Thermostating by Deterministic Scattering: Heat and Shear Flow

Details Thermostating by Deterministic Scattering: Heat and Shear Flow Thermostating by Deterministic Scattering: Heat and Shear Flow

1999-03-19

arxiv.org/abs/chao-dyn/9903027v1

Phys. Rev. E 60, 1401-1411 (1999)

Nonlinear Sciences

Chaotic Dynamics

16 pages (revtex) with 9 figures (postscript)

Scientific paper

10.1103/PhysRevE.60.1401

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.

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