Entropy current and equilibrium partition function in fluid dynamics

Abstract

Existence of an entropy current with non-negative divergence puts a lot of constraints on the transport coefficients of a fluid, so does the existence of equilibrium. In all the cases we have studied so far we have seen an overlap between these two sets of constraints. In this note we shall try to explore the reason for such an overlap. We shall also see how a part of the entropy current could be determined from the equilibrium partition function.

39 pages, Version-2: Added a new section and some more arguments in the old sections, added new references and corrected typos. 45 pages Version 3: 50 pages, introduction has been modified, added a new section, added references

References in corpus (6)

• Anomaly inflow and thermal equilibrium
• Chern-Simons terms from thermal circles and anomalies
• Kubo Formulae for Second-Order Hydrodynamic Coefficients
• Towards an effective action for relativistic dissipative hydrodynamics
• Thermodynamical second-order hydrodynamic coefficients
• Entropy Current from Partition Function: One Example

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