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2012

Non-dissipative hydrodynamics: Effective actions versus entropy current

Bhattacharya, Jyotirmoy, Bhattacharyya, Sayantani, Rangamani, Mukund

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While conventional hydrodynamics incorporating dissipative effects is hard to derive from an action principle, it is nevertheless possible to construct classical actions when the dissipative terms are switched off.

In this note we undertake a systematic exploration of such constructions from an effective field theory approach and argue for the existence of non-trivial second order non-dissipative hydrodynamics involving pure energy-momentum transport.
We find these fluids to be characterized by five second-order transport coefficients based on the effective action (a three parameter family is Weyl invariant).
On the other hand since all flows of such fluids are non-dissipative, they entail zero entropy production; one can therefore understand them using the entropy current formalism which has provided much insight into hydrodynamic transport.

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