کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1868090 | 1038399 | 2006 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Relationship between a non-Markovian process and Fokker–Planck equation
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موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Relationship between a non-Markovian process and Fokker–Planck equation Relationship between a non-Markovian process and Fokker–Planck equation](/preview/png/1868090.png)
چکیده انگلیسی
We demonstrate the equivalence of a non-Markovian evolution equation with a linear memory-coupling and a Fokker–Planck equation (FPE). In case the feedback term offers a direct and permanent coupling of the current probability density to an initial distribution, the corresponding FPE offers a non-trivial drift term depending itself on the diffusion parameter. As the consequence the deterministic part of the underlying Langevin equation is likewise determined by the noise strength of the stochastic part. This memory induced stochastic behavior is discussed for different, but representative initial distributions. The analytical calculations are supported by numerical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 359, Issue 5, 4 December 2006, Pages 349–356
Journal: Physics Letters A - Volume 359, Issue 5, 4 December 2006, Pages 349–356
نویسندگان
Knud Zabrocki, Svetlana Tatur, Steffen Trimper, Reinhard Mahnke,