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http://elar.urfu.ru/handle/10995/111516
Название: | Superdiffusion in Self-reinforcing Run-and-tumble Model with Rests |
Авторы: | Fedotov, S. Han, D. Ivanov, A. O. Da Silva, M. A. A. |
Дата публикации: | 2022 |
Издатель: | American Physical Society American Physical Society (APS) |
Библиографическое описание: | Superdiffusion in Self-reinforcing Run-and-tumble Model with Rests / S. Fedotov, D. Han, A. O. Ivanov et al. // Physical Review E. — 2022. — Vol. 105. — Iss. 1. — 014126. |
Аннотация: | This paper introduces a run-and-tumble model with self-reinforcing directionality and rests. We derive a single governing hyperbolic partial differential equation for the probability density of random-walk position, from which we obtain the second moment in the long-time limit. We find the criteria for the transition between superdiffusion and diffusion caused by the addition of a rest state. The emergence of superdiffusion depends on both the parameter representing the strength of self-reinforcement and the ratio between mean running and resting times. The mean running time must be at least 2/3 of the mean resting time for superdiffusion to be possible. Monte Carlo simulations validate this theoretical result. This work demonstrates the possibility of extending the telegrapher's (or Cattaneo) equation by adding self-reinforcing directionality so that superdiffusion occurs even when rests are introduced. © 2022 American Physical Society. |
Ключевые слова: | INTELLIGENT SYSTEMS HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION MONTE CARLO'S SIMULATION PROBABILITY DENSITIES RANDOM WALK RUNNING TIME SECOND MOMENTS SELF REINFORCING SELF-REINFORCEMENT SUPERDIFFUSION TELEGRAPHER'S EQUATIONS MONTE CARLO METHODS ARTICLE DIFFUSION MONTE CARLO METHOD PROBABILITY RANDOM WALK REINFORCEMENT (PSYCHOLOGY) RUNNING |
URI: | http://elar.urfu.ru/handle/10995/111516 |
Условия доступа: | info:eu-repo/semantics/openAccess |
Идентификатор SCOPUS: | 85124480851 |
Идентификатор WOS: | 000754006200002 |
Идентификатор PURE: | 29640701 |
ISSN: | 2470-0045 |
DOI: | 10.1103/PhysRevE.105.014126 |
Сведения о поддержке: | S.F. is thankful for the support and hospitality of the Ural Mathematical Center at the Ural Federal University, Ekaterinburg. S.F. also acknowledges financial support from RSF Project No. 20-61-46013. D.H. acknowledges the support from Wellcome Trust Grant No. 215189/Z/19/Z, the Medical Research Council, as part of United Kingdom Research and Innovation (also known as UK Research and Innovation) [MC/UP/1201/21] and Churchill College, University of Cambridge. A.O.I. acknowledges financial support from the Ministry of Science and Higher Education of the Russian Federation (Ural Mathematical Center Project No. 075-02-2021-1387). D.H. and M.A.A.S acknowledge financial support from FAPESP/SPRINT Grant No. 18/15308-4. M.A.A.S acknowledges the Brazilian government's research funding agency CNPq (process no. 312667/2018-3). |
Карточка проекта РНФ: | 20-61-46013 |
Располагается в коллекциях: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
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Файл | Описание | Размер | Формат | |
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2-s2.0-85124480851.pdf | 245,87 kB | Adobe PDF | Просмотреть/Открыть |
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