Theory of Diffusive Fluctuations

Chen-Lin, Xinyi; Delacrétaz, Luca V.; Hartnoll, Sean A.

doi:10.1103/PhysRevLett.122.091602

Title: Theory of Diffusive Fluctuations

Abstract

The recently developed effective field theory of fluctuations around thermal equilibrium is used to compute late-time correlation functions of conserved densities. Specializing to systems with a single conservation law, we find that the diffusive pole is shifted in the presence of nonlinear hydrodynamic self-interactions, and that the density-density Green’s function acquires a branch point halfway to the diffusive pole, at frequency ω = –(i/2)Dk². We discuss the relevance of diffusive fluctuations for strongly correlated transport in condensed matter and cold atomic systems.

Authors:: Chen-Lin, Xinyi; Delacrétaz, Luca V.; Hartnoll, Sean A.

Publication Date:: Wed Mar 06 00:00:00 EST 2019

Research Org.:: Stanford Univ., CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1498178

Alternate Identifier(s):: OSTI ID: 1612851

Grant/Contract Number:: SC0018134

Resource Type:: Published Article

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Name: Physical Review Letters Journal Volume: 122 Journal Issue: 9; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics; Effective field theory; Quantum field theory (low energy); Stochastic processes; Hydrodynamics

Citation Formats


                    Chen-Lin, Xinyi, Delacrétaz, Luca V., and Hartnoll, Sean A. Theory of Diffusive Fluctuations.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevLett.122.091602.

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                    Chen-Lin, Xinyi, Delacrétaz, Luca V., & Hartnoll, Sean A. Theory of Diffusive Fluctuations.  United States.  https://doi.org/10.1103/PhysRevLett.122.091602

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                    Chen-Lin, Xinyi, Delacrétaz, Luca V., and Hartnoll, Sean A. Wed .  
"Theory of Diffusive Fluctuations".  United States.  https://doi.org/10.1103/PhysRevLett.122.091602.

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@article{osti_1498178,

  title        = {Theory of Diffusive Fluctuations},

  author       = {Chen-Lin, Xinyi and Delacrétaz, Luca V. and Hartnoll, Sean A.},

  abstractNote = {The recently developed effective field theory of fluctuations around thermal equilibrium is used to compute late-time correlation functions of conserved densities. Specializing to systems with a single conservation law, we find that the diffusive pole is shifted in the presence of nonlinear hydrodynamic self-interactions, and that the density-density Green’s function acquires a branch point halfway to the diffusive pole, at frequency ω = –(i/2)Dk2. We discuss the relevance of diffusive fluctuations for strongly correlated transport in condensed matter and cold atomic systems.},

  doi          = {10.1103/PhysRevLett.122.091602},

  journal      = {Physical Review Letters},

  number       = 9,

  volume       = 122,

  place        = {United States},

  year         = {Wed Mar 06 00:00:00 EST 2019},

  month        = {Wed Mar 06 00:00:00 EST 2019}

}

Copy to clipboard

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Similar Records

Title: Theory of Diffusive Fluctuations

Abstract

Citation Formats

Theory of dynamic critical phenomena journal, July 1977

Dissipation in the effective field theory for hydrodynamics: First-order effects journal, November 2013

Universality of the Mott–Ioffe–Regel limit in metals journal, September 2004

A quantum hydrodynamical description for scrambling and many-body chaos journal, October 2018

Thermalization, viscosity and the averaged null energy condition journal, October 2018

Thermal Transport and Phonon Hydrodynamics in Strontium Titanate journal, March 2018

Emergent entropy production and hydrodynamics in quantum many-body systems journal, February 2019

The nonexistence of the linear diffusion equation beyond Fick's law journal, July 1974

Statistical Dynamics of Classical Systems journal, July 1973

Viscosity and dissipative hydrodynamics from effective field theory journal, May 2015

Fermionic transport and out-of-equilibrium dynamics in a homogeneous Hubbard model with ultracold atoms journal, January 2012

Effective field theory of dissipative fluids journal, September 2017

Dissipative hydrodynamics in superspace journal, September 2018

Lectures on non-equilibrium effective field theories and fluctuating hydrodynamics conference, September 2018

