Equilibrium partition function for nonrelativistic fluids

Banerjee, Nabamita; Dutta, Suvankar; Jain, Akash

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
• Public URL: https://durham-repository.worktribe.com/output/1405739
• Related Public URLs: https://arxiv.org/abs/1505.05677