- 97-38 Rugh H.H.
- A Dynamical Approach to Temperature.
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Jan 30, 97
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Abstract. 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.
Phys. Rev. Lett (vol 78, no. 4), 772-774 (1997).
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