聖塔非研究所

摘要 非線性 Fokker Planck equations endowed with curl dri

2016-12-02 · 已發表論文 · 更新 2026/08/30 下午12:48

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 appro…

本頁只刊出中文翻譯與中文說明;英文原文請見下方原文連結。

原文連結

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

※ 此為已發表論文,全文需透過期刊付費取得