Faculty

Greg Eyink

Professor

Research Interests

  • Mathematical Physics
  • Fluid Mechanics
  • Turbulence
  • Dynamical Systems
  • Partial Differential Equations
  • Nonequilibrium Statistical Physics
  • Geophysics and Climate

Gregory Eyink, a professor of applied mathematics and statistics, focuses mainly on the phenomenon of turbulence in fluids and plasmas. He holds joint appointments in the departments of Physics and Astronomy, Mathematics, and Mechanical Engineering.

Eyink’s research interests include mathematical physics, fluid mechanics, turbulence, dynamical systems, partial differential equations, non-equilibrium statistical physics, geophysics and climate, astrophysics, and plasma physics. In addition to research on turbulence, he has contributed to renormalization group in quantum field theory, to statistical physics (thermal fluctuations and variational principles in non-equilibrium statistical mechanics), to data assimilation in geophysics, and to magnetic reconnection in astrophysics and space physics.

One of Eyink’s most influential works was a 1994 paper that provided the first published proof of a claim on fluid singularities made by Lars Onsager decades earlier and that gave the modern formulation of what is now called the “Onsager conjecture.” Eyink continues to work in this direction, publishing in 2018 a series of three papers in Physical Review X extending Onsager’s exact analysis to turbulence in compressible fluids, relativistic fluids and kinetic plasmas. In addition, a 2011 study by Eyink in the journal Physical Review E presented the first numerical evidence for the predicted phenomenon of “spontaneous stochasticity,” according to which two beads dropped into identical locations in the same turbulent flow will end up in different locations. A 2013 study that he co-authored in Nature found that the flux-freezing theorem for ideal plasmas is violated by this turbulence effect, allowing rapid changes of magnetic field-line topology during explosive events such as solar flares.

Current projects include studies of phase-space entropy cascade using spacecraft data on turbulent plasma in the terrestrial magnetosheath and stochastic Lagrangian dynamics of vorticity in wall-bounded turbulent flows.

Eyink is a Fellow of the American Physical Society and of the Institute of Physics. He is an advisory board member and former editor-in-chief for the Journal of Turbulence. In 2005 and 2006, Eyink was the Stanislaw Ulam Visiting Scholar at the Center for Nonlinear Studies at Los Alamos National Laboratory.

Eyink received his bachelor’s degree in mathematics and philosophy from Ohio State University in 1981 and a Ph. in physics from OSU in 1987. He then completed postdoctoral studies at Rutgers University, and worked as visiting research assistant professor in the Departments of Physics and Mathematics at the University of Illinois, Urbana-Champaign. Eyink was a professor in the Departments of Physics and Mathematics at the University of Arizona before joining the Whiting School of Engineering faculty in 2003.

Education
  • Ph.D. 1987, Ohio State Univ Columbus
Experience
  • 2011 - Present:  J/S FACULTY APPOINTMENT, A&S Physics & Astronomy
  • 2011 - Present:  J/S FACULTY APPOINTMENT, A&S Mathematics
  • 2005 - 2006:  Stanislaw Ulam Visiting Scholar at the Center for Nonlinear Studies, Los Alamos National Laboratory
  • 2003 - 2008:  Editor-in-Chief, Journal of Turbulence
  • 2003 - Present:  J/S FACULTY APPOINTMENT, WSE Mechanical Engineering
  • 2002 - 2003:  Professor, Department of Physics, University Of Arizona
  • 2002 - 2003:  Professor, Department of Mathematics, University Of Arizona
  • 2001 - 2002:  Associate Professor, Department of Physics, University Of Arizona
  • 1999 - 2002:  Associate Professor, Department of Mathematics, University Of Arizona
  • 1995 - 1999:  Assistant Professor, Department of Mathematics, University Of Arizona
  • 1994 - 1995:  Visiting Assistant Professor, Department of Mathematics, University Of Arizona
  • 1992 - 1994:  Visiting Research Assistant Professor, Departments of Physics & Mathematics, University of Illinois at Urbana-Champaign
  • 1991 - 1992:  Postdoctoral researcher, Rutgers University
  • 1990 - 1991:  Postdoctoral researcher, Universitat Munchen
  • 1989 - 1990:  Postdoctoral researcher, Rutgers University
  • 1988 - 1989:  NATO-NSF Postdoctoral Fellow in Science, Rutgers University
  • 1987 - 1988:  Belgian-American Education Foundation Fellow, Universite Libre de Bruxelles
Awards
  • 2005:  2005-2006 Stanislaw Ulam Visiting Scholar - CNLS
  • 2004:  Elected Fellow of The Institute of Physics - August 2004
  • 2003:  2003 Fellow of the American Physical Society. Citation: "For his work in nonequilibrium statistical mechanics"
  • 1995:  1995 Francois N. Frenkiel Award recipient - for the paper "The Renormalization Group Method in Statistical Hydrodynamics"Phys. Fluids 6 3063-3078 (1994).
