Inflow Mechanism for Hydrodynamic Entropy

Haehl, Felix M.; Loganayagam, R.; Rangamani, Mukund

doi:10.1103/PhysRevLett.121.051602

Title: Inflow Mechanism for Hydrodynamic Entropy

Abstract

We argue that entropy production in hydrodynamics can be understood via a superspace inflow mechanism. Our arguments are based on a recently developed formalism for constructing effective actions for Schwinger-Keldysh observables in quantum field theories. The formalism explicitly incorporates microscopic unitarity and the Kubo-Martin-Schwinger thermal periodicity conditions, by recasting them in terms of topological Becchi-Rouet-Stora-Tyutin symmetries of the effective action.

Authors:: Haehl, Felix M.; Loganayagam, R.; Rangamani, Mukund

Publication Date:: Fri Aug 03 00:00:00 EDT 2018

Research Org.:: Univ. of California, Davis, CA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1462777

Alternate Identifier(s):: OSTI ID: 1498979

Grant/Contract Number:: SC0009999

Resource Type:: Published Article

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Name: Physical Review Letters Journal Volume: 121 Journal Issue: 5; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 97 MATHEMATICS AND COMPUTING

Citation Formats


                    Haehl, Felix M., Loganayagam, R., and Rangamani, Mukund. Inflow Mechanism for Hydrodynamic Entropy.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevLett.121.051602.

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                    Haehl, Felix M., Loganayagam, R., & Rangamani, Mukund. Inflow Mechanism for Hydrodynamic Entropy.  United States.  https://doi.org/10.1103/PhysRevLett.121.051602

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                    Haehl, Felix M., Loganayagam, R., and Rangamani, Mukund. Fri .  
"Inflow Mechanism for Hydrodynamic Entropy".  United States.  https://doi.org/10.1103/PhysRevLett.121.051602.

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@article{osti_1462777,

  title        = {Inflow Mechanism for Hydrodynamic Entropy},

  author       = {Haehl, Felix M. and Loganayagam, R. and Rangamani, Mukund},

  abstractNote = {We argue that entropy production in hydrodynamics can be understood via a superspace inflow mechanism. Our arguments are based on a recently developed formalism for constructing effective actions for Schwinger-Keldysh observables in quantum field theories. The formalism explicitly incorporates microscopic unitarity and the Kubo-Martin-Schwinger thermal periodicity conditions, by recasting them in terms of topological Becchi-Rouet-Stora-Tyutin symmetries of the effective action.},

  doi          = {10.1103/PhysRevLett.121.051602},

  journal      = {Physical Review Letters},

  number       = 5,

  volume       = 121,

  place        = {United States},

  year         = {Fri Aug 03 00:00:00 EDT 2018},

  month        = {Fri Aug 03 00:00:00 EDT 2018}

}

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Figure 1: Illustration of the data for hydrodynamic sigma models. The physical d.o.f. are captured in the target space maps $\mathring{X}^\mu(\sigma^a,\theta,\bar{\theta})$ The world volume geometry is equipped with a rigid supervector field $\mathring{\beta}^I$ , which pushes forward to the physical thermal vector in spacetime, while the spacetime metric $g_{{\mu}{\mathcal{v}}},g_{{\Theta}{\bar{\Theta}}} =more »

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Works referencing / citing this record:

Effective action for relativistic hydrodynamics: fluctuations, dissipation, and entropy inflow
journal, October 2018

Haehl, Felix M.; Loganayagam, R.; Rangamani, Mukund
Journal of High Energy Physics, Vol. 2018, Issue 10
DOI: 10.1007/jhep10(2018)194

Extensivity, entropy current, area law, and Unruh effect
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Becattini, F.; Rindori, D.
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An entropy current in superspace
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Jensen, Kristan; Marjieh, Raja; Pinzani-Fokeeva, Natalia
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Similar Records

Title: Inflow Mechanism for Hydrodynamic Entropy

Abstract

Citation Formats

Figures / Tables:

Equilibrium and nonequilibrium formalisms made unified journal, February 1985

Topological sigma models & dissipative hydrodynamics journal, April 2016

Local fluid dynamical entropy from gravity journal, June 2008

Schwinger-Keldysh formalism. Part I: BRST symmetries and superspace journal, June 2017

Constraints on fluid dynamics from equilibrium partition functions journal, September 2012

A field-theoretic approach to non-equilibrium work identities journal, February 2011

Anomalies and fermion zero modes on strings and domain walls journal, January 1985

Statistical Dynamics of Classical Systems journal, July 1973

Effective field theory of dissipative fluids journal, September 2017

Effective field theory of dissipative fluids (II): classical limit, dynamical KMS symmetry and entropy current journal, September 2017

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Eightfold Classification of Hydrodynamic Dissipation journal, May 2015

Theory of Many-Particle Systems. I journal, September 1959

Thermal out-of-time-order correlators, KMS relations, and spectral functions journal, December 2017

Entropy current from partition function: one example journal, July 2014

Equilibrium free-energy differences from nonequilibrium measurements: A master-equation approach journal, November 1997

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Supersymmetric field theories and stochastic differential equations journal, October 1982

Brownian Motion of a Quantum Oscillator journal, May 1961

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

The theory of a general quantum system interacting with a linear dissipative system journal, October 1963

Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems journal, June 1957

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Emergent supersymmetry in local equilibrium systems journal, January 2018

Towards Hydrodynamics without an Entropy Current journal, September 2012

Some properties of the Noether charge and a proposal for dynamical black hole entropy journal, July 1994

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Towards an effective action for relativistic dissipative hydrodynamics journal, July 2014

Effective actions for anomalous hydrodynamics journal, March 2014

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Equilibrium and nonequilibrium formalisms made unified
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Topological sigma models & dissipative hydrodynamics
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Local fluid dynamical entropy from gravity
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Schwinger-Keldysh formalism. Part I: BRST symmetries and superspace
journal, June 2017

Constraints on fluid dynamics from equilibrium partition functions
journal, September 2012

A field-theoretic approach to non-equilibrium work identities
journal, February 2011

Anomalies and fermion zero modes on strings and domain walls
journal, January 1985

Statistical Dynamics of Classical Systems
journal, July 1973

Effective field theory of dissipative fluids
journal, September 2017

Effective field theory of dissipative fluids (II): classical limit, dynamical KMS symmetry and entropy current
journal, September 2017

The fluid manifesto: emergent symmetries, hydrodynamics, and black holes
journal, January 2016

Eightfold Classification of Hydrodynamic Dissipation
journal, May 2015

Theory of Many-Particle Systems. I
journal, September 1959

Thermal out-of-time-order correlators, KMS relations, and spectral functions
journal, December 2017

Entropy current from partition function: one example
journal, July 2014

Equilibrium free-energy differences from nonequilibrium measurements: A master-equation approach
journal, November 1997

Fluctuation relations for equilibrium states with broken discrete symmetries
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Supersymmetric field theories and stochastic differential equations
journal, October 1982

Brownian Motion of a Quantum Oscillator
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Adiabatic hydrodynamics: the eightfold way to dissipation
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The theory of a general quantum system interacting with a linear dissipative system
journal, October 1963

Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems
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Deconstructing holographic liquids
journal, July 2011

Emergent supersymmetry in local equilibrium systems
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Towards Hydrodynamics without an Entropy Current
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Some properties of the Noether charge and a proposal for dynamical black hole entropy
journal, July 1994

Schwinger-Keldysh superspace in quantum mechanics
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Towards an effective action for relativistic dissipative hydrodynamics
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