On the origin of power-laws in equilibrium

Abstract

A particle in the attractive Coulomb field has an interesting property: its specific heat is constant and negative. We show, both analytically and numerically, that when a classical Hamiltonian system stays in weak contact with one such negative specific heat object, its statistics conforms to a fat-tailed power-law distribution with power index given by $C/k_B-1$, where $k_B$ is Boltzmann constant and $C$ is the heat capacity.

5 pages, 2 figures. v2 accepted in EPL

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Cited by in corpus (1)

• Statistical Power Law due to Reservoir Fluctuations and the Universal Thermostat Independence Principle