On the origin of power-law distributions in systems with constrained phase space
arXiv:1312.4870 · doi:10.5488/CMP.16.43802
Abstract
Behavior of condensed matter systems deviating from the standard equilibrium conditions is discussed. Statistical properties of coupled dynamic-stochastic systems are studied within a combination of the maximum information principle and the superstatistical approach. The conditions at which the Shannon entropy functional leads to a power-law statistics are investigated. It is demonstrated that, from a quite general point of view, the power-law dependencies may appear as a consequence of "global" constraints restricting both the dynamic phase space and the stochastic fluctuations. As a result, at sufficiently long observation times, the dynamic counterpart is driven into a non-equilibrium steady state whose deviation from the usual exponential statistics is given by the distance from the conventional equilibrium.
arXiv commentThis article has been retracted by the decision of the Editorial Board. There is a significant overlap with arXiv:cond-mat/0604573