Persistence in Random Walk in Composite Media
D. Chakraborty
TL;DR
This paper studies the persistence probability of a random walker in composite media with inhomogeneous structures, providing analytical and numerical insights into crossover time scales for systems with multiple homogeneous components.
Contribution
It introduces analytical and numerical methods to analyze the persistence in composite media with two and three homogeneous components, advancing understanding of inhomogeneous random walks.
Findings
Derived crossover time scales for two-component systems
Extended analysis to three-component systems
Provided analytical and numerical results for persistence probabilities
Abstract
We consider a class of inhomogeneous media known as composite media that is often encountered in experimental sciences and investigate the persistence probability of a random walker in such a system. Analytical and numerical results for the crossover time scales has been obtained for a composite system with two homogeneous components and three homogeneous components respectively.
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