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arXiv 1408.3290quant-ph
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具有含时汇的分段线性势中扩散的精确结果

Exact results on diffusion in a piecewise linear potential with a time dependent sink

Diwaker, Anirudhha Chakraborty

摘要:

精确求解了含时汇项的Smoluchowski方程。在该方法中,通过知道原点P(0,s)处的概率分布,可以导出所有位置处的概率分布,即,P(x,s)。进一步给出了汇项随时间线性、常值、反比和指数变化时Smoluchowski方程的精确解。

英文摘要:

The Smoluchowski equation with a time dependent sink term is solved exactly. In this method by knowing the probability distribution at the origin P(0,s), one may derive the probability distribution at all positions i.e., P(x,s). Further the exact solution for Smoluchowski equation are also provided in different cases where the sink term has linear, constant, inverse and exponential variation in time.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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