  • 1979:  Phi Beta Kappa (1979) - Elected Outstanding Student (one of two) in both Departments of Mathematics and Philosophy - OSU (1981).
Journal Articles
  • Eyink GL (2018).  Cascades and Dissipative Anomalies in Nearly Collisionless Plasma Turbulence.  Physical Review X.  8(4).
  • Drivas TD, Eyink GL (2018).  An Onsager Singularity Theorem for Turbulent Solutions of Compressible Euler Equations.  Communications in Mathematical Physics.  359(2).
  • Eyink GL, Drivas TD (2018).  Cascades and Dissipative Anomalies in Compressible Fluid Turbulence.  Physical Review X.  8(1).
  • Eyink GL, Drivas TD (2018).  Cascades and Dissipative Anomalies in Relativistic Fluid Turbulence.  Physical Review X.  8(1).
  • Eyink GL, Drivas TD (2018).  A Lagrangian fluctuation-dissipation relation for scalar turbulence. Part III. Turbulent Rayleigh-Bénard convection.  Journal of Fluid Mechanics.  836.
  • Drivas TD, Eyink GL (2017).  A Lagrangian fluctuation-dissipation relation for scalar turbulence. Part I. Flows with no bounding walls.  Journal of Fluid Mechanics.  829.
  • Drivas TD, Eyink GL (2017).  A Lagrangian fluctuation-dissipation relation for scalar turbulence. Part II. Wall-bounded flows.  Journal of Fluid Mechanics.  829.
  • Shi YK, Eyink GL (2016).  Resonance Van Hove singularities in wave kinetics.  Physica D: Nonlinear Phenomena.  332.
  • Eyink GL, Shi Y (2016).  Resonance Van Hove Singularities in Wave Kinetics.  Physica D.  332.  28.
  • Graham J, Kanov K, Yang XIA, Lee M, Malaya N, Lalescu CC, Burns R, Eyink G, Szalay A, Moser RD, Meneveau C (2016).  A web services accessible database of turbulent channel flow and its use for testing a new integral wall model for LES.  Journal of Turbulence.  17(2).
  • Eyink GL, Graham J, Kanov K, Yang X, Lee M, Malaya N, Lalescu C, Burns R, Szalay A, Moser RD, Meneveau C (2015).  A Web services accessible database of turbulent channel flow and its use for testing a new integral wall model for LES.  Journal of Turbulence.  17.  181-215.
  • Kanov K, Burns R, Lalescu C, Eyink G (2015).  The Johns Hopkins Turbulence Databases: An Open Simulation Laboratory for Turbulence Research.  Computing in Science and Engineering.  17(5).
  • Eyink GL, Kanov K, Burns R, Lalescu C (2015).  The Johns Hopkins Turbulence Databases: An Open Simulation Laboratory for Turbulence Research.  Comput. Sci. Eng.  17.  10-17.
  • Eyink GL (2015).  TURBULENT GENERAL MAGNETIC RECONNECTION.  Astrophysical Journal.  807(2).
  • Eyink G (2015).  Turbulent General Magnetic Reconnection.  Astrophysical J..  807.  29.
  • Eyink GL, Lalescu CC, Shi Y, Drivas TD, Vishniac E, Lazarian A (2015).  Inertial-range reconnection in magnetohydrodynamic turbulence and in the solar wind.  Physical Review Letters.  115.  5.
  • Lalescu CC, Shi YK, Eyink GL, Drivas TD, Vishniac ET, Lazarian A (2015).  Inertial-Range Reconnection in Magnetohydrodynamic Turbulence and in the Solar Wind.  Physical Review Letters.  115(2).
  • Lazarian A, Eyink G, Vishniac E, Kowal G (2015).  Turbulent reconnection and its implications.  Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.  373(2041).
  • Eyink GL, Lazarian A, Vishniac E, Kowal G (2015).  Turbulent reconnection and its implications.  Philosophical Transactions of the Royal Society A.  373.  46.
  • Eyink GL, Drivas TD (2015).  Spontaneous stochasticity and anomalous dissipation for burgers equation.  Journal of Statistical Physics.  158(2).
  • Wang X, Szalay A, Aragón-Calvo MA, Neyrinck MC, Eyink GL (2014).  Kinematic morphology of large-scale structure: Evolution from potential to rotational flow.  Astrophysical Journal.  793(1).
