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arXiv · 1206.6330

On the origin of power-laws in equilibrium

Michele Campisi·Fei Zhan·Peter Hänggi
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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.

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Michele Campisi, Fei Zhan, Peter Hänggi. 2012-08-31. On the origin of power-laws in equilibrium. https://doi.org/10.1209/0295-5075%2F99%2F60004

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