Equilibrium partition function for nonrelativistic fluids

Banerjee, Nabamita; Dutta, Suvankar; Jain, Akash

doi:10.1103/physrevd.92.081701

Equilibrium partition function for nonrelativistic fluids

Banerjee, Nabamita; Dutta, Suvankar; Jain, Akash

Authors

Nabamita Banerjee

Suvankar Dutta

Akash Jain

Abstract

We construct an equilibrium partition function for a nonrelativistic fluid and use it to constrain the dynamics of the system. The construction is based on light cone reduction, which is known to reduce the Poincaré symmetry to Galilean in one lower dimension. We modify the constitutive relations of a relativistic fluid, and find that its symmetry broken phase—“null fluid” is equivalent to the nonrelativistic fluid. In particular, their symmetries, thermodynamics, constitutive relations, and equilibrium partition function match exactly to all orders in derivative expansion.

Citation

Banerjee, N., Dutta, S., & Jain, A. (2015). Equilibrium partition function for nonrelativistic fluids. Physical Review D, 92(8), Article 081701. https://doi.org/10.1103/physrevd.92.081701

Journal Article Type	Article
Acceptance Date	Sep 25, 2015
Online Publication Date	Oct 20, 2015
Publication Date	Oct 20, 2015
Deposit Date	May 3, 2016
Publicly Available Date	Jun 21, 2016
Journal	Physical Review D
Print ISSN	2470-0010
Electronic ISSN	2470-0029
Publisher	American Physical Society
Peer Reviewed	Peer Reviewed
Volume	92
Issue	8
Article Number	081701
DOI	https://doi.org/10.1103/physrevd.92.081701
Related Public URLs	https://arxiv.org/abs/1505.05677

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