Abstract：To describe the energy-dependent characteristics of the reaction-subdiffusion process, we analyze the simple reaction A$\rightarrow $B under subdiffsion with waiting time depending on the preceding jump length, and derive the corresponding master equations in the Fourier–Laplace space for the distribution of A and B particles in a continuous time random walk scheme. Moreover, the generalizations of the reaction-diffusion equation for the Gaussian jump length with the probability density function of waiting time being quadratically dependent on the preceding jump length are obtained by applying the derived master equations.
(Pattern formation in reactions with diffusion, flow and heat transfer)
引用本文:
. [J]. 中国物理快报, 2018, 35(9): 90501-.
Hong Zhang, Guo-Hua Li. Reaction Subdiffusion with Random Waiting Time Depending on the Preceding Jump Length. Chin. Phys. Lett., 2018, 35(9): 90501-.
2018, Vol. 35 
