# 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}

}

Free Publicly Available Full Text

Publisher's Version of Record

DOI: 10.1103/PhysRevLett.121.051602

DOI: 10.1103/PhysRevLett.121.051602

Other availability

Cited by: 4 works

*Citation information provided by*

Web of Science

Web of Science

#### Figures / Tables:

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 »

All figures and tables
(1 total)

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

##
Equilibrium and nonequilibrium formalisms made unified

journal, February 1985

- Chou, Kuang-chao; Su, Zhao-bin; Hao, Bai-lin
- Physics Reports, Vol. 118, Issue 1-2

##
Topological sigma models & dissipative hydrodynamics

journal, April 2016

- Haehl, Felix M.; Loganayagam, R.; Rangamani, Mukund
- Journal of High Energy Physics, Vol. 2016, Issue 4

##
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

##
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

##
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

##
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

##
Anomalies and fermion zero modes on strings and domain walls

journal, January 1985

- Callan, C. G.; Harvey, J. A.
- Nuclear Physics B, Vol. 250, Issue 1-4

##
Statistical Dynamics of Classical Systems

journal, July 1973

- Martin, P. C.; Siggia, E. D.; Rose, H. A.
- Physical Review A, Vol. 8, Issue 1

##
Effective field theory of dissipative fluids

journal, September 2017

- Crossley, Michael; Glorioso, Paolo; Liu, Hong
- Journal of High Energy Physics, Vol. 2017, Issue 9

##
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

##
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

##
Eightfold Classification of Hydrodynamic Dissipation

journal, May 2015

- Haehl, Felix M.; Loganayagam, R.; Rangamani, Mukund
- Physical Review Letters, Vol. 114, Issue 20

##
Theory of Many-Particle Systems. I

journal, September 1959

- Martin, Paul C.; Schwinger, Julian
- Physical Review, Vol. 115, Issue 6

##
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

##
Nonequilibrium Equality for Free Energy Differences

journal, April 1997

- Jarzynski, C.
- Physical Review Letters, Vol. 78, Issue 14

##
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

##
Entropy current from partition function: one example

journal, July 2014

- Bhattacharyya, Sayantani
- Journal of High Energy Physics, Vol. 2014, Issue 7

##
Equilibrium free-energy differences from nonequilibrium measurements: A master-equation approach

journal, November 1997

- Jarzynski, C.
- Physical Review E, Vol. 56, Issue 5

##
Fluctuation relations for equilibrium states with broken discrete symmetries

journal, August 2012

- Gaspard, Pierre
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2012, Issue 08

##
Supersymmetric field theories and stochastic differential equations

journal, October 1982

- Parisi, G.; Sourlas, N.
- Nuclear Physics B, Vol. 206, Issue 2

##
Brownian Motion of a Quantum Oscillator

journal, May 1961

- Schwinger, Julian
- Journal of Mathematical Physics, Vol. 2, Issue 3

##
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

##
The theory of a general quantum system interacting with a linear dissipative system

journal, October 1963

- Feynman, R. P.; Vernon, F. L.
- Annals of Physics, Vol. 24

##
Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems

journal, June 1957

- Kubo, Ryogo
- Journal of the Physical Society of Japan, Vol. 12, Issue 6

##
Deconstructing holographic liquids

journal, July 2011

- Nickel, Dominik; Son, Dam T.
- New Journal of Physics, Vol. 13, Issue 7

##
Emergent supersymmetry in local equilibrium systems

journal, January 2018

- Gao, Ping; Liu, Hong
- Journal of High Energy Physics, Vol. 2018, Issue 1

##
Towards Hydrodynamics without an Entropy Current

journal, September 2012

- Jensen, Kristan; Kaminski, Matthias; Kovtun, Pavel
- Physical Review Letters, Vol. 109, Issue 10

##
Some properties of the Noether charge and a proposal for dynamical black hole entropy

journal, July 1994

- Iyer, Vivek; Wald, Robert M.
- Physical Review D, Vol. 50, Issue 2

##
Schwinger-Keldysh superspace in quantum mechanics

journal, May 2018

- Geracie, Michael; Haehl, Felix M.; Loganayagam, R.
- Physical Review D, Vol. 97, Issue 10

##
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

##
Effective actions for anomalous hydrodynamics

journal, March 2014

- Haehl, Felix M.; Loganayagam, R.; Rangamani, Mukund
- Journal of High Energy Physics, Vol. 2014, Issue 3

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