Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-12-04
Int.J.Bif.Chaos 19 (2009) 4247
Physics
Condensed Matter
Statistical Mechanics
7 pages, 2 figs
Scientific paper
A nonadditive generalization of Klimontovich's S-theorem [G. B. Bagci, Int.J. Mod. Phys. B 22, 3381 (2008)] has recently been obtained by employing Tsallis entropy. This general version allows one to study physical systems whose stationary distributions are of the inverse power law in contrast to the original S-theorem, which only allows exponential stationary distributions. The nonadditive S-theorem has been applied to the modified Van der Pol oscillator with inverse power law stationary distribution. By using nonadditive S-theorem, it is shown that the entropy decreases as the system is driven out of equilibrium, indicating self-organization in the system. The allowed values of the nonadditivity index $q$ are found to be confined to the regime (0.5,1].
Bagci Gokhan Baris
Tirnakli Ugur
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