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arXiv · 1203.5968

Logarithmic oscillators: ideal Hamiltonian thermostats

Michele Campisi·Fei Zhan·Peter Talkner·Peter Hänggi
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Abstract

A logarithmic oscillator (in short, log-oscillator) behaves like an ideal thermostat because of its infinite heat capacity: when it weakly couples to another system, time averages of the system observables agree with ensemble averages from a Gibbs distribution with a temperature T that is given by the strength of the logarithmic potential. The resulting equations of motion are Hamiltonian and may be implemented not only in a computer but also with real-world experiments, e.g., with cold atoms.

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Michele Campisi, Fei Zhan, Peter Talkner, Peter Hänggi. 2012-03-27. Logarithmic oscillators: ideal Hamiltonian thermostats. https://doi.org/10.1103/physrevlett.108.250601

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