Multibaker map for shear flow and viscous heating - art. no. 056106

A consistent description of shear flow and the accompanying viscous heating as well as the associated entropy balance is given in the framework of a d eterministic dynamical system. The laminar shear flow is modeled by a Hamil tonian multibaker map which drives velocity and temperature fields. In the appropriate macroscopic limit one recovers the Navier-Stokes and heat condu ction equations along with the associated entropy balance. This indicates t hat results of nonequilibriurn thermodynamics can be described by means of an abstract, sufficiently chaotic, and mixing dynamics. A thermostating alg orithm can also be incorporated into this framework.