On the origin of power laws in equilibrium
1 Institute of Physics, University of Augsburg - Universitätsstr. 1, D-86159 Augsburg, Germany
2 International Center for Quantum Materials, Peking University - 100871, Beijing, China
Received: 27 June 2012
Accepted: 31 August 2012
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/kB − 1, where kB is the Boltzmann constant and C is the heat capacity.
PACS: 05.20.-y – Classical statistical mechanics / 05.70.-a – Thermodynamics
© EPLA, 2012