Nonrelativistic hydrodynamics from quantum field theory. I. Normal fluid composed of spinless Schrödinger fields
type: Item
instance of: scholarly article
title: Nonrelativistic hydrodynamics from quantum field theory. I. Normal fluid composed of spinless Schrödinger fields
zbMATH Open document ID: 1420.82017
author: Masaru Hongo
published in: Journal of Statistical Physics
publication date: 2019-06-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/1801.06520
review text: As the author describes in the abstract, this manuscript deals with the derivation of hydrodynamic equations for nonrelativistic systems based on quantum field theories of spinless Schrödinger fields, assuming that an initial density operator takes a special form of the local Gibbs distribution. An optimized/renormalized perturbation theory for real-time evolution that helps to evaluate dissipative and no dissipative parts of constitutive relations is developed. The author shows that the path integral formula for local thermal equilibrium together with the symmetry properties of the resulting action provides a systematic way to derive the no dissipative part of constitutive relations and those dissipative parts are accompanied with the entropy production operator together with two kinds of fluctuation theorems. After obtaining the exact expression for constitutive relations, the author performs the derivative expansion and derives the first-order hydrodynamic (Navier-Stokes) equation using the Green-Kubo formula for transport coefficients.
Mathematics Subject Classification ID: 82C40
Mathematics Subject Classification ID: 81V70
Mathematics Subject Classification ID: 81T10
Mathematics Subject Classification ID: 81S40
Mathematics Subject Classification ID: 35R20
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 7066598
zbMATH Keywords: nonrelativistic hydrodynamics
zbMATH Keywords: renormalized/optimized perturbation theory
zbMATH Keywords: fluctuation theorem
zbMATH Keywords: nonrelativistic curved geometry
zbMATH Keywords: path integral
reviewed by: Maria C. Mariani
MaRDI profile type: Publication
OpenAlex ID: W2784671433
arXiv ID: 1801.06520
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DOI: 10.1007/S10955-019-02224-4
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description: scientific article