Navier-Stokes equations for nearly integrable quantum gases

Autor:	Łebek, Maciej, Panfil, Miłosz
Rok vydání:	2024
Předmět:	Condensed Matter - Statistical Mechanics Condensed Matter - Quantum Gases Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
Popis:	The Navier-Stokes equations are paradigmatic equations describing hydrodynamics of an interacting system with microscopic interactions encoded in transport coefficients. In this work we show how the Navier-Stokes equations arise from the microscopic dynamics of nearly integrable $1d$ quantum many-body systems. We build upon the recently developed hydrodynamics of integrable models to study the effective Boltzmann equation with collision integral taking into account the non-integrable interactions. We compute the transport coefficients and find that the resulting Navier-Stokes equations have two regimes, which differ in the viscous properties of the resulting fluid. We illustrate the method by computing the transport coefficients for an experimentally relevant case of coupled $1d$ cold-atomic gases. Comment: 6 pages + SM, minor changes, references added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.14292 Zobrazit plný text záznamu View this record from Arxiv