Eyink, Gregory

Faculty - Ams

Whitehead Hall 202D
3400 N Charles St
(410) 516-7201

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  • Ph.D. 1987, The Ohio State University
  • B.S. 1981, The Ohio State University
  • 2002 - Present:  Professor, Department of Applied Mathematics & Statistics, Johns Hopkins University
  • 2005 - 2006:  Stanislaw Ulam Visiting Scholar at the Center for Nonlinear Studies, Los Alamos National Laboratory
  • 2002 - 2003:  Professor, Department of Mathematics, University of Arizona
  • 2002 - 2003:  Professor, Department of Physics, 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
  • 1992:  Consultant with CNLS, Los Alamos National Laboratory
  • 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
Research Areas
  • Superfluids
  • Stochastic analysis
  • Statistical mechanics (equilibrium and nonequilibrium)
  • Partial differential equations
  • Magnetohydrodynamics
  • Geophysical fluid dynamics
  • Fluid mechanics and turbulence
  • Dynamical systems
  • Climate
  • 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).
  • "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


Journal Articles
  • Eyink, G., Drivas, T. (2015).  Spontaneous Stochasticity and Anomalous Dissipation for Burgers Equation.  Journal of Statistical Physics.  158.  386-432.
  • Eyink, G. (2014).  Turbulent General Magnetic Reconnection.  Astrophysical J. .
  • Wang, X., Szalay, A., Aragón-Calvo, M., Neyrinck, M., Eyink, G. (2014).  Kinematic Morphology of Large-scale Structure: Evolution from Potential to Rotational Flow.  The Astrophysical Journal.  793.  58.
  • 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.
  • 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.
  • Lalescu, C. C., Meneveau, C., Eyink, G. (2013).  Synchronization of Chaos in Fully Developed Turbulence.  Physical review letters.  110(8).  084102.
  • Eyink, G., Benveniste, D. (2013).  Diffusion approximation in turbulent two-particle dispersion.  Phys. Rev. E.  88(4).  041001.
  • Eyink, G., Benveniste, D. (2013).  Suppression of particle dispersion by sweeping effects in synthetic turbulence.  Phys. Rev. E.  87(2).  023011.
  • Eyink, G., Shi, Y. (2012).  Kinetic wave turbulence.  Physica D.  241(18).  25.
  • Vishniac, E. T., 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, G., Vishniac, E. T. (2012).  Relation of astrophysical turbulence and magnetic reconnection.  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).
  • Bürger, K., Treib, M., Westermann, R., Werner, S., Lalescu, C. C., Szalay, A., Meneveau, C., Eyink, G. (2012).  Vortices within vortices: hierarchical nature of vortex tubes in turbulence.  arXiv preprint arXiv:1210.3325.
  • 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, G., Lazarian, A., Vishniac, E. T. (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).
  • 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.
  • 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, A. F. (2010).  Small-scale kinematic dynamo and non-dynamo in inertial-range turbulence.  12.  023021.
  • EYINK, G. (2010).  Stochastic Least-Action Principle for the Incompressible Navier Stokes Equation.  Physica D.  239.  1236-1240.
  • EYINK, G., ALUIE, H. (2009).  Localness of energy cascade in hydrodynamic turbulence. I. Smooth coarse graining.  PHYSICS OF FLUIDS.  21(11).
  • ALUIE, H., EYINK, G. (2009).  Localness of energy cascade in hydrodynamic turbulence. II. Sharp spectral filter.  PHYSICS OF FLUIDS.  21(11).
  • 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.
  • XIAO, Z., WAN, M., CHEN, S., EYINK, G. (2009).  Physical Mechanism of the Inverse Energy Cascade of Two-Dimensional Turbulence: A Numerical Investigation.  J. Fluid Mech..  619.  1-44.
  • EYINK, G. (2009).  Stochastic line motion and stochastic flux conservation for nonideal hydromagnetic models.  JOURNAL OF MATHEMATICAL PHYSICS.  50(8).
  • 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, G. (2008).  Dissipative Anomalies in Singular Euler Flows.  Physica D.  237.  1956-1968.
  • ALEXANDER, F., JOHNSON, G., EYINK, G., KEVREKIDIS, I. (2008).  Equation-Free Implementation of Statistical Moment Closures.  Physical Review E.  77.  026701.
