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Main Authors: Maillard, Lune, Finocchi, Fabio, Godinho, César, Trassinelli, Martino
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2501.11370
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author Maillard, Lune
Finocchi, Fabio
Godinho, César
Trassinelli, Martino
author_facet Maillard, Lune
Finocchi, Fabio
Godinho, César
Trassinelli, Martino
contents Lennard-Jones clusters, while an easy system, have a significant number of non equivalent configurations that increases rapidly with the number of atoms in the cluster. Here, we aim at determining the cluster partition function; we use the nested sampling algorithm, which transforms the multidimensional integral into a one-dimensional one, to perform this task. In particular, we use the nested_fit program, which implements slice sampling as search algorithm. We study here the 7-atom and 36-atom clusters to benchmark nested_fit for the exploration of potential energy surfaces. We find that nested_fit is able to recover phase transitions and find different stable configurations of the cluster. Furthermore, the implementation of the slice sampling algorithm has a clear impact on the computational cost.
format Preprint
id arxiv_https___arxiv_org_abs_2501_11370
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nested Sampling for Exploring Lennard-Jones Clusters
Maillard, Lune
Finocchi, Fabio
Godinho, César
Trassinelli, Martino
Computational Physics
Lennard-Jones clusters, while an easy system, have a significant number of non equivalent configurations that increases rapidly with the number of atoms in the cluster. Here, we aim at determining the cluster partition function; we use the nested sampling algorithm, which transforms the multidimensional integral into a one-dimensional one, to perform this task. In particular, we use the nested_fit program, which implements slice sampling as search algorithm. We study here the 7-atom and 36-atom clusters to benchmark nested_fit for the exploration of potential energy surfaces. We find that nested_fit is able to recover phase transitions and find different stable configurations of the cluster. Furthermore, the implementation of the slice sampling algorithm has a clear impact on the computational cost.
title Nested Sampling for Exploring Lennard-Jones Clusters
topic Computational Physics
url https://arxiv.org/abs/2501.11370