Shear flow, viscous heating, and entropy balance from dynamical systems

Abstract

A consistent description of a shear flow, the accompanied viscous heating, and the associated entropy balance is given in the framework of a deterministic dynamical system, where a multibaker dynamics drives two fields: the velocity and the temperature distributions. In an appropriate macroscopic limit their transport equations go over into the Navier-Stokes and the heat conduction equation of viscous flows. The inclusion of an artificial heat sink can stabilize steady states with constant temperatures. It mimics a thermostating algorithm used in non-equilibrium molecular-dynamics simulations.

LaTeX 2e (epl.cls + sty-files for Europhys Lett included); 7 pages + 1 eps-figure

References in corpus (4)

• Entropy Production, Fractals, and Relaxation to Equilibrium
• A MultiBaker Map for Thermodynamic Cross-Effects in Dynamical Systems
• Modelling thermostatting, entropy currents and cross effects by dynamical systems
• Thermodynamic Cross-Effects from Dynamical Systems

Cited by in corpus (4)

• Diffusive Lorentz gases and multibaker maps are compatible with irreversible thermodynamics
• Entropy production in diffusion-reaction systems: The reactive random Lorentz gas
• Self-similar analysis of a viscous heated Oberbeck-Boussinesq flow system
• Reply to E.G.D. Cohen, L. Rondoni, Physica A 306 (2002) 117