A Fractional Diffusion Model with Resetting
We consider a model that serves as a paradigm for a class of search strategies in which the searcher having explored its environment unsuccessfully for a while, returns to its initial position and begins a new search. The model describes the diffusive motion of a particle, performing a random walk with Lévy distributed jump lengths, which is interrupted at random times when the particle is reset to its initial position. A numerical method is proposed to determine the solutions of this diffusive problem with resetting. The influence of resetting on the solutions is analysed and physical quantities such as the pseudo second moment will be discussed.
- 12.Whitehouse, J., Evans, M.R., Majumbar, S.N.: Effect of partial absorption on diffusion with resetting. Phys. Rev. E. 87, 022118 (2013)Google Scholar