  • Eyink GL, Benveniste D (2013).  Diffusion approximation in turbulent two-particle dispersion.  Physical Review E - Statistical, Nonlinear, and Soft Matter Physics.  88(4).
  • Eyink G, Vishniac E, Lalescu C, Aluie H, Kanov K, Bürger K, Burns R, Meneveau C, Szalay A (2013).  Flux-freezing breakdown in high-conductivity magnetohydrodynamic turbulence.  Nature.  497(7450).
  • Lalescu CC, Meneveau C, Eyink GL (2013).  Synchronization of chaos in fully developed turbulence.  Physical Review Letters.  110(8).
  • Eyink GL, Benveniste D (2013).  Suppression of particle dispersion by sweeping effects in synthetic turbulence.  Physical Review E - Statistical, Nonlinear, and Soft Matter Physics.  87(2).
  • Graham J, Kanov K, Givelberg E, Burns R, Eyink G, Szalay A, Meneveau C, Lee M, Malaya N, Moser R (2013).  A Web-Services accessible database for channel flow turbulence at $ Re_$$ tau $= 1000.  Bulletin of the American Physical Society.  58.
  • Lalescu CC, Meneveau C, Eyink G (2013).  Synchronization of Chaos in Fully Developed Turbulence.  Physical review letters.  110(8).  084102.
  • Eyink G, Vishniac E, Lalescu C, Aluie H, Kanov K, Bürger K, Burns R, Meneveau C, Szalay A (2013).  Flux-freezing breakdown in high-conductivity magnetohydrodynamic turbulence.  Nature.  497(7450).  466-469.
  • Yu H, Kanov K, Perlman E, Graham J, Frederix E, Burns R, Szalay A, Eyink G, Meneveau C (2012).  Studying Lagrangian dynamics of turbulence using on-demand fluid particle tracking in a public turbulence database.  Journal of Turbulence.  13.
  • Kanov K, Burns R, Eyink G, Meneveau C, Szalay A (2012).  Data-intensive spatial filtering in large numerical simulation datasets.  International Conference for High Performance Computing, Networking, Storage and Analysis, SC.
  • Vishniac ET, Pillsworth S, Eyink G, Kowal G, Lazarian A, Murray S (2012).  Reconnection current sheet structure in a turbulent medium.  Nonlinear Processes in Geophysics.  19(6).
  • Vishniac E, Pillsworth S, Eyink G, Kowal G, Lazarian A, Murray S (2012).  Reconnection current sheet structure in a turbulent medium.  Nonlinear Processes in Geophysics.  19.  605-610.
  • Eyink GL, Shi YK (2012).  Kinetic wave turbulence.  Physica D: Nonlinear Phenomena.  241(18).
  • Eyink G, Shi Y (2012).  Kinetic wave turbulence.  Physica D.  241(18).  25.
  • Vishniac ET, Pillsworth S, Eyink G, Kowal G, Lazarian A, Murray S (2012).  Reconnection current sheet structure in a turbulent medium.  Nonlinear Processes in Geophysics.  19(6).  6.
  • Lazarian A, Eyink GL, Vishniac ET (2012).  Relation of astrophysical turbulence and magnetic reconnectiona.  Physics of Plasmas.  19(1).
  • Yu H, Kanov K, Perlman E, Graham J, Frederix E, Burns R, Szalay A, Eyink G, Meneveau C (2012).  Studying Lagrangian dynamics of turbulence using on-demand fluid particle tracking in a public turbulence database.  Journal of Turbulence.  (13).
  • Lazarian A, Eyink G, Vishniac ET (2012).  Relation of astrophysical turbulence and magnetic reconnection.  Physics of Plasmas.  19(1).
  • Bürger K, Treib M, Westermann R, Werner S, Lalescu CC, Szalay A, Meneveau C, Eyink G (2012).  Vortices within vortices: hierarchical nature of vortex tubes in turbulence.  arXiv preprint arXiv:1210.3325.
  • Eyink GL, Lazarian A, Vishniac ET (2011).  Fast magnetic reconnection and spontaneous stochasticity.  Astrophysical Journal.  743(1).
  • Eyink GL (2011).  Stochastic flux freezing and magnetic dynamo.  Physical Review E - Statistical, Nonlinear, and Soft Matter Physics.  83(5).
  • Eyink G, Lazarian A, Vishniac ET (2011).  FAST MAGNETIC RECONNECTION AND SPONTANEOUS STOCHASTICITY.  Astrophysical Journal.  743(1).