Thermal conductivity of insulating Bi 2 Sr 2 YCu 2 O 8 and superconducting Bi 2 Sr 2 CaCu 2 O 8 : Failure of the phonon-gas picture journal, April 1994

Colloquium : Saturation of electrical resistivity journal, October 2003

Bad metallic transport in a cold atom Fermi-Hubbard system journal, December 2018

Principles of Condensed Matter Physics book, January 1995

Statistical theory of transport by strongly interacting lattice fermions journal, January 2006

Effective field theory for hydrodynamics: Thermodynamics, and the derivative expansion journal, April 2012

Superconductivity in Bad Metals journal, April 1995

Lectures on hydrodynamic fluctuations in relativistic theories journal, November 2012

Time dependent correlation functions and mode-mode coupling theories journal, June 1975

Hydrodynamic fluctuations, long-time tails, and supersymmetry journal, July 2003

Theory of the supercyclotron resonance and Hall response in anomalous two-dimensional metals journal, June 2018

The Thermal Conductivity of Nonmetallic Crystals book, January 1979

Stickiness of sound: An absolute lower limit on viscosity and the breakdown of second-order relativistic hydrodynamics journal, July 2011

Anomalous thermal diffusivity in underdoped YBa 2 Cu 3 O 6+x journal, May 2017

Adiabatic hydrodynamics: the eightfold way to dissipation journal, May 2015

Thermal diffusivity of oxide perovskite compounds at elevated temperature journal, May 2010

Hydrodynamics with parametric slowing down and fluctuations near the critical point journal, August 2018

Dynamic Scaling of Growing Interfaces journal, March 1986

A panoply of Schwinger-Keldysh transport journal, January 2018

Generalized fluctuation-dissipation theorem for nonlinear response functions journal, July 2002

Fluctuation bounds on charge and heat diffusion journal, June 2015

Theory of dynamic critical phenomena
journal, July 1977

Dissipation in the effective field theory for hydrodynamics: First-order effects
journal, November 2013

Universality of the Mott–Ioffe–Regel limit in metals
journal, September 2004

A quantum hydrodynamical description for scrambling and many-body chaos
journal, October 2018

Thermalization, viscosity and the averaged null energy condition
journal, October 2018

Thermal Transport and Phonon Hydrodynamics in Strontium Titanate
journal, March 2018

Emergent entropy production and hydrodynamics in quantum many-body systems
journal, February 2019

The nonexistence of the linear diffusion equation beyond Fick's law
journal, July 1974

Statistical Dynamics of Classical Systems
journal, July 1973

Viscosity and dissipative hydrodynamics from effective field theory
journal, May 2015

Fermionic transport and out-of-equilibrium dynamics in a homogeneous Hubbard model with ultracold atoms
journal, January 2012

Effective field theory of dissipative fluids
journal, September 2017

Dissipative hydrodynamics in superspace
journal, September 2018

Lectures on non-equilibrium effective field theories and fluctuating hydrodynamics
conference, September 2018

Thermal conductivity of insulating ${Bi}_{2}$ ${Sr}_{2}$ ${YCu}_{2}$ $O_{8}$ and superconducting ${Bi}_{2}$ ${Sr}_{2}$ ${CaCu}_{2}$ $O_{8}$ : Failure of the phonon-gas picture
journal, April 1994

Colloquium : Saturation of electrical resistivity
journal, October 2003

Bad metallic transport in a cold atom Fermi-Hubbard system
journal, December 2018

Principles of Condensed Matter Physics
book, January 1995

Statistical theory of transport by strongly interacting lattice fermions
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Effective field theory for hydrodynamics: Thermodynamics, and the derivative expansion
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Superconductivity in Bad Metals
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Lectures on hydrodynamic fluctuations in relativistic theories
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Time dependent correlation functions and mode-mode coupling theories
journal, June 1975

Hydrodynamic fluctuations, long-time tails, and supersymmetry
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Theory of the supercyclotron resonance and Hall response in anomalous two-dimensional metals
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The Thermal Conductivity of Nonmetallic Crystals
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Hydrodynamics with parametric slowing down and fluctuations near the critical point
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Dynamic Scaling of Growing Interfaces
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