An exactly solvable model for driven dissipative systems

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.

Some further clarifications. No changes in results or conclusions

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Cited by in corpus (25)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Fluctuation-Dissipation relation in sub-diffusive systems: the case of granular single-file
• The rich behavior of the Boltzmann equation for dissipative gases
• Heating mechanism affects equipartition in a binary granular system
• Frequency-dependent fluctuation-dissipation relations in granular gases
• Fluctuation-dissipation relations in driven dissipative systems
• Statistical distributions in the folding of elastic structures
• Lattice models for granular-like velocity fields: Hydrodynamic limit
• Isolated Non-Equilibrium Systems in Contact
• High-Energy Tail of the Velocity Distribution of Driven Inelastic Maxwell Gases
• Theoretical approaches to the steady-state statistical physics of interacting dissipative units
• Energy distribution and effective temperatures in a driven dissipative model
• Fluid-mediated sources of granular temperature at finite Reynolds numbers
• The fluctuation-dissipation relation holds for a macroscopic tracer in an active bath
• Conductance noise in interacting Anderson insulators driven far from equilibrium
• Stability of freely cooling granular mixtures at moderate densities
• Jamming transition of kinetically-constrained models in rectangular systems
• Boltzmann equation for dissipative gases in homogeneous states with nonlinear friction
• Correlation and response in a driven dissipative model
• Jamming by Shape in Kinetically-Constrained Models
• Dynamics of Energy Fluctuations in Equilibrating and Driven-Dissipative Systems
• Mobility and diffusion of intruders in granular suspensions. Einstein relation
• A note on the violation of the Einstein relation in a driven moderately dense granular gas
• Dissipative electron-phonon system photoexcited far from equilibrium