A Fractional Diffusion Model with Resetting

机译：带有重置的分数扩散模型

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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 Levy 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.

机译：我们考虑一种模型，该模型充当一类搜索策略的范式，在该模型中，搜索者在一段时间内未成功探索其环境，然后返回其初始位置并开始了新的搜索。该模型描述粒子的扩散运动，以Levy分布的跳跃长度执行随机游走，当粒子重置为其初始位置时，随机游走会被中断。提出了一种数值方法来确定该扩散问题的重置解。分析了重置对解的影响，并讨论了诸如伪秒矩之类的物理量。

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《Finite difference methods: theory and applications》|2018年|509-516|共8页
会议地点 Lozenetz(BG)
作者
Ercilia Sousa; Amal K. Das;
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作者单位

CMUC, Department of Mathematics, University of Coimbra, Coimbra, Portugal;

Department of Physics, Dalhousie University, Halifax, Canada;

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正文语种 eng
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A Fractional Diffusion Model with Resetting

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