arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1104.5570cond-mat.stat-mech
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具有吸收势垒的随机模型中的非高斯涨落

Non-Gaussian fluctuations in stochastic models with absorbing barriers

Claudia Cianci, Francesca Di Patti, Duccio Fanelli

摘要:

研究了具有吸收边界的一维随机模型的动力学问题。波动的分布分析的特点是在广义van Kampen展开,占高阶修正超出了传统的高斯近似。该理论成功地捕捉到非高斯特性的寻求分布返回一个很好的协议与模拟,为{ \it所有的时间}和任意{ \it接近}的吸收屏障。在大的时候,一个紧凑的分析解决方案的波动分布也得到了,弥合与以前的调查,在范坎彭图片和不诉诸替代战略,其他地方假设的差距。

英文摘要:

The dynamics of a one-dimensional stochastic model is studied in presence of an absorbing boundary. The distribution of fluctuations is analytically characterized within the generalized van Kampen expansion, accounting for higher order corrections beyond the conventional Gaussian approximation. The theory is shown to successfully capture the non Gaussian traits of the sought distribution returning an excellent agreement with the simulations, for {\it all times} and arbitrarily {\it close} to the absorbing barrier. At large times, a compact analytical solution for the distribution of fluctuations is also obtained, bridging the gap with previous investigations, within the van Kampen picture and without resorting to alternative strategies, as elsewhere hypothesized.

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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