Isomorphic multifractal shear flows for hard disks via adiabatic and isokinetic nonequilibrium molecular dynamics
- 1 May 1998
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 57 (5), 4969-4975
- https://doi.org/10.1103/physreve.57.4969
Abstract
Identical particle trajectories can result from driven shear flows of two different types: (i) thermostatted flows, simulating a nonequilibrium steady state, and (ii) adiabatic flows, in which the irreversible heating associated with viscous work is not extracted from the system. This trajectory isomorphism applies to shears of hard particles, such as hard disks and spheres. Here we simulate such isomorphic shear flows. We also discuss the associated instantaneous Lyapunov spectra, which are not isomorphic. We extrapolate the dissipative hard-disk spectra to the large-system limit.Keywords
This publication has 20 references indexed in Scilit:
- Multifractals from Hamiltonian many-body molecular dynamicsPhysics Letters A, 1997
- Derivation of Ohm’s law in a deterministic mechanical modelPhysical Review Letters, 1993
- Constant Temperature Molecular Dynamics MethodsProgress of Theoretical Physics Supplement, 1991
- Reversible mechanics and time’s arrowPhysical Review A, 1988
- Dissipative Irreversibility from Nosé's Reversible MechanicsMolecular Simulation, 1987
- Diffusion in a periodic Lorentz gasJournal of Statistical Physics, 1987
- Resolution of Loschmidt’s paradox: The origin of irreversible behavior in reversible atomistic dynamicsPhysical Review Letters, 1987
- The information dimension of the nonequilibrium distribution functionPhysics Letters A, 1987
- The dimension of chaotic attractorsPhysica D: Nonlinear Phenomena, 1983
- Thermodynamic Properties of the Fluid and Solid Phases for Inverse Power PotentialsThe Journal of Chemical Physics, 1971