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：2008
摘要
The stability of q-Gaussian distributions as particular solutions of the linear 擴散 equation and its generalized 非線性 form, partial derivative P(x,t)/partial derivative t = D partial derivative(2)P(x,t)q/partial derivative x(2), the porous-medium equation, is investigated through both numerical and analytical approaches. An analysis of the kurtosis of the distributions strongly suggests that an initial q-Gaussian, characterized by an index q(i), approaches asymptotically the final, analytic solution of the porous- medium equation, characterized by an index q, in such a way that the relaxation rule for the kurtosis evolves in time according to a q-exponential, with a relaxation index q(rel) equivalent to q(rel)(q). In some cases, particularly when one attempts to transform an infinite-v
※ 此為已發表論文，全文需透過期刊付費取得