Michele Campisi, Fei Zhan, Peter Talkner, Peter Hänggi
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. At variance with the Nos\'e-Hoover equations of motion, the resulting equations of motion are Hamiltonian and may be implemented not only in a computer but also in a real-world experiment, e.g., with cold atoms.
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http://arxiv.org/abs/1203.5968
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