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A Venturi Effect Can Help Cure Our Trees
Published on: October 1, 2013
Configurational entropy of random trees
Pieter H W van der Hoek1, Angelo Rosa1, Ralf Everaers2
1Scuola Internazionale Superiore di Studi Avanzati, SISSA - , Via Bonomea 265, 34136 Trieste, Italy.
None:
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.
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