  • CHEN, S., Eyink, G., FALKOVICH, G., FRISCH, U., ORSZAG, S. (2008).  Robert Harry Kraichnan.  Physics Today.  61(5).  70-71.
  • EYINK, G. (2008).  Turbulent Flow in Pipes and Channels as Cross-Stream.  Phys. Fluids.  20.  125101.
  • 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.
  • Chevillard, L., Li, Y., Eyink, G., Meneveau, C. (2007).  Matrix Exponential-Based Closures for the Turbulent Stress Tensor.  arXiv preprint arXiv:0704.3781.
  • EYINK, G. (2007).  Turbulent Diffusion of Lines and Circulations.  Physics Letters A.  368(6).  486-490.
  • EYINK, G. (2006).  A Turbulent Constitutive Law for the Two-Dimensional Inverse Energy Cascade.  J. Fluid Mech.  549.  191-214.
  • EYINK, G., KIM, S. (2006).  An Entropy-Based Particle Filtering Method.  J. Stat. Phys..  123.  1071-1128.
  • EYINK, G. (2006).  Cascade of Circulations in Fluid Turbulence.  Phys. Rev. E.  74.  066302.
  • CHEN, S., EYINK, G., XIAO, Z., WAN, M. (2006).  Is the Kelvin Theorem Valid for High-Reynolds-Number Turbulence?.  Phys. Rev. Lett..  97.  144505.
  • EYINK, G. (2006).  Multiscale Gradient Expansion of the Turbulent Stress Tensor.  J. Fluid Mech..  549.  159-190.
  • Eyink, G., Sreenivasan, K. R. (2006).  Onsager and the Theory of Hydrodynamic Turbulence.  Rev. Mod. Phys..  78.  87-135.
  • 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.
  • 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.
  • CHEN, S., ECKE, R., RIVERA, M., XIAO, Z., WAN, M. (2006).  The Physical Mechanism of the Two-Dimensional Inverse Energy.  Phys. Rev. Lett..  96.  084502.
  • EYINK, G. (2006).  Turbulent Cascade of Circulations.  Les Comptes Rendus de Physique.  7.  449-455.
  • ALEXANDER, F., EYINK, G., RESTREPO, J. (2005).  Accelerated Monte Carlo for Optimal Estimation of Time Series.  J. Stat. Phys..  119.  1331-1345.
  • EYINK, G. (2005).  Locality of Turbulent Cascades.  Physica D.  207.  91-116.
  • CHEN, Q., CHEN, S., EYINK, G., HOLM, D. (2005).  Resonant Interactions in Rotating Homogeneous Three-dimensional Turbulence.  J. Fluid Mech..  542.  139-164.
  • EYINK, G. (2005).  Statistical Hydrodynamics of the Thermohaline Circulation in a Two-Dimensional Model.  Tellus A.  57.  100-115.
  • EYINK, G., RESTREPO, J., ALEXANDER, F. (2004).  A Mean-Field Approximation in Data Assimilation for Nonlinear Dynamics.  Physica D.  195.  347-368.
  • EYINK, G., HAINE, T., LEA, D. (2004).  Ruelles Linear Response Formula, Ensemble Adjoint Schemes, and L.  Nonlinearity.  17.  1867-1889.
  • KIM, S., EYINK, G., RESTREPO, J., ALEXANDER, F., JOHNSON, G. (2003).  Ensemble Filtering for Nonlinear Dynamics.  Mon. Weather Rev..  131.  2586-2594.
  • EYINK, G., CHEN, S., CHEN, Q. (2003).  Gibbsian Hypothesis in Turbulence.  J. Stat. Phys..  113.  719-740.
  • CHEN, Q., CHEN, S., EYINK, G., HOLM, D. (2003).  Intermittency in the Joint Cascade of Energy and Helicity.  Phys. Rev. Lett..  90.  214503.
  • CHEN, Q., CHEN, S., EYINK, G., SREEENIVASAN, K. (2003).  Kolmogorovs Third Hypothesis and Turbulent Sign Statistics.  Phys. Rev. Lett..  90.  254501.
  • EYINK, G. (2003).  Local 4/5-Law and Energy Dissipation Anomaly in Turbulence.  Nonlinearity.  16.  137-145.