  • Eyink G (2011).  Stochastic flux freezing and magnetic dynamo.  Physical Review E.  83(5).
  • Eyink GL (2010).  Fluctuation dynamo and turbulent induction at small Prandtl number.  Physical Review E - Statistical, Nonlinear, and Soft Matter Physics.  82(4).
  • Chen S, Eyink GL, Lathrop DP, Meneveau C (2010).  Preface.  Physica D: Nonlinear Phenomena.  239(14).
  • Eyink GL (2010).  Stochastic least-action principle for the incompressible Navier-Stokes equation.  Physica D: Nonlinear Phenomena.  239(14).
  • Wan M, Xiao Z, Meneveau C, Eyink GL, Chen S (2010).  Dissipation-energy flux correlations as evidence for the Lagrangian energy cascade in turbulence.  Physics of Fluids.  22(6).
  • Aluie H, Eyink GL (2010).  Scale locality of magnetohydrodynamic turbulence.  Physical Review Letters.  104(8).
  • Eyink GL, Neto AF (2010).  Small-scale kinematic dynamo and non-dynamo in inertial-range turbulence.  New Journal of Physics.  12.
  • Eyink G (2010).  Fluctuation dynamo and turbulent induction at small Prandtl number.  Physical Review E.  82(4).
  • Aluie H, Eyink G (2010).  Scale-locality of magnetohydrodynamic turbulence.  Physical Review Letters.  104.  081101.
  • Eyink G, Neto AF (2010).  Small-scale kinematic dynamo and non-dynamo in inertial-range turbulence.  12.  023021.
  • Wan M, Xiao Z, Meneveau C, Eyink G, Chen S (2010).  Dissipation-energy flux correlations as evidence for the Lagrangian energy cascade in turbulence.  Physics of Fluids (1994-present).  22(6).  061702.
  • Aluie H, Eyink GL (2009).  Localness of energy cascade in hydrodynamic turbulence. II. Sharp spectral filter.  Physics of Fluids.  21(11).
  • Eyink GL, Aluie H (2009).  Localness of energy cascade in hydrodynamic turbulence. I. smooth coarse graining.  Physics of Fluids.  21(11).
  • Eyink GL (2009).  Stochastic line motion and stochastic flux conservation for nonideal hydromagnetic models.  Journal of Mathematical Physics.  50(8).
  • Xiao Z, Wan M, Chen S, Eyink GL (2009).  Physical mechanism of the inverse energy cascade of two-dimensional turbulence: A numerical investigation.  Journal of Fluid Mechanics.  619.
  • Li Y, Chevillard L, Eyink G, Meneveau C (2009).  Matrix exponential-based closures for the turbulent subgrid-scale stress tensor.  Physical Review E - Statistical, Nonlinear, and Soft Matter Physics.  79(1).
  • Li Y, Chevillard L, Eyink G, Meneveau C (2009).  Matrix exponential-based closures for the turbulent subgrid-scale stress tensor.  Physical Review E.  79(1).  016305.
  • Eyink GL (2008).  Turbulent flow in pipes and channels as cross-stream "inverse cascades" of vorticity.  Physics of Fluids.  20(12).
  • Li Y, Perlman E, Wan M, Yang Y, Meneveau C, Burns R, Chen S, Szalay A, Eyink G (2008).  A public turbulence database cluster and applications to study Lagrangian evolution of velocity increments in turbulence.  Journal of Turbulence.  9.
  • Eyink GL (2008).  Dissipative anomalies in singular Euler flows.  Physica D: Nonlinear Phenomena.  237(14-17).
  • Eyink G, Frisch U, Moreau R, Sobolevskii A (2008).  General introduction.  Physica D: Nonlinear Phenomena.  237(14-17).
  • Alexander FJ, Johnson G, Eyink GL, Kevrekidis IG (2008).  Equation-free implementation of statistical moment closures.  Physical Review E - Statistical, Nonlinear, and Soft Matter Physics.  77(2).
  • CHEN S, Eyink G, FALKOVICH G, FRISCH U, ORSZAG S (2008).  Robert Harry Kraichnan.  Physics Today.  61(5).  70-71.
  • Li Y, Perlman E, Wan M, Yang Y, Meneveau C, Burns R, Chen S, Szalay A, Eyink G (2008).  A public turbulence database cluster and applications to study Lagrangian evolution of velocity increments in turbulence.  Journal of Turbulence.  (9).
  • Eyink GL (2007).  Turbulent diffusion of lines and circulations.  Physics Letters, Section A: General, Atomic and Solid State Physics.  368(6).
  • Chevillard L, Li Y, Eyink G, Meneveau C (2007).  Matrix Exponential-Based Closures for the Turbulent Stress Tensor.  arXiv preprint arXiv:0704.3781.
