Discontinuity in the specific heat of a weakly interacting Bose gas

TL;DR

This paper presents a simple statistical method to calculate the specific heat discontinuity at the phase transition in a weakly interacting Bose gas, relating it to density and scattering length.

Contribution

It introduces a straightforward approach to determine the specific heat discontinuity in a dilute Bose gas at the phase transition.

Findings

Discontinuity magnitude depends on density and scattering length.

Method applicable to homogeneous, dilute Bose gases.

Provides quantitative predictions for specific heat jump.

Abstract

We produce the discontinuity in the specific heat of a homogeneous, dilute, and weakly interacting Bose gas in a short-wavelength range with a simple statistical method. The magnitude of the discontinuity at the phase transition temperature is obtained as a function of the density and scattering length of the Bose particles.