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論文資訊
- 類型:已發表論文
- 日期:2016-12-02
摘要
非線性 Fokker-Planck equations endowed with curl drift forces are investigated. The conditions under which these 演化 equations admit stationary solutions, which are q exponentials of an appropriate potential function, are determined. It is proved that when these stationary solutions exist, the 非線性 Fokker-Planck equations satisfy an H theorem in terms of a free-energy-like quantity involving the S-q 熵. A particular two-dimensional model admitting analytical, time-dependent q-Gaussian solutions is discussed in detail. This model describes a system of particles with short-range interactions, performing overdamped motion under drag effects due to a rotating resisting medium. It is related to models that have been recently applied to the study of type-II superconductors. The relevance of the presen
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