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Causality and dissipation in relativistic polarizable fluids

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Author(s):
Montenegro, David ; Torrieri, Giorgio
Total Authors: 2
Document type: Journal article
Source: PHYSICAL REVIEW D; v. 100, n. 5, p. 12-pg., 2019-09-17.
Abstract

Using field theory techniques we analyze the perfect fluid limit, defined as fastest possible local equilibration, in a medium with polarizability, defined as a nonzero local equilibrium partition of angular momentum into spin and vorticity. We show that to restore causality a relaxation term linking vorticity and polarization, analogous to the Israel-Stewart term linking viscous forces and gradients, is required. This term provides the minimum amount of dissipation a locally thermalized relativistic medium with polarizability must have, independently of its underlying degrees of freedom. For materials susceptible to spin alignment an infrared acausal mode remains, which we interpret as a Banks-Casher mode signaling spontaneous transition to a polarized phase. With these ingredients, we propose a candidate for a fully causal Lagrangian of a relativistic polarizable system near the perfect fluid limit, and close with some phenomenological considerations. (AU)

FAPESP's process: 17/06508-7 - Development of hydrodynamics as a field theory
Grantee:Donato Giorgio Torrieri
Support Opportunities: Regular Research Grants
FAPESP's process: 17/05685-2 - Hadronic physics in high energy nuclear collisions
Grantee:Jun Takahashi
Support Opportunities: Special Projects