Vakarin E. V. On the origin of power-law distributions in systems with constrained phase space / E. V. Vakarin // Condensed Matter Physics. - 2013. - 16, № 4. - С. 43802. - Бібліогр.: 37 назв. - англ.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. Індекс рубрикатора НБУВ: В369
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