2004年3月1日 · We investigate continuous time random walk (CTRW) theory, which often assumes an algebraic decay for the single transition time probability density function (pdf) ψ (t)∼ t−1−β for large times t. In this form, β is a constant (0<β <2) defining the functional behavior of …

在数学中，连续时间随机游走（Continuous-time random walk, CTRW）是随机游走的推广，其中游荡粒子在跳跃之间等待随机时间。这是一个随机跳跃过程，跳跃长度和等待时间分布任意。

random walk (CTRW) approach and velocity-independent transition time distributions explain experimental data • Breakthrough curves (BTCs) at multiple flow rates are fit with true velocities and shared CTRW parameters (with unit time constant) for two physical setups • We show by example how distinct sets of CTRW parameters may fit the same

2022年9月21日 · CTRW 由 Montroll 和 Weiss 引入，作为物理扩散过程的推广，以有效描述异常扩散（anomalous diffusion），即超扩散和亚扩散情况（super- and sub-diffusive cases）。 CTRW 的等效公式由广义主方程给出。已经建立了 CTRW 和具有分数时间导数的扩散方程之间的联系。

连续时间 随机游走 （continuous-time random walk，CTRW）模型与探索和偏好返回（exploration and preferential return，EPR）模型是最有代表性的研究。然而这些模型通常对现实世界进行高度的抽象，忽略时间和空间的异质性，更忽略了群体层面OD流量分布特征。

2017年6月21日 · Here, we focus on such effects when the diffusion process is described by the Continuous Time Random Walk (CTRW) model. For the case where the jump length and the waiting time probability density functions (pdfs) are long-tailed, we derive a general bifractional diffusion equation which reduces to a normal diffusion equation in the appropriate ...

Montroll-Weiss theory of separable CTRW in terms of the random waiting time, moments of the position, Tauberian theorems for the Laplace transform and long-time scaling laws, normal diffusion (CLT + square-root scaling); anomalous dispersion due to long trapping-times with constant displacements, example: peak broadening in DNA gel ...

To address random waiting times in the context of continuous time random walks (CTRWs), we will begin with a brief overview of Laplace transforms and renewal theory, including an example in which the waiting time is given by a Poisson PDF. We will then apply these techniques to a separable CTRW, as first proposed by Montroll and Weiss.

1992年10月1日 · An equivalence is established between the propagator formalism of the continuous time random walk (CTRW) theory with finite random flying times and a generalized non-Markovian master equation. The basic quantities of the theory are the waiting time distribution w ( t ), the flying time distribution w F ( t ), and the (conditional) probability P ...

2015年1月16日 · We propose a correcting modification to the CTRW model -- adding anisotropy -- and show that it yields good agreement with the simulated diffusion process. We also present a method to obtain Pl and Pt directly from the porous sample, without having to simulate an actual diffusion process.