The reptation Monte Carlo algorithm is a simple, physically motivated and efficient method for equilibrating semidilute solutions of linear polymers. Here, we propose two simple generalizations for the analog Amoeba algorithm for randomly branching chains, which allow us to efficiently deal with random trees with controlled branching activity. We analyze the rich relaxation dynamics of Amoeba algorithms and demonstrate the existence of an unexpected scaling regime for the tree relaxation. Our results suggest that the equilibration time for Amoeba algorithms scales in general like N2⁢⟨nlin⟩delta, where N denotes the number of tree nodes, ⟨nlin⟩ the mean number of linear segments the trees are composed of, and delta≃0.4.

Amoeba Monte Carlo algorithms for random trees with controlled branching activity: Efficient trial move generation and universal dynamics / van der Hoek, Pieter H. W.; Rosa, Angelo; Everaers, Ralf. - In: PHYSICAL REVIEW. E. - ISSN 2470-0045. - 110:4(2024). [10.1103/physreve.110.045312]

Amoeba Monte Carlo algorithms for random trees with controlled branching activity: Efficient trial move generation and universal dynamics

Rosa, Angelo
Membro del Collaboration group
;
Everaers, Ralf
Membro del Collaboration group
2024-01-01

Abstract

The reptation Monte Carlo algorithm is a simple, physically motivated and efficient method for equilibrating semidilute solutions of linear polymers. Here, we propose two simple generalizations for the analog Amoeba algorithm for randomly branching chains, which allow us to efficiently deal with random trees with controlled branching activity. We analyze the rich relaxation dynamics of Amoeba algorithms and demonstrate the existence of an unexpected scaling regime for the tree relaxation. Our results suggest that the equilibration time for Amoeba algorithms scales in general like N2⁢⟨nlin⟩delta, where N denotes the number of tree nodes, ⟨nlin⟩ the mean number of linear segments the trees are composed of, and delta≃0.4.
2024
110
4
045312
https://arxiv.org/abs/2406.19547
van der Hoek, Pieter H. W.; Rosa, Angelo; Everaers, Ralf
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/142359
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