Distribution of Microscopic Energy Flux in Equilibrium State

TL;DR

This paper investigates the distribution of microscopic energy flux in equilibrium, revealing a broad peak at small flux values and a stretched-exponential decay at large flux, linked to different physical processes.

Contribution

It provides a detailed analysis of the microscopic energy flux distribution, identifying the origins of its features in specific physical terms.

Findings

P(j) has a broad peak at small j

P(j) exhibits a stretched-exponential decay at large j

The peak is due to potential advection and energy transfer terms

Abstract

The distribution function P(j) of the microscopic energy flux, j, in equilibrium state is studied. It is observed that P(j) has a broad peak in small j regime and a stretched-exponential decay for large j. The peak structure originates in a potential advection term and energy transfer term between the particles. The stretched exponential tail comes from the momentum energy advection term.