Dynamical Approach to Temperature

Hans Henrik Rugh
Phys. Rev. Lett. 78, 772 – Published 3 February 1997
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Abstract

We present a new dynamical approach for measuring the temperature of a Hamiltonian dynamical systems in the microcanonical ensemble of thermodynamics. We show that under the hypothesis of ergodicity the temperature can be computed as a time average of the functional, ̇(H/H2), on the energy surface. Our method not only yields an efficient computational approach for determining the temperature, it also provides an intrinsic link between dynamical systems theory and the statistical mechanics of Hamiltonian systems.

  • Received 17 May 1996

DOI:https://doi.org/10.1103/PhysRevLett.78.772

©1997 American Physical Society

Authors & Affiliations

Hans Henrik Rugh

  • Department of Mathematics, University of Warwick, Coventry, CV4 7AL, England

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Vol. 78, Iss. 5 — 3 February 1997

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