{"title":"Effects of a moving barrier on the first-passage time of a diffusing particle under stochastic resetting","authors":"Telles Timóteo Da Silva","doi":"10.1016/j.cnsns.2025.108732","DOIUrl":null,"url":null,"abstract":"<div><div>We study a first-passage time problem for a one-dimensional diffusion under stochastic resetting through a moving barrier described by a piecewise affine function. It is shown that the mean first-passage time can be minimized with respect to the resetting rate. However, the mean first-passage time exhibits multiple extrema as a function of the resetting rate, depending on the choice of the model parameters. This contrasts with the diffusion with stochastic resetting with static barrier, where only a single minimum exists. We develop a detailed numerical example in the case where the moving barrier is an alternating sequence of a constant function and an affine function with arbitrary slope. It is found that the optimal resetting rate varies discontinuously with the slope.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108732"},"PeriodicalIF":3.4000,"publicationDate":"2025-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Nonlinear Science and Numerical Simulation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1007570425001431","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
We study a first-passage time problem for a one-dimensional diffusion under stochastic resetting through a moving barrier described by a piecewise affine function. It is shown that the mean first-passage time can be minimized with respect to the resetting rate. However, the mean first-passage time exhibits multiple extrema as a function of the resetting rate, depending on the choice of the model parameters. This contrasts with the diffusion with stochastic resetting with static barrier, where only a single minimum exists. We develop a detailed numerical example in the case where the moving barrier is an alternating sequence of a constant function and an affine function with arbitrary slope. It is found that the optimal resetting rate varies discontinuously with the slope.
期刊介绍：
The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity.
The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged.
Topics of interest:
Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity.
No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.
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