On the origin of power-law distributions in systems with constrained phase space
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 Shan...
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Institute for Condensed Matter Physics
2013-01-01
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| Series: | Condensed Matter Physics |
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| Online Access: | http://dx.doi.org/10.5488/CMP.16.43802 |
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doaj-156c45b352784fa4a7420bd4362acdbd2020-11-24T23:13:08ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2013-01-011644380210.5488/CMP.16.43802On the origin of power-law distributions in systems with constrained phase spaceE.V. VakarinBehavior 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.http://dx.doi.org/10.5488/CMP.16.43802statistical mechanicspower-law distributions |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
E.V. Vakarin |
| spellingShingle |
E.V. Vakarin On the origin of power-law distributions in systems with constrained phase space Condensed Matter Physics statistical mechanics power-law distributions |
| author_facet |
E.V. Vakarin |
| author_sort |
E.V. Vakarin |
| title |
On the origin of power-law distributions in systems with constrained phase space |
| title_short |
On the origin of power-law distributions in systems with constrained phase space |
| title_full |
On the origin of power-law distributions in systems with constrained phase space |
| title_fullStr |
On the origin of power-law distributions in systems with constrained phase space |
| title_full_unstemmed |
On the origin of power-law distributions in systems with constrained phase space |
| title_sort |
on the origin of power-law distributions in systems with constrained phase space |
| publisher |
Institute for Condensed Matter Physics |
| series |
Condensed Matter Physics |
| issn |
1607-324X |
| publishDate |
2013-01-01 |
| description |
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. |
| topic |
statistical mechanics power-law distributions |
| url |
http://dx.doi.org/10.5488/CMP.16.43802 |
| work_keys_str_mv |
AT evvakarin ontheoriginofpowerlawdistributionsinsystemswithconstrainedphasespace |
| _version_ |
1725599139774857216 |