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Main Authors: Wagner, Susanne, Kahl, Gerhard, Melnyk, Roman, Baumketner, Andrij
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2403.17194
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author Wagner, Susanne
Kahl, Gerhard
Melnyk, Roman
Baumketner, Andrij
author_facet Wagner, Susanne
Kahl, Gerhard
Melnyk, Roman
Baumketner, Andrij
contents Among lattice configurations of densely packed hard ellipses, Monte Carlo simulations are used to identify the so-called parallel and diagonal lattices as the two favourable states. The free energies of these two states are computed for several system sizes employing the Einstein Crystal method. An accurate calculation of the free energy difference between the two states reveals the parallel lattice as the state with lowest free energy. The origin of the entropic difference between the two states is further elucidated by assessing the roles of the translational and rotational degrees of freedom.
format Preprint
id arxiv_https___arxiv_org_abs_2403_17194
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the Lattice Ground State of Densely Packed Hard Ellipses
Wagner, Susanne
Kahl, Gerhard
Melnyk, Roman
Baumketner, Andrij
Soft Condensed Matter
Statistical Mechanics
Computational Physics
Among lattice configurations of densely packed hard ellipses, Monte Carlo simulations are used to identify the so-called parallel and diagonal lattices as the two favourable states. The free energies of these two states are computed for several system sizes employing the Einstein Crystal method. An accurate calculation of the free energy difference between the two states reveals the parallel lattice as the state with lowest free energy. The origin of the entropic difference between the two states is further elucidated by assessing the roles of the translational and rotational degrees of freedom.
title On the Lattice Ground State of Densely Packed Hard Ellipses
topic Soft Condensed Matter
Statistical Mechanics
Computational Physics
url https://arxiv.org/abs/2403.17194