skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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:
; ;
Publication Date:
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.
Haehl, Felix M., Loganayagam, R., & Rangamani, Mukund. Inflow Mechanism for Hydrodynamic Entropy. United States. doi:10.1103/PhysRevLett.121.051602.
Haehl, Felix M., Loganayagam, R., and Rangamani, Mukund. Fri . "Inflow Mechanism for Hydrodynamic Entropy". United States. doi:10.1103/PhysRevLett.121.051602.
@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 = {2018},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevLett.121.051602

Citation Metrics:
Cited by: 4 works
Citation information provided by
Web of Science

Figures / Tables:

Figure 1 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 $g_{{\mu}{\mathcal{v}}},g_{{\Theta}{\bar{\Theta}}} =more » -g_{{\bar{\Theta}{\Theta}}} = i$, pulls back to the world volume metric g̊IJ . The target space Grassmann coordinates are gauge fixed to be aligned with the world volume ones, $\Theta = \theta$, $\bar{\Theta} = \bar{\theta}$.« less

Save / Share:

Works referenced in this record:

Equilibrium and nonequilibrium formalisms made unified
journal, February 1985


Topological sigma models & dissipative hydrodynamics
journal, April 2016

  • Haehl, Felix M.; Loganayagam, R.; Rangamani, Mukund
  • Journal of High Energy Physics, Vol. 2016, Issue 4
  • DOI: 10.1007/JHEP04(2016)039

Local fluid dynamical entropy from gravity
journal, June 2008

  • Bhattacharyya, Sayantani; Hubeny, Veronika E.; Loganayagam, R.
  • Journal of High Energy Physics, Vol. 2008, Issue 06
  • DOI: 10.1088/1126-6708/2008/06/055

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

  • Haehl, Felix M.; Loganayagam, R.; Rangamani, Mukund
  • Journal of High Energy Physics, Vol. 2017, Issue 6
  • DOI: 10.1007/JHEP06(2017)069

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

  • Banerjee, Nabamita; Bhattacharya, Jyotirmoy; Bhattacharyya, Sayantani
  • Journal of High Energy Physics, Vol. 2012, Issue 9
  • DOI: 10.1007/JHEP09(2012)046

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

  • Mallick, Kirone; Moshe, Moshe; Orland, Henri
  • Journal of Physics A: Mathematical and Theoretical, Vol. 44, Issue 9
  • DOI: 10.1088/1751-8113/44/9/095002

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

  • Crossley, Michael; Glorioso, Paolo; Liu, Hong
  • Journal of High Energy Physics, Vol. 2017, Issue 9
  • DOI: 10.1007/JHEP09(2017)095

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

  • Glorioso, Paolo; Crossley, Michael; Liu, Hong
  • Journal of High Energy Physics, Vol. 2017, Issue 9
  • DOI: 10.1007/JHEP09(2017)096

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

  • Haehl, Felix M.; Loganayagam, R.; Rangamani, Mukund
  • Journal of High Energy Physics, Vol. 2016, Issue 1
  • DOI: 10.1007/JHEP01(2016)184

Eightfold Classification of Hydrodynamic Dissipation
journal, May 2015


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


Schwinger-Keldysh formalism. Part II: thermal equivariant cohomology
journal, June 2017

  • Haehl, Felix M.; Loganayagam, R.; Rangamani, Mukund
  • Journal of High Energy Physics, Vol. 2017, Issue 6
  • DOI: 10.1007/JHEP06(2017)070

Nonequilibrium Equality for Free Energy Differences
journal, April 1997


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

  • Haehl, Felix M.; Loganayagam, R.; Narayan, Prithvi
  • Journal of High Energy Physics, Vol. 2017, Issue 12
  • DOI: 10.1007/JHEP12(2017)154

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
journal, August 2012


Supersymmetric field theories and stochastic differential equations
journal, October 1982


Brownian Motion of a Quantum Oscillator
journal, May 1961

  • Schwinger, Julian
  • Journal of Mathematical Physics, Vol. 2, Issue 3
  • DOI: 10.1063/1.1703727

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

  • Haehl, Felix M.; Loganayagam, R.; Rangamani, Mukund
  • Journal of High Energy Physics, Vol. 2015, Issue 5
  • DOI: 10.1007/JHEP05(2015)060

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


Deconstructing holographic liquids
journal, July 2011


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


Schwinger-Keldysh superspace in quantum mechanics
journal, May 2018


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

  • Kovtun, Pavel; Moore, Guy D.; Romatschke, Paul
  • Journal of High Energy Physics, Vol. 2014, Issue 7
  • DOI: 10.1007/JHEP07(2014)123

Effective actions for anomalous hydrodynamics
journal, March 2014

  • Haehl, Felix M.; Loganayagam, R.; Rangamani, Mukund
  • Journal of High Energy Physics, Vol. 2014, Issue 3
  • DOI: 10.1007/JHEP03(2014)034

    Figures / Tables found in this record:

      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.