  • CHEN, S., ECKE, R., EYINK, G., WANG, X., XIAO, Z. (2003).  Physical Mechanism of the Two-Dimensional Enstrophy Cascade.  Phys. Rev. Lett..  91.  214501.
  • TAYLOR, M., KURIEN, S., EYINK, G. (2003).  Recovering Isotropic Statistics in Turbulence Simulations: The Kolmogorov 4/5th Law.  Phys. Rev. E.  68.  026310.
  • CHEN, Q., CHEN, S., EYINK, G. (2003).  The Joint Cascade of Energy and Helicity in Three-Dimensional Turbulence.  Phys. Fluids.  15.  361-374.
  • EYINK, G., XIN, J. (2002).  Statistical Analysis of a Semilinear Hyperbolic System Advected by a White in Time Random Velocity Field.  Nonlinearity.  15.  551-563.
  • EYINK, G. (2001).  Dissipation in Turbulent Solutions of 2-D Euler.  Nonlinearity.  14.  787-802.
  • CHAVES, M., EYINK, G., FRISCH, U., VERGASSOLA, M. (2001).  Universal Decay of Scalar Turbulence.  Phys. Rev. Lett..  86.  2503-2508.
  • EYINK, G. (2000).  Fluctuation-Response Relations for Multi-Time Correlations.  Phys. Rev. E.  62.  210-220.
  • EYINK, G., THOMSON, D. (2000).  Free Decay of Turbulence and Breakdown of Self-Similarity.  Phys. Fluids.  12.  477-479.
  • EYINK, G., RESTREPO, J. (2000).  Optimal Histories for Nonlinear Stochastic Dynamics: An Application to Climate Change.  J. Stat. Phys..  101.  459-472.
  • EYINK, G., XIN, J. (2000).  Self-Similar Decay in the Kraichnan Model of a Passive Scalar.  J. Stat. Phys..  100.  679-741.
  • EYINK, G., SPOHN, H. (2000).  Space-Time Invariant States of the Ideal Gas With Finite Number, Energy, and Entropy Density.  Amer. Math. Soc. Transl..  198.  71-89.
  • EYINK, G. (1998).  Linear Stochastic Models of Nonlinear Dynamical Systems.  Phys. Rev. E.  58.  6975-6991.
  • EYINK, G., ALEXANDER, F. (1998).  Predictive Turbulence Modelling by Variational Closure.  J. Stat. Phys..  91.  221-283.
  • ALEXANDER, F., EYINK, G. (1998).  Shape-dependent Thermodynamics and Non-Local Hydrodynamics in a Non-Gibbsian Steady-State of a Driven Diffusive System.  Phys. Rev. E.  57.  6229-6232.
  • EYINK, G. (1997).  Fluctuations in the Irreversible Decay of Turbulent Energy.  Phys. Rev. E.  56.  5413-5422.
  • ALEXANDER, F., EYINK, G. (1997).  Rayleigh-Ritz Calculation of Effective Potential Far From Equilibrium.  Phys. Rev. Lett..  78.  1-4.
  • EYINK, G., ALEXANDER, F. (1997).  Turbulence Fluctuations and New, Universal Realizability Conditions in Modelling.  Phys. Rev. Lett..  78.  2563-2566.
  • EYINK, G. (1996).  Action Principle in Nonequilibrium Statistical Dynamics.  Phys. Rev. E.  54.  3419-3435.
  • EYINK, G., XIN, J. (1996).  Dissipation-Independence of the Inertial-Convective Range in a Passive Scalar Model.  Phys. Rev. Lett..  77.  2674-2677.
  • EYINK, G. (1996).  Exact Results on Stationary Turbulence in 2D: Consequences of Vorticity Conservation.  Physica D.  91.  97-142.
  • EYINK, G., LEBOWITZ, J., SPOHN, H. (1996).  Hydrodynamics and Fluctuations Outside of Local Equilibrium: Driven Diffusive Systems.  J. Stat. Phys..  83.  385-472.
  • EYINK, G. (1996).  Intermittency and Anomalous Scaling of Passive Scalars in Any Space Dimension.  Phys. Rev. E.  54.  1497-1503.
  • EYINK, G. (1996).  Turbulence Noise.  J. Stat. Phys..  83.  955-1019.
