تقرير
Superdiffusion in self-reinforcing run-and-tumble model with rests
| العنوان: | Superdiffusion in self-reinforcing run-and-tumble model with rests |
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| المؤلفون: | Fedotov, Sergei, Han, Daniel, Ivanov, Alexey O, da Silva, Marco A A |
| سنة النشر: | 2021 |
| المجموعة: | Condensed Matter Physics (Other) Quantitative Biology |
| مصطلحات موضوعية: | Quantitative Biology - Quantitative Methods, Condensed Matter - Statistical Mechanics, Physics - Biological Physics |
| الوصف: | 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. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevE.105.014126 |
| الوصول الحر: | http://arxiv.org/abs/2110.04299Test |
| رقم الانضمام: | edsarx.2110.04299 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevE.105.014126 |
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