  • Meneveau C, Li Y, Perlman E, Wan M, Yang Y, Burns R, Chen S, Eyink G, Szalay A (2007).  Analysis of Turbulence Datasets using a Database Cluster: Requirements, Design, and Sample Applications.  Bulletin of the American Physical Society.  52.
  • Eyink GL (2006).  Cascade of circulations in fluid turbulence.  Physical Review E - Statistical, Nonlinear, and Soft Matter Physics.  74(6).
  • Eyink GL, Aluie H (2006).  The breakdown of Alfvén's theorem in ideal plasma flows: Necessary conditions and physical conjectures.  Physica D: Nonlinear Phenomena.  223(1).
  • Chen S, Eyink GL, Wan M, Xiao Z (2006).  Is the Kelvin theorem valid for high Reynolds number turbulence?.  Physical Review Letters.  97(14).
  • Li Y, Meneveau C, Chen S, Eyink GL (2006).  Subgrid-scale modeling of helicity and energy dissipation in helical turbulence.  Physical Review E - Statistical, Nonlinear, and Soft Matter Physics.  74(2).
  • Eyink GL, Kim S (2006).  A maximum entropy method for particle filtering.  Journal of Statistical Physics.  123(5).
  • Chen S, Ecke RE, Eyink GL, Rivera M, Wan M, Xiao Z (2006).  Physical mechanism of the two-dimensional inverse energy cascade.  Physical Review Letters.  96(8).
  • Eyink GL, Sreenivasan KR (2006).  Onsager and the theory of hydrodynamic turbulence.  Reviews of Modern Physics.  78(1).
  • Eyink GL (2006).  Multi-scale gradient expansion of the turbulent stress tensor.  Journal of Fluid Mechanics.  549.
  • Eyink GL (2006).  A turbulent constitutive law for the two-dimensional inverse energy cascade.  Journal of Fluid Mechanics.  549.
  • Eyink G, Sreenivasan KR (2006).  Onsager and the Theory of Hydrodynamic Turbulence.  Rev. Mod. Phys..  78.  87-135.
  • EYINK G, ALUIE H (2006).  The breakdown of Alfve ́n’s theorem in ideal plasma flows: Necessary conditions and physical conjectures.  Physica D.  223.  82-92.
  • Li Y, Meneveau C, Chen S, Eyink G (2006).  Subgrid-scale modeling of helicity and energy dissipation in helical turbulence.  Physical Review E.  74(2).  026310.
  • Chen Q, Chen S, Eyink GL, Holm DD (2005).  Resonant interactions in rotating homogeneous three-dimensional turbulence.  Journal of Fluid Mechanics.  542.
  • Eyink GL (2005).  Locality of turbulent cascades.  Physica D: Nonlinear Phenomena.  207(1-2).
  • Alexander FJ, Eyink GL, Restrepo JM (2005).  Accelerated Monte Carlo for optimal estimation of time series.  Journal of Statistical Physics.  119(5-6).
  • Eyink GL (2005).  Statistical hydrodynamics of the thermohaline circulation in a two-dimensional model.  Tellus, Series A: Dynamic Meteorology and Oceanography.  57(1).
  • Eyink GL, Haine TWN, Lea DJ (2004).  Ruelle's linear response formula, ensemble adjoint schemes and Lévy flights.  Nonlinearity.  17(5).
  • Eyink GL, Restrepo JM, Alexander FJ (2004).  A mean field approximation in data assimilation for nonlinear dynamics.  Physica D: Nonlinear Phenomena.  195(3-4).
  • Eyink GL, Chen S, Chen Q (2003).  Gibbsian hypothesis in turbulence.  Journal of Statistical Physics.  113(5-6).
  • Kim S, Eyink GL, Restrepo JM, Alexander FJ, Johnson G (2003).  Ensemble filtering for nonlinear dynamics.  Monthly Weather Review.  131(11).
  • Taylor MA, Kurien S, Eyink GL (2003).  Recovering isotropic statistics in turbulence simulations: The Kolmogorov 4/5th law.  Physical Review E - Statistical, Nonlinear, and Soft Matter Physics.  68(2 2).
  • Chen Q, Chen S, Eyink GL, Sreenivasan KR (2003).  Kolmogorov's third hypothesis and turbulent sign statistics.  Physical Review Letters.  90(25 I).
  • Chen Q, Chen S, Eyink GL, Holm DD (2003).  Intermittency in the joint cascade of energy and helicity.  Physical Review Letters.  90(21).
