English

Thermostating by Deterministic Scattering: Heat and Shear Flow

chao-dyn 2009-10-31 v1 Chaotic Dynamics

Abstract

We apply a recently proposed novel thermostating mechanism to an interacting many-particle system where the bulk particles are moving according to Hamiltonian dynamics. At the boundaries the system is thermalized by deterministic and time-reversible scattering. We show how this scattering mechanism can be related to stochastic boundary conditions. We subsequently simulate nonequilibrium steady states associated to thermal conduction and shear flow for a hard disk fluid. The bulk behavior of the model is studied by comparing the transport coefficients obtained from computer simulations to theoretical results. Furthermore, thermodynamic entropy production and exponential phase-space contraction rates in the stationary nonequilibrium states are calculated showing that in general these quantities do not agree.

Keywords

Cite

@article{arxiv.chao-dyn/9903027,
  title  = {Thermostating by Deterministic Scattering: Heat and Shear Flow},
  author = {C. Wagner and R. Klages and G. Nicolis},
  journal= {arXiv preprint arXiv:chao-dyn/9903027},
  year   = {2009}
}

Comments

16 pages (revtex) with 9 figures (postscript)

R2 v1 2026-07-22T09:56:51.133Z