Pre-asymptotic corrections to fractional diffusion equations

Marseguerra M; Zoia A

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Pre-asymptotic corrections to fractional diffusion equations

机译：分数扩散方程的渐近前校正

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The motion of contaminant particles through complex environments such as fractured rocks or porous sediments is often characterized by anomalous diffusion: the spread of the transported quantity is found to grow sublinearly in time due to the presence of obstacles which hinder particle migration. The asymptotic behavior of these systems is usually well described by fractional diffusion, which provides an elegant and unified framework for modeling anomalous transport. We show that pre-asymptotic corrections to fractional diffusion might become relevant, depending on the microscopic dynamics of the particles. To incorporate these effects, we derive a modified transport equation and validate its effectiveness by a Monte Carlo simulation. (C) 2008 Elsevier B.V. All rights reserved.

机译：污染物颗粒在复杂环境（例如破裂的岩石或多孔沉积物）中的运动通常以反常扩散为特征：由于存在阻碍颗粒迁移的障碍，运输量的扩散随时间线性增长。这些系统的渐近行为通常可以通过分数扩散很好地描述，分数扩散为建模异常传输提供了一个优雅而统一的框架。我们表明，根据粒子的微观动力学，对分数扩散的渐近校正可能变得有意义。为了合并这些影响，我们导出了一个修正的运输方程，并通过蒙特卡洛模拟验证了其有效性。（C）2008 Elsevier B.V.保留所有权利。

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《Physica, A. Statistical mechanics and its applications》 |2008年第12期|共7页
作者
Marseguerra M; Zoia A;
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正文语种 eng
中图分类理论物理学;
关键词
anomalous diffusion; CTRW; fractional diffusion equation; Monte Carlo; HETEROGENEOUS POROUS-MEDIA; TIME RANDOM-WALKS; ANOMALOUS TRANSPORT; STOCHASTIC TRANSPORT; MONTE-CARLO; KINETICS; DISPERSION; DYNAMICS;

机译：异常扩散;CTRW;分数扩散方程;蒙特卡洛;异质多孔介质;时空行走;异常传输;随机传输;蒙特卡洛;动力学;色散;动力学;

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7. Pre-asymptotic corrections to fractional diffusion equations [O] . Marseguerra, M., Zoia, A. 2008

机译：分数阶扩散方程的渐近渐近校正

Pre-asymptotic corrections to fractional diffusion equations

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