  • Chen Q, Chen S, Eyink GL (2003).  The joint cascade of energy and helicity in three-dimensional turbulence.  Physics of Fluids.  15(2).
  • Chen Q, Chen S, Eyink GL, Sreenivasan KR (2003).  Kolmogorov’s Third Hypothesis and Turbulent Sign Statistics.  Physical Review Letters.  90(25).
  • Chen S, Ecke RE, Eyink GL, Wang X, Xiao Z (2003).  Physical mechanism of the two-dimensional enstrophy cascade.  Physical Review Letters.  91(21).
  • Eyink GL (2003).  Local 4/5-law and energy dissipation anomaly in turbulence.  Nonlinearity.  16(1).
  • Chen Q, Chen S, Eyink GL, Holm DD (2003).  Intermittency in the Joint Cascade of Energy and Helicity.  Physical Review Letters.  90(21).
  • Taylor MA, Kurien S, Eyink GL (2003).  Recovering isotropic statistics in turbulence simulations: The Kolmogorov 4/5th law.  Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics.  68(2).
  • CHEN Q, CHEN S, EYINK G, SREEENIVASAN K (2003).  Kolmogorovs Third Hypothesis and Turbulent Sign Statistics.  Phys. Rev. Lett..  90.  254501.
  • Eyink G, Xin J (2002).  Statistical analysis of a semilinear hyperbolic system advected by a white in time random velocity field.  Nonlinearity.  15(3).
  • Eyink GL (2001).  Dissipation in turbulent solutions of 2D Euler equations.  Nonlinearity.  14(4).
  • Chaves M, Eyink G, Frisch U, Vergassola M (2001).  Universal decay of scalar turbulence.  Physical Review Letters.  86(11).
  • Eyink GL, Restrepo JM (2000).  Most probable histories for nonlinear dynamics: Tracking climate transitions.  Journal of Statistical Physics.  101(1-2).
  • Eyink GL, Xin J (2000).  Self-similar decay in the Kraichnan model of a passive scalar.  Journal of Statistical Physics.  100(3-4).
  • Eyink GL (2000).  Fluctuation-response relations for multitime correlations.  Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics.  62(1 A).
  • Eyink GL, Thomson DJ (2000).  Free decay of turbulence and breakdown of self-similarity.  Physics of Fluids.  12(3).
  • Eyink GL, Alexander FJ (1998).  Predictive turbulence modeling by variational closure.  Journal of Statistical Physics.  91(1-2).
  • Eyink GL (1998).  Action principle in statistical dynamics.  Progress of Theoretical Physics Supplement.  (130).
  • Alexander FJ, Eyink GL (1998).  Shape-dependent thermodynamics and nonlocal hydrodynamics in a non-Gibbsian steady state of a drift-diffusion system.  Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics.  57(6).
  • Eyink GL (1998).  Linear stochastic models of nonlinear dynamical systems.  Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics.  58(6).
  • Eyink GL, Alexander FJ (1997).  Turbulence fluctuations and new universal realizability conditions in modeling.  Physical Review Letters.  78(13).
  • Eyink GL (1997).  Fluctuations in the irreversible decay of turbulent energy.  Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics.  56(5).
  • Alexander FJ, Eyink GL (1997).  Rayleigh-ritz calculation of effective potential far from equilibrium.  Physical Review Letters.  78(1).
  • Eyink GL (1996).  Turbulence noise.  Journal of Statistical Physics.  83(5-6).
  • Eyink G, Xin J (1996).  Dissipation independence of the inertial-convective range in a passive scalar model.  Physical Review Letters.  77(13).
  • Eyink GL (1996).  Action principle in nonequilibrium statistical dynamics.  Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics.  54(4).
  • Eyink GL (1996).  Intermittency and anomalous scaling of passive scalars in any space dimension.  Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics.  54(2).
  • Eyink GL, Lebowitz JL, Spohn H (1996).  Hydrodynamics and fluctuations outside of local equilibrium: Driven diffusive systems.  Journal of Statistical Physics.  83(3-4).
  • Eyink GL (1996).  Exact results on stationary turbulence in 2D: Consequences of vorticity conservation.  Physica D: Nonlinear Phenomena.  91(1-2).
  • Eyink GL (1995).  Exact results on scaling exponents in the 2D enstrophy cascade.  Physical Review Letters.  74(19).
  • Eyink GL (1995).  Local energy flux and the refined similarity hypothesis.  Journal of Statistical Physics.  78(1-2).
  • Eyink GL (1995).  Multifractals and Lagrangian field theory.  Chaos, Solitons and Fractals.  5(8).
