Impenetrable Barriers in Phase Space for Deterministic Thermostats

Details Impenetrable Barriers in Phase Space for Deterministic Thermostats Impenetrable Barriers in Phase Space for Deterministic Thermostats

2008-10-19

arxiv.org/abs/0810.3410v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

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.

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