具有外噪声的非加性系统的自组织
Self-organization in nonadditive systems with external noise
摘要：
Klimontovich S-定理[G. B. Bagci，Int.J. Mod. Phys. B 22，3381（2008）]最近通过采用Tsallis熵获得。这个一般的版本允许一个研究的物理系统，其平稳分布的逆幂律相反，原来的S-定理，它只允许指数平稳分布。本文将非加性S定理应用于具有逆幂律平稳分布的修正Van der Pol振子。利用非加性S定理，证明了系统的熵随系统脱离平衡态而减小，表明系统中存在自组织。发现非加性指数$q$的允许值仅限于（0.5，1].
英文摘要：
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].
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