运行和翻滚粒子在 U ( x ) 中的生存概率和位置分布 ...

IF 2.2 3区物理与天体物理 Q2 MECHANICS

Journal of Statistical Mechanics: Theory and Experiment Pub Date : 2024-09-16 DOI:10.1088/1742-5468/ad6c2c

Sujit Kumar Nath and Sanjib Sabhapandit

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引用次数: 0

摘要

我们研究了一维翻滚粒子的存活概率Ⅴ的晚期指数衰减，该粒子从初始方向Ⅴ开始，在约束势下的存活概率Ⅴ在Ⅴ处有一个吸收边界。我们发现存活概率的衰减率与吸收边界的位置 a 有很大关系，吸收边界在临界值 , 时发生冻结转变，其中 , 是自推进速度，γ 是粒子的翻滚速率。对于，γ 的值冻结在。我们还得到了在 x = a 处具有吸收边界条件的传播者。我们的分析结果得到了数值模拟的支持。

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Survival probability and position distribution of a run and tumble particle in U ( x ) ...

We study the late-time exponential decay of the survival probability , of a one-dimensional run-and-tumble particle starting from with an initial orientation , under a confining potential with an absorbing boundary at . We find that the decay rate of the survival probability has a strong dependence on the location a of the absorbing boundary, which undergoes a freezing transition at a critical value , where is the self-propulsion speed and γ is the tumbling rate of the particle. For , the value of increases monotonically from zero, as a decreases from infinity, until it attains the maximum value at . For , the value of freezes to the value . We also obtain the propagator with the absorbing boundary condition at x = a. Our analytical results are supported by numerical simulations.

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来源期刊

Journal of Statistical Mechanics: Theory and Experiment 物理-力学

CiteScore

4.50

自引率

12.50%

发文量

210

审稿时长

1.0 months

期刊介绍： JSTAT is targeted to a broad community interested in different aspects of statistical physics, which are roughly defined by the fields represented in the conferences called ''Statistical Physics''. Submissions from experimentalists working on all the topics which have some ''connection to statistical physics are also strongly encouraged. The journal covers different topics which correspond to the following keyword sections. 1. Quantum statistical physics, condensed matter, integrable systems Scientific Directors: Eduardo Fradkin and Giuseppe Mussardo 2. Classical statistical mechanics, equilibrium and non-equilibrium Scientific Directors: David Mukamel, Matteo Marsili and Giuseppe Mussardo 3. Disordered systems, classical and quantum Scientific Directors: Eduardo Fradkin and Riccardo Zecchina 4. Interdisciplinary statistical mechanics Scientific Directors: Matteo Marsili and Riccardo Zecchina 5. Biological modelling and information Scientific Directors: Matteo Marsili, William Bialek and Riccardo Zecchina