论文标题
异质连续时间随机步行模型的连续限制
Continuous limits of Heterogeneous Continuous Time Random Walk model
论文作者
论文摘要
连续时间随机步行模型一直是用于研究和建模异质结构(例如无序或多孔培养基)中的扩散过程的多功能性形式主义。 当随机步行在不同的时间长度内的图上跳跃时,我们正在研究异质连续时间随机步行模型的连续限制。 我们将广义主方程的概念应用于网络上的异质连续时间随机步行。 根据等待时间分布的解释,广义主方程提供了不同形式的连续方程。
Continuous time random Walk model has been versatile analytical formalism for studying and modeling diffusion processes in heterogeneous structures, such as disordered or porous media. We are studying the continuous limits of Heterogeneous Continuous Time Random Walk model, when a random walk is making jumps on a graph within different time-length. We apply the concept of a generalized master equation to study heterogeneous continuous-time random walks on networks. Depending on the interpretations of the waiting time distributions the generalized master equation gives different forms of continuous equations.