Dynamics of random chains of finite size with an infinite number of elements in $ {\mathbb R}^{2}$

TL;DR

This paper investigates the behavior of finite chains with infinitely many elements in a 2D space, deriving an equation to determine the probability distribution of the chain's length, extending previous work in the field.

Contribution

It introduces a new equation for the probability distribution of chain length in finite chains with infinite components, advancing the understanding of such systems.

Findings

Derived an equation for the probability distribution of chain length

Analyzed the dynamics of finite chains with infinite components in 2D

Extended previous research on chain dynamics

Abstract

This article studies the dynamics of a finite chain with infinite components. The equation which permits us to find the probability distribution of the chain length is constructed and analysed. This research is a continuation of paper \cite{1}.