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Because of the extreme purity, lack of disorder, and complex order parameter, the first-order superfluid $^3$He A-B transition is the leading model system for first order transitions in the early universe. Here we report on the path…

We study the one-dimensional deformed $t-t^{\prime}-J$ model in terms of the continuum field theories. We found that at low doping concentration and far away from the phase separation regime, there are two phases: the Luttinger liquid and…

Strongly Correlated Electrons · Physics 2015-06-24 Yu-Wen Lee , Yu-Li Lee

Multicanonical ensemble sampling simulations have been performed to calculate the phase diagram of a Lennard-Jones fluid embedded in a fractal random matrix generated through diffusion limited cluster aggregation. The study of the system at…

Statistical Mechanics · Physics 2015-06-25 V. De Grandis , P. Gallo , M. Rovere

The Frenkel line, a crossover line between rigid and nonrigid dynamics of fluid particles, has recently been the subject of intense debate regarding its relevance as a partitioning line of supercritical phase, where the main criticism comes…

Statistical Mechanics · Physics 2018-08-02 Tae Jun Yoon , Min Young Ha , Won Bo Lee , Youn-Woo Lee

To understand ultrasonic cavitation, it is imperative to analyze the effects of the gas-liquid phase transitions on soundwave propagation. Since current methods based on fluid dynamics offer limited information, it is imperative to carry…

Fluid Dynamics · Physics 2021-12-15 Yuta Asano , Hiroshi Watanabe , Hiroshi Noguchi

In a recent paper [S. Khrapak, Molecules {\bf 25}, 3498 (2000)] the longitudinal and transverse sound velocities of conventional Lennard-Jones systems at the liquid-solid coexistence were calculated. It was shown that the sound velocities…

Soft Condensed Matter · Physics 2021-10-19 Sergey Khrapak

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,…

Soft Condensed Matter · Physics 2023-08-04 Yoshihiko Nishikawa , Werner Krauth , A. C. Maggs

Recently the supercooled Wahnstrom binary Lennard-Jones mixture was partially crystallized into ${\rm MgZn_2}$ phase crystals in lengthy Molecular Dynamics simulations. We present Molecular Dynamics simulations of a modified Kob-Andersen…

Soft Condensed Matter · Physics 2012-10-01 Søren Toxvaerd , Ulf R. Pedersen , Thomas B. Schrøder , Jeppe C. Dyre