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Condensed Matter > Statistical Mechanics
Title: Statistics of paths on graphs with two heavy roots
(Submitted on 12 Feb 2023)
Abstract: The paper considers the behaviour of the number of paths of length $N$ 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.
Submission history
From: Zinaida Matyushina [view email][v1] Sun, 12 Feb 2023 09:14:58 GMT (132kb,D)
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