An exactly solvable model for driven dissipative systems

TL;DR

This paper presents an exactly solvable stochastic model for driven dissipative systems, analyzing their non-equilibrium steady states, energy distributions, and fluctuation-dissipation relations, revealing differences in effective temperature measures.

Contribution

The paper introduces a novel solvable model for driven dissipative systems inspired by granular gases, providing insights into their steady states and effective temperatures.

Findings

Steady states characterized by non-Boltzmann energy distributions.

Fluctuation-dissipation relations hold with differing effective temperatures.

Comparison of different measures of effective temperature in the model.

Abstract

We introduce a solvable stochastic model inspired by granular gases for driven dissipative systems. We characterize far from equilibrium steady states of such systems through the non-Boltzmann energy distribution and compare different measures of effective temperatures. As an example we demonstrate that fluctuation-dissipation relations hold, however with an effective temperature differing from the effective temperature defined from the average energy.