کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9727800 | 1480210 | 2005 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Derivation of a Fokker-Planck equation for generalized Langevin dynamics
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Derivation of a Fokker-Planck equation for generalized Langevin dynamics Derivation of a Fokker-Planck equation for generalized Langevin dynamics](/preview/png/9727800.png)
چکیده انگلیسی
A Fokker-Planck equation describing the statistical properties of Brownian particles acted upon by long-range stochastic forces with power-law correlations is derived. In contrast with previous approaches (Wang, Phys. Rev. A 45 (1992) 2), it is shown that the distribution of Brownian particles after release from a point source is broader than Gaussian and described by a Fox function. Transport is shown to be ballistic at short times and either sub-diffusive or super-diffusive at large times. The imposition of occasional trapping events onto the Brownian dynamics can result in confined diffusion (d/dtãx2ãâ0) at long times when the mean trapping time is divergent. It is suggested that such dynamics describe protein motions in cell membranes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 350, Issues 2â4, 15 May 2005, Pages 183-188
Journal: Physica A: Statistical Mechanics and its Applications - Volume 350, Issues 2â4, 15 May 2005, Pages 183-188
نویسندگان
Sharon Khan, Andy M. Reynolds,