English

Memory effect in uniformly heated granular gases

Statistical Mechanics 2016-11-17 v1 Soft Condensed Matter

Abstract

We evidence a Kovacs-like memory effect in a uniformly driven granular gas. A system of inelastic hard particles, in the low density limit, can reach a non-equilibrium steady state when properly forced. By following a certain protocol for the drive time dependence, we prepare the gas in a state where the granular temperature coincides with its long time value. The temperature subsequently does not remain constant, but exhibits a non-monotonic evolution with either a maximum or a minimum, depending on the dissipation, and on the protocol. We present a theoretical analysis of this memory effect, at Boltzmann-Fokker-Planck equation level, and show that when dissipation exceeds a threshold, the response can be coined anomalous. We find an excellent agreement between the analytical predictions and direct Monte Carlo simulations.

Keywords

Cite

@article{arxiv.1407.3936,
  title  = {Memory effect in uniformly heated granular gases},
  author = {E. Trizac and A. Prados},
  journal= {arXiv preprint arXiv:1407.3936},
  year   = {2016}
}
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