The configurational entropy of random trees
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917114763280384 |
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| author | van der Hoek, Pieter H. W. Rosa, Angelo Everaers, Ralf |
| author_facet | van der Hoek, Pieter H. W. Rosa, Angelo Everaers, Ralf |
| contents | We present a graph theoretical approach to the configurational statistics of random tree-like objects, such as randomly branching polymers. In particular, for ideal trees we show that Prüfer labelling 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_13364 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The configurational entropy of random trees van der Hoek, Pieter H. W. Rosa, Angelo Everaers, Ralf Statistical Mechanics Soft Condensed Matter We present a graph theoretical approach to the configurational statistics of random tree-like objects, such as randomly branching polymers. In particular, for ideal trees we show that Prüfer labelling 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. |
| title | The configurational entropy of random trees |
| topic | Statistical Mechanics Soft Condensed Matter |
| url | https://arxiv.org/abs/2504.13364 |