Energy fluctuations in a randomly driven granular fluid

TL;DR

This paper investigates energy fluctuations in a stationary, randomly driven granular gas, deriving correlation functions and hydrodynamic eigenvalues, and providing explicit predictions that align with previous Monte Carlo simulations.

Contribution

It introduces a theoretical framework for energy fluctuations in granular gases, including explicit predictions that match numerical data, advancing understanding of non-equilibrium steady states.

Findings

Derived the equation for the two-particle correlation function

Identified hydrodynamic eigenvalues relevant to energy fluctuations

Predicted energy fluctuation behavior consistent with Monte Carlo data

Abstract

We study the behavior of the energy fluctuations in the stationary state of a uniformly heated granular gas. The equation for the one-time two-particle correlation function is derived and the hydrodynamic eigenvalues are identified. Explicit predictions are subsequently worked out for energy fluctuations. The results explain Monte Carlo numerical data reported in previous studies (P. Visco et al, European Physical Journal B 51, 377 (2006)).