Reaction Dynamics of Continuous Time Random Walker in Heterogeneous Environment

Journal of the Korean Chemical Society

Jaeyoung Sung¹ 

关键词: Continuous Time Random Walker;    Reaction Dynamics;    Reaction Kinetics;    Generalized Diffusion Equation;   

DOI  :  

学科分类：化学（综合）

来源: Korean Chemical Society

【 摘 要 】

We report an exact relation between the survival probability, the revisit time distribution, and the reaction-free propagator of the continuous time random walker. The relation holds even for such a general case where the random walker has a distinct jump dynamics at each lattice site, which may be dependent also on the direction of the jump. The application range of the obtained relation is not limited to the nearest neighbor hopping in the bulk lattice either. The result is applicable to a higher dimensional system with the spherical symmetry as well as it is to the onedimensional system.

【 授权许可】

Unknown