Built on

K. Behnia and A. Kapitulnik, A lower bound to the thermal diffusivity of insulators, Journal of Physics: Condensed Matter 31
Original
1905
Earlier work this paper cites.
B. Chakrabarty, J. Chakravarty, S. Chaudhuri, C. Jana, R. Loganayagam and A. Sivakumar, Nonlinear Langevin dynamics via holography, JHEP 01
Original
1906
Earlier work this paper cites.
L. P. Kadanoff and P. C. Martin, Hydrodynamic equations and correlation functions, Annals of Physics 24
1963
Earlier work this paper cites.
G. Efremov, A fluctuation dissipation theorem for nonlinear media, Sov. Phys. JETP 28
1969
Earlier work this paper cites.
P. C. Martin, E. D. Siggia and H. A. Rose, Statistical Dynamics of Classical Systems, Phys. Rev. A 8
1973
Earlier work this paper cites.
D. Forster, D. R. Nelson and M. J. Stephen, Large-distance and long-time properties of a randomly stirred fluid, Phys. Rev. A 16
1977
Earlier work this paper cites.
S. Katz, J. L. Lebowitz and H. Spohn, Nonequilibrium steady states of stochastic lattice gas models of fast ionic conductors, Journal of statistical physics 34
1984
Earlier work this paper cites.
Cambridge university press, 1995
S. Weinberg, The quantum theory of fields , vol. 2 · 1995
Earlier work this paper cites.
J. S. Hager, J. Krug, V. Popkov and G. M. Schütz, Minimal current phase and universal boundary layers in driven diffusive systems, Phys. Rev. E 63
2001
Earlier work this paper cites.
E. Wang and U. W. Heinz, A Generalized fluctuation dissipation theorem for nonlinear response functions, Phys. Rev. D 66
2002
Earlier work this paper cites.
A. Gromov, A. Lucas and R. M. Nandkishore, Fracton hydrodynamics, Phys. Rev. Res. 2
Original
2003
Earlier work this paper cites.
L. V. Delacretaz, Heavy Operators and Hydrodynamic Tails, SciPost Phys. 9
Original
2006
Earlier work this paper cites.
S. Mukerjee, V. Oganesyan and D. Huse, Statistical theory of transport by strongly interacting lattice fermions, Phys. Rev. B 73
2006
Earlier work this paper cites.
P. Glorioso, L. V. Delacrétaz, X. Chen, R. M. Nandkishore and A. Lucas, Hydrodynamics in lattice models with continuous non-Abelian symmetries, SciPost Phys. 10
Original
2007
Earlier work this paper cites.
A. Jain and P. Kovtun, Late Time Correlations in Hydrodynamics: Beyond Constitutive Relations, Phys. Rev. Lett. 128
Original
2009
Earlier work this paper cites.

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2023

Nonlinear Response in Diffusive Systems

Delacretaz, Luca V., Mishra, Ruchira

Understand

Nonintegrable systems thermalize, leading to the emergence of fluctuating hydrodynamics.

Typically, this hydrodynamics is diffusive.
We use the effective field theory (EFT) of diffusion to compute higher-point functions of conserved densities.
We uncover a simple scaling behavior of correlators at late times, and, focusing on three and four-point functions, derive the asymptotically exact universal scaling functions that characterize nonlinear response in diffusive systems.

Built on

K. Behnia and A. Kapitulnik, A lower bound to the thermal diffusivity of insulators, Journal of Physics: Condensed Matter 31
Original
1905
Earlier work this paper cites.
B. Chakrabarty, J. Chakravarty, S. Chaudhuri, C. Jana, R. Loganayagam and A. Sivakumar, Nonlinear Langevin dynamics via holography, JHEP 01
Original
1906
Earlier work this paper cites.
L. P. Kadanoff and P. C. Martin, Hydrodynamic equations and correlation functions, Annals of Physics 24
1963
Earlier work this paper cites.
G. Efremov, A fluctuation dissipation theorem for nonlinear media, Sov. Phys. JETP 28
1969
Earlier work this paper cites.
P. C. Martin, E. D. Siggia and H. A. Rose, Statistical Dynamics of Classical Systems, Phys. Rev. A 8
1973
Earlier work this paper cites.
D. Forster, D. R. Nelson and M. J. Stephen, Large-distance and long-time properties of a randomly stirred fluid, Phys. Rev. A 16
1977
Earlier work this paper cites.
S. Katz, J. L. Lebowitz and H. Spohn, Nonequilibrium steady states of stochastic lattice gas models of fast ionic conductors, Journal of statistical physics 34
1984
Earlier work this paper cites.
Cambridge university press, 1995
S. Weinberg, The quantum theory of fields , vol. 2 · 1995
Earlier work this paper cites.
J. S. Hager, J. Krug, V. Popkov and G. M. Schütz, Minimal current phase and universal boundary layers in driven diffusive systems, Phys. Rev. E 63
2001
Earlier work this paper cites.
E. Wang and U. W. Heinz, A Generalized fluctuation dissipation theorem for nonlinear response functions, Phys. Rev. D 66
2002
Earlier work this paper cites.
A. Gromov, A. Lucas and R. M. Nandkishore, Fracton hydrodynamics, Phys. Rev. Res. 2
Original
2003
Earlier work this paper cites.
L. V. Delacretaz, Heavy Operators and Hydrodynamic Tails, SciPost Phys. 9
Original
2006
Earlier work this paper cites.
S. Mukerjee, V. Oganesyan and D. Huse, Statistical theory of transport by strongly interacting lattice fermions, Phys. Rev. B 73
2006
Earlier work this paper cites.
P. Glorioso, L. V. Delacrétaz, X. Chen, R. M. Nandkishore and A. Lucas, Hydrodynamics in lattice models with continuous non-Abelian symmetries, SciPost Phys. 10
Original
2007
Earlier work this paper cites.
A. Jain and P. Kovtun, Late Time Correlations in Hydrodynamics: Beyond Constitutive Relations, Phys. Rev. Lett. 128
Original
2009
Earlier work this paper cites.

Similar

M. A. Stephanov, Non-Gaussian fluctuations near the QCD critical point, Phys. Rev. Lett. 102
Original
2009
Cited alongside, same era.
D. Fausti, R. I. Tobey, N. Dean, S. Kaiser, A. Dienst, M. C. Hoffmann, S. Pyon, T. Takayama, H. Takagi and A. Cavalleri, Light-induced superconductivity in a stripe-ordered cuprate, Science 331
2011
Cited alongside, same era.
J. Orenstein, Quantum materials, Physics Today 65
2012
Cited alongside, same era.
Springer Science & Business Media, 2012
H. Spohn, Large scale dynamics of interacting particles · 2012
Cited alongside, same era.
Elsevier, 2013
L. D. Landau and E. M. Lifshitz, Fluid Mechanics: Landau and Lifshitz: Course of Theoretical Physics, Volume 6 , vol. 6 · 2013
Cited alongside, same era.
S. A. Hartnoll, Theory of universal incoherent metallic transport, Nature Phys. 11