Work

Configurational entropy of random trees

Year: 2025

Type: article

Abstract: We present a graph theoretical approach to the configurational statistics of random treelike objects, such as randomly branching polymers. In particular, for ideal trees we show that Prüfer labeling provides (i) direct access to the exact configurational entropy as a function of the tree composition, (ii) computable exact expressions for partition functions and important experimental observables for tree ensembles with controlled branching activity, and (iii) an efficient sampling scheme for corresponding tree configurations and arbitrary static properties.

Source: Physical review. E

DOI: 10.1103/qmv9-1czv

Authors: Pieter H. W. van der Hoek, Angelo Rosa, Ralf Everaers

Institutions: Scuola Internazionale Superiore di Studi Avanzati, École Normale Supérieure de Lyon, Centre National de la Recherche Scientifique, Laboratoire de Physique de l'ENS de Lyon

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: NextGenerationEU

Awards: G1054711258, G1195132563, G4479299991