  • Eyink GL (1995).  Besov spaces and the multifractal hypothesis.  Journal of Statistical Physics.  78(1-2).
  • Eyink GL (1994).  Energy dissipation without viscosity in ideal hydrodynamics I. Fourier analysis and local energy transfer.  Physica D: Nonlinear Phenomena.  78(3-4).
  • Eyink G, Goldenfeld N (1994).  Analogies between scaling in turbulence, field theory, and critical phenomena.  Physical Review E.  50(6).
  • Eyink GL (1994).  The renormalization group method in statistical hydrodynamics.  Physics of Fluids.  6(9).
  • Eyink GL (1994).  Large-N limit of the "spherical model" of turbulence.  Physical Review E.  49(5).
  • Chernov NI, Eyink GL, Lebowitz JL, Sinai YG (1993).  Steady-state electrical conduction in the periodic Lorentz gas.  Communications in Mathematical Physics.  154(3).
  • Eyink GL, Spohn H (1993).  Negative-temperature states and large-scale, long-lived vortices in two-dimensional turbulence.  Journal of Statistical Physics.  70(3-4).
  • Eyink GL (1993).  Lagrangian field theory, multifractals, and universal scaling in turbulence.  Physics Letters A.  172(5).
  • Chernov NI, Eyink GL, Lebowitz JL, Sinai YG (1993).  Derivation of Ohm's law in a deterministic mechanical model.  Physical Review Letters.  70(15).
  • Eyink GL (1993).  Renormalization group and operator product expansion in turbulence: Shell models.  Physical Review E.  48(3).
  • Eyink G, Lebowitz JL, Spohn H (1991).  Lattice gas models in contact with stochastic reservoirs: Local equilibrium and relaxation to the steady state.  Communications in Mathematical Physics.  140(1).
  • Eyink GL (1990).  Dissipation and large thermodynamic fluctuations.  Journal of Statistical Physics.  61(3-4).
  • Eyink G, Lebowitz JL, Spohn H (1990).  Hydrodynamics of stationary non-equilibrium states for some stochastic lattice gas models.  Communications in Mathematical Physics.  132(1).
  • Eyink G (1989).  Quantum field-theory models on fractal spacetime - I. Introduction and overview.  Communications in Mathematical Physics.  125(4).
  • Eyink G (1989).  Quantum field-theory models on fractal spacetime - II. Hierarchical propagators.  Communications in Mathematical Physics.  126(1).
  • Eyink G, Drivas TD  An Onsager Singularity Theorem for Turbulent Solutions of Compressible Euler Equations.  Communications in Mathematical Physics.
  • Eyink G, Drivas TD (2017).  A Lagrangian fluctuation-dissipation relation for scalar turbulence: II. Wall-bounded flows..  Journal of Fluid Mechanics.
  • Eyink G, Drivas TD (2016).  A Lagrangian fluctuation-dissipation relation for scalar turbulence, I. Flows with no bounding walls..  Journal of Fluid Mechanics.
  • Eyink GL, Drivas TD (2015).  Quantum spontaneous stochasticity.  New Journal of Physics.  38.
  • Eyink G, Drivas TD  Cascades and Dissipative Anomalies in Relativistic Fluid Turbulence.  Physical Review X.
  • Eyink G, Drivas TD (2017).  A Lagrangian fluctuation-dissipation relation for scalar turbulence: III. Turbulent Rayleigh-Benard convection..
  • Eyink G, Drivas TD  Cascades and Dissipative Anomalies in Compressible Fluid Turbulence.  Physical Review X.
Book Chapters
  • Eyink G, Frisch U (2011).  Robert H. Kraichnan.  A Voyage Through Turbulence.  Cambridge University Press.  329-372.
Conference Proceedings
  • Lazarian A, Eyink G, Vishniac E, Kowal G (2015).  Magnetic Reconnection in Astrophysical Environments.  Astrophysics and Space Science Library.  407.  311-372.
  • Lazarian A, Eyink G, Vishniac E, Kowal G (2014).  Reconnection in Turbulent Astrophysical Fluids.  8th International Conference of Numerical Modeling of Space Plasma Flows (ASTRONUM 2013).  488.  23.
  • Vishniac ET, Aluie H, Burns R, Eyink G, Kanov K, Lalescu C, Meneveau C, Szalay A (2013).  The Breakdown of Flux Freezing in High-Conductivity Magnetohydrodynamic Turbulence.  American Astronomical Society Meeting Abstracts.  221.
  • Lalescu C, Eyink G, Kanov K, Burns R, Meneveau C, Szalay A, Vishniac E, Aluie H, Bürger K (2013).  Flux-freezing breakdown observed in high-conductivity magnetohydrodynamic turbulence.  APS April Meeting Abstracts.  1.  2003.
