Logarithmic oscillators: ideal Hamiltonian thermostats

Details Logarithmic oscillators: ideal Hamiltonian thermostats Logarithmic oscillators: ideal Hamiltonian thermostats

2012-03-27

arxiv.org/abs/1203.5968v3

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures. v3: revised version

Scientific paper

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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