%0 Journal Article
%T Liquid--Hexatic Transition for Soft Disks
%+ Laboratoire Charles Coulomb (L2C)
%+ Department of Quantum Engineering and Systems Science, Graduate School of Engineering The University of Tokyo
%+ Systèmes Classiques ou Quantiques en Interaction
%+ Laboratoire de Physico-Chimie Théorique (LPCT)
%+ Gulliver (UMR 7083)
%+ Université Paris Sciences et Lettres (PSL)
%+ Ecole Superieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI Paris)
%A Nishikawa, Yoshihiko
%A Krauth, Werner
%A Maggs, A. C.
%Z 7 pages, 4 figures
%< avec comité de lecture
%@ 2470-0045
%J Physical Review E
%I American Physical Society (APS)
%V 108
%N 2
%P 024103
%8 2023-04-20
%D 2023
%Z 2304.10143
%R 10.1103/PhysRevE.108.024103
%Z Physics [physics]Journal articles
%X We study the liquid--hexatic transition of soft disks with massively parallel simulations and determine the equation of state as a function of system size. For systems with interactions decaying as the inverse $m$th power of the separation, the liquid--hexatic phase transition is continuous for $m = 12$ and $m=8$, while it is of first order for $m = 24$. The critical power $m$ for the transition between continuous and first-order behavior is larger than previously reported. The continuous transition for $ m=12 $ implies that the two-dimensional Lennard-Jones model has a continuous liquid--hexatic transition at high temperatures. We also study the Weeks--Chandler--Andersen model and find a continuous transition at high temperatures, that is consistent with the soft-disk case for $m=12$. Pressure data as well as our implementation are available from an open-source repository.
%G English
%L hal-04076680
%U https://hal.science/hal-04076680
%~ ENS-PARIS
%~ ESPCI
%~ CNRS
%~ PARISTECH
%~ GULLIVER
%~ LPCT
%~ L2C
%~ INC-CNRS
%~ PSL
%~ MIPS
%~ UNIV-MONTPELLIER
%~ SORBONNE-UNIVERSITE
%~ SORBONNE-UNIV
%~ LPENS
%~ UNIV-PARIS
%~ UNIVERSITE-PARIS
%~ UP-SCIENCES
%~ ENS-PSL
%~ ESPCI-PSL
%~ SU-TI
%~ ALLIANCE-SU
%~ UM-2015-2021