  • Lalescu C, Meneveau C, Eyink G (2013).  Chaos Synchronization in Navier-Stokes Turbulence.  APS Meeting Abstracts.  1.  39009.
  • Eyink G, Vishniac E, Lalescu C, Aluie H, Kanov K, Burns R, Meneveau C, Szalay A (2013).  Indeterminism in Classical Dynamics of Particle Motion.  APS Meeting Abstracts.  1.  39002.
  • Yu H, Kanov K, Perlman E, Burns R, Szalay A, Eyink G, Meneveau C (2011).  Studying Lagrangian dynamics of turbulence using on-demand fluid particle tracking in the JHU turbulence database.  APS Meeting Abstracts.  1.  12005.
  • Meneveau C, Yang Y, Perlman E, Wan M, Burns R, Szalay A, Chen S, Eyink G (2008).  Analysis of isotropic turbulence using a public database and the Web service model, and applications to study subgrid models.  APS Division of Fluid Dynamics Meeting Abstracts.  1.
  • Wan M, Eyink G (2005).  The Lagrangian nature of turbulent energy cascade.  APS Division of Fluid Dynamics Meeting Abstracts.  1.
  • Li Y, Meneveau C, Eyink G, Chen S (2003).  Joint energy and helicity dissipation in LES of isotropic turbulence.  APS Division of Fluid Dynamics Meeting Abstracts.  1.
  • Nelkin M, Chen S, Eyink G, Meneveau C (2001).  Shell Models, Hypoviscosity and Intermittency.  APS Division of Fluid Dynamics Meeting Abstracts.  1.
  • "How field-theory anomalies and RG were discovered by Onsager for turbulence and  how his exact, non-perturbative approach applies to new problems (e.g. relativistic turbulence)", PCTS Lunch Seminar.  Princeton New Jersey, United States of America (the).  December 7, 2017
  • "Entropy Cascade in Compressible and Relativistic Turbulence", 70th Annual Meeting of the APS Division of Fluid Dynamics.  Denver Colorado, United States of America (the).  November 19, 2017
  • "Theory of Compressible Fluid Turbulence", 70th Annual Meeting of the APS Division of Fluid Dynamics.  Denver Colorado, United States of America (the).  November 19, 2017
  • "A Lagrangian Approach to Turbulent Rayleigh-Bénard Convection", Frontiers in Turbulence - KRS70 at Denver.  Denver Colorado, United States of America (the).  November 18, 2017
  • "Inertial-Range Turbulent Magnetic Reconnection", PPPL Plasma Theory Seminar.  Princeton New Jersey, United States of America (the).  November 15, 2017
  • "Stochastic Lagrangian Representation of Diffusion and Dissipation in Fluid Dynamics", Geometrical and Statistical Fluid Dynamics.  Stony Brook New York, United States of America (the).  October 13, 2017
  • "Onsager’s Ideal Turbulence Theory", PPPL Plasma Theory Seminar.  Princeton New Jersey, United States of America (the).  September 12, 2017
  • "Cascades and Dissipative Anomalies in Relativistic Fluid Turbulence", Fluid Flows: from Graphene to Planetary Atmospheres.  Stony Brook New York, United States of America (the).  March 23, 2017
  • "Real-World Turbulence as Dissipative Euler Solutions: A Physics Perspective", Turbulent Dissipation, Mixing and Predictability.  UCLA.  January 13, 2017
  • "Anomalous Dissipation, Spontaneous Stochasticity, and Onsager's Conjecture", Turbulent Dissipation, Mixing and Predictability.  UCLA.  January 12, 2017
  • "What's So Surprising About Fluid Turbulence?", Harvard Physics Department Colloquium.  Cambridge Massachusetts, United States of America (the).  September 26, 2016
  • "Spontaneous Stochasticity and Anomalous Dissipation", Mathematical Analysis of Turbulence.  Los Angeles, CA.  October 3, 2014
  • "Mathematical Analysis of Turbulence III", Mathematics of Turbulence Tutorials.  Los Angeles, CA.  September 15, 2014
  • "Mathematical Analysis of Turbulence II", Mathematics of Turbulence Tutorials.  Los Angeles, CA.  September 9, 2014
  • "Spontaneous Stochasticity and Dissipation Anomalies in Fluid Turbulence", Geometrical Aspects of Hydrodynamics.  Stony Brook, NY.  May 23, 2014
  • "Spontaneous Stochasticity and Turbulent Reconnection", Midwest Magnetic Fields Workshop.  Madison, WI.  April 28, 2014
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