  • EYINK, G. (1995).  Besov Spaces and the Multifractal Hypothesis.  J. Stat. Phys..  78.  353-375.
  • EYINK, G. (1995).  Exact Results on Scaling Exponents in the 2D Enstrophy Cascade.  Phys. Rev. Lett..  74.  3800-3803.
  • EYINK, G. (1995).  Local Energy Flux and the Refined Similarity Hypothesis.  J. Stat. Phys..  78.  335-351.
  • EYINK, G. (1995).  Multifractals and Lagrangian Field Theory.  Chaos, Solitons and Fractals.  5.  1465-1473.
  • EYINK, G., GOLDENFELD, N. (1994).  Analogies Between Scaling in Turbulence, Field Theory, and Critical Phenomena.  Phys. Rev. E.  50.  4679-4683.
  • EYINK, G. (1994).  Energy Dissipation withouth Viscosity in Ideal Hydrodynamics, I. Fourier Analysis and Local Energy Transfer.  Physica D.  78.  222-240.
  • EYINK, G. (1994).  Large-N Limit of the Spherical Model of Turbulence.  Phys. Rev. E.  49.  3990-4002.
  • EYINK, G. (1994).  The Renormalization Group Method in Statistical Hydrodynamics.  Phys. Fluids A..  6.  3063-3078.
  • CHERNOV, N., EYINK, G., LEBOWITZ, J., SINAI, Y. G. (1993).  Derivation of Ohms Law in a Deterministic Mechanical Model.  Phys. Rev. Lett..  70.  2209-2212.
  • EYINK, G. (1993).  Lagrangian Field Theory, Multifractals, and Universal Scaling in Turbulence.  Phys. Lett..  172A.  355-360.
  • EYINK, G., SPOHN, H. (1993).  Negative Temperature States and Large-Scale, Long-Lived Vortices in Two-Dimensional Turbulence.  J. Stat. Phys..  70.  833-886.
  • EYINK, G. (1993).  Renormalization Group and Operator Product Expansion in Turbulence: Shell Models.  Phys. Rev. E.  48.  1823-1838.
  • CHERNOV, N., EYINK, G., LEBOWITZ, J., SINAI, Y. G. (1993).  Steady-State Electrical Conduction in the Periodic Lorentz Gas.  Commun. Math. Phys..  154.  569-601.
  • EYINK, G., LEBOWITZ, J., SPOHN, H. (1991).  Lattice Gas Models in Contact with Stochastic Reservoirs: Local Equilibrium and Relaxation to the Steady State.  Commun. Math. Phys..  140.  119-131.
  • EYINK, G. (1990).  Dissipation and Large Thermodynamic Fluctuations.  J. Stat. Phys..  61.  533-572.
  • EYINK, G., LEBOWITZ, J., SPOHN, H. (1990).  Hydrodynamics of Stationary Nonequilibrium States for Some Stochastic Lattice Gas Models.  Commun. Math. Phys..  132.  253-283.
  • EYINK, G. (1989).  Quantum Field-Theory on Fractal Spacetime I: Introduction and Overview.  Commun. Math. Phys..  125.  613-636.
  • EYINK, G. (1989).  Quantum Field-Theory on Fractal Spacetime II: Hierarchical Propagators.  Commun. Math. Phys..  126.  85-101.
Book Chapters
  • Eyink, G., Frisch, U. (2011).  Robert H. Kraichnan.  A Voyage Through Turbulence.  Cambridge University Press.  329-372.
Other Publications
  • Chen, S., Eyink, G., Lathrop, D. P., Meneveau, C. (2010).  At the boundaries of nonlinear physics, fluid mechanics and turbulence: where do we stand? Special issue in celebration of the 60th birthday of KR Sreenivasan Preface.  ELSEVIER SCIENCE BV PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS.
Conference Proceedings
  • Lazarian, A., Eyink, G., Vishniac, E., Kowal, G. (2015).  Magnetic Reconnection in Astrophysical Environments.  Astrophysics and Space Science Library.  407.  311.
  • 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.
  • Lalescu, C., Meneveau, C., Eyink, G. (2013).  Chaos Synchronization in Navier-Stokes Turbulence.  APS Meeting Abstracts.  1.  39009.
  • 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.
  • 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.
  • Vishniac, E. T., 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.
  • 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.
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