具有粒子第一次碰撞瞬间有限矩的电报粒子系统

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2024-12-12 DOI:10.1016/j.chaos.2024.115885

Anatoliy A. Pogorui, Ramón M. Rodríguez-Dagnino

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System of telegraph particles with finite moments of the first collision instant of particles

This paper deals with a system of interacting telegraph particles starting with different positions on a straight line. It is well-known that the instant of the first collision of two telegraph particle, that starts from different points on a line, has an infinite expectation. Our goal is to find a sufficient number of particles of the system such that the minimum of the first collision instants for these particles has finite nth order moments. In particular, finite expectation, finite variance, etc. However, the distribution of this minimum depends on first collisions of all pairs of adjacent particles, and these collisions are dependent random variables, which introduces some difficulties in the analysis.

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.