Impenetrable Barriers in Phase Space for Deterministic Thermostats
Statistical Mechanics
2008-10-21 v1
Abstract
We investigate the relation between the phase space structure of Hamiltonian and non-Hamiltonian deterministic thermostats. We show that phase space structures governing reaction dynamics in Hamiltonian systems map to the same type of phase space structures for the non-Hamiltonian isokinetic equations of motion for the thermostatted Hamiltonian. Our results establish a framework for analyzing thermostat dynamics using concepts and methods developed in reaction rate theory.
Cite
@article{arxiv.0810.3410,
title = {Impenetrable Barriers in Phase Space for Deterministic Thermostats},
author = {Gregory S. Ezra and Stephen Wiggins},
journal= {arXiv preprint arXiv:0810.3410},
year = {2008}
}