Universal features in the thermodynamics and heat transport by particles of any statistics

TL;DR

This paper explores two universal phenomena in thermodynamics and heat transport, showing their microscopic similarities and independence from particle statistics, applicable to ideal gases and one-dimensional channels.

Contribution

It reveals the microscopic reasons behind the universality of heat capacity, entropy, and transport properties across different particle statistics.

Findings

Heat capacity and entropy are independent of particle statistics for gases with constant density of states.

Heat and entropy transport in 1D channels are also statistically independent.

A close microscopic similarity explains these universal phenomena.

Abstract

I discuss in parallel two universal phenomena: the independence of statistics of the heat capacity and entropy of ideal gases of the same, constant, density of states, on one hand, and the independence of statistics of the heat and entropy transport through one-dimensional channels, on the other hand. I show that there is a close similarity between the microscopic explanations of each of these phenomena.