在谐波阱中具有有限翻滚时间的奔跑和翻滚粒子的精确力矩。

IF 2.4 3区物理与天体物理 Q1 Mathematics

Physical review. E Pub Date : 2025-04-01 DOI:10.1103/PhysRevE.111.044136

Aoran Sun, Fangfu Ye, Rudolf Podgornik

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引用次数: 0

摘要

本文利用运动方程的直接积分，研究了在有限运动时间的谐波阱中运动和翻滚的粒子问题。得到了精确的一维稳态分布。导出了图解定律和可编程Volterra差分方程，用于计算任意维数的任意阶矩，既适用于稳态，也适用于中间态的时间拉普拉斯变换。最后通过考虑相应测度的高斯正交和高阶矩的标度规律，推导出矩的完全分布。

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Exact moments for a run-and-tumble particle with a finite tumble time in a harmonic trap.

We study the problem of a run-and-tumble particle in a harmonic trap, with a finite run-and-tumble time, by direct integration of the equation of motion. An exact one-dimensional steady state distribution is obtained. Diagram laws and a programmable Volterra difference equation are derived to calculate any order of moments in any dimension, both for the steady state as well as the time Laplace transform for the intermediate states. We finally infer the complete distribution from the moments by considering a Gaussian quadrature for the corresponding measure and from the scaling law of higher order moments.

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来源期刊

Physical review. E 物理-物理：流体与等离子体

CiteScore

4.60

自引率

16.70%

发文量

审稿时长

3.3 months

期刊介绍： Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.