Multibaker map for shear flow and viscous heating
- 18 October 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 64 (5), 056106
- https://doi.org/10.1103/physreve.64.056106
Abstract
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 deterministic dynamical system. The laminar shear flow is modeled by a Hamiltonian multibaker map which drives velocity and temperature fields. In the appropriate macroscopic limit one recovers the Navier-Stokes and heat conduction equations along with the associated entropy balance. This indicates that results of nonequilibrium thermodynamics can be described by means of an abstract, sufficiently chaotic, and mixing dynamics. A thermostating algorithm can also be incorporated into this framework.Keywords
This publication has 28 references indexed in Scilit:
- An Introduction to Chaos in Nonequilibrium Statistical MechanicsPublished by Cambridge University Press (CUP) ,1999
- Thermostating by deterministic scattering: Heat and shear flowPhysical Review E, 1999
- On the validity of Fourier's law in systems with spatially varying strain ratesMolecular Physics, 1999
- Isomorphic multifractal shear flows for hard disks via adiabatic and isokinetic nonequilibrium molecular dynamicsPhysical Review E, 1998
- Lyapunov Instability of the Boundary-Driven Chernov–Lebowitz Model for Stationary Shear FlowJournal of Statistical Physics, 1997
- Statistical DynamicsPublished by World Scientific Pub Co Pte Ltd ,1997
- Stationary nonequilibrium states in boundary-driven Hamiltonian systems: Shear flowJournal of Statistical Physics, 1997
- Stationary Shear Flow in Boundary Driven Hamiltonian SystemsPhysical Review Letters, 1995
- Probability of Second Law Violations in Shearing Steady StatesPhysical Review Letters, 1993
- Probability of second law violations in shearing steady statesPhysical Review Letters, 1993