Statistics of paths on graphs with two heavy roots
Statistical Mechanics
2023-02-14 v1
Abstract
The paper considers the behaviour of the number of paths of length on graphs with two heavy roots. Such vertices can be entropic traps. Numerical analysis is carried out for graphs with different degrees of root vertices. In the symmetric case, a numerical analysis of the number of paths is performed. It is found that localisation is observed with the same ratio of vertex degrees as in the case of a single root. An analysis of the entropy forces of interaction was also carried out for two roots.
Cite
@article{arxiv.2302.05876,
title = {Statistics of paths on graphs with two heavy roots},
author = {Z. D. Matyushina},
journal= {arXiv preprint arXiv:2302.05876},
year = {2023}
}
Comments
9 pages, 5 figures