A Dynamical Approach to Temperature

Details A Dynamical Approach to Temperature A Dynamical Approach to Temperature

1997-01-30

arxiv.org/abs/chao-dyn/9701026v1

Phys. Rev. Lett (vol 78, no. 4), 772-774 (1997)

Nonlinear Sciences

Chaotic Dynamics

3 pages, LaTeX, uses RevTex

Scientific paper

10.1103/PhysRevLett.78.772

We present a new dynamical approach for measuring the temperature of a Hamiltonian dynamical system in the micro canonical ensemble of thermodynamics. We show that under the hypothesis of ergodicity the temperature can be computed as a time-average of the functional, div(grad H/|grad H|^2), 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.

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