Thermostating by Deterministic Scattering: Heat and Shear Flow

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.

16 pages (revtex) with 9 figures (postscript)

Cited by in corpus (11)

• ThermoElectric Transport Properties of a Chain of Quantum Dots with Self-Consistent Reservoirs
• Thermostatting by deterministic scattering
• The Nose-hoover thermostated Lorentz gas
• A MultiBaker Map for Thermodynamic Cross-Effects in Dynamical Systems
• Modelling thermostatting, entropy currents and cross effects by dynamical systems
• Front propagation techniques to calculate the largest Lyapunov exponent of dilute hard disk gases
• From dynamical systems to statistical mechanics: the case of the fluctuation theorem
• On Thermostats: Isokinetic or Hamiltonian? finite or infinite?
• On thermostats and entropy production
• A multibaker map for shear flow and viscous heating
• Lyapunov instability for a periodic Lorentz gas thermostated by deterministic scattering