Transport Properties of a Non-relativistic Delta-Shell Gas with Long Scattering Lengths

TL;DR

This paper investigates the transport properties such as diffusion, thermal conductivity, and shear viscosity of a non-relativistic delta-shell gas, emphasizing the effects of resonances and long scattering lengths, including the unitary limit.

Contribution

It provides new calculations of transport coefficients for a delta-shell potential system with varying scattering lengths, highlighting the role of resonances and the unitary limit.

Findings

Ratios of diffusion to viscosity are computed for different scattering lengths.

Viscosity to entropy density ratios are analyzed across scattering regimes.

Resonance effects significantly influence transport properties.

Abstract

The coefficients of diffusion, thermal conductivity, and shear viscosity are calculated for a system of non-relativistic particles interacting via a delta-shell potential V(r)=-v \delta(r-R) when the average distance between particles is smaller than R. The roles of resonances and long scattering lengths including the unitary limit are examined. Results for ratios of diffusion to viscosity and viscosity to entropy density are presented for varying scattering lengths.