Stochastic resetting by a random amplitude

التفاصيل البيبلوغرافية
العنوان: Stochastic resetting by a random amplitude
المؤلفون: Dahlenburg, M., Chechkin, A. V., Schumer, R., Metzler, R.
المصدر: Phys. Rev. E 103, 052123 (2021)
سنة النشر: 2021
المجموعة: Condensed Matter
Physics (Other)
مصطلحات موضوعية: Condensed Matter - Statistical Mechanics, Physics - Biological Physics
الوصف: Stochastic resetting, a diffusive process whose amplitude is "reset" to the origin at random times, is a vividly studied strategy to optimize encounter dynamics, e.g., in chemical reactions. We here generalize the resetting step by introducing a random resetting amplitude, such that the diffusing particle may be only partially reset towards the trajectory origin, or even overshoot the origin in a resetting step. We introduce different scenarios for the random-amplitude stochastic resetting process and discuss the resulting dynamics. Direct applications are geophysical layering (stratigraphy) as well as population dynamics or financial markets, as well as generic search processes.
Comment: 28 pages, 10 figures, RevTeX
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevE.103.052123
URL الوصول: http://arxiv.org/abs/2104.14866
رقم الانضمام: edsarx.2104.14866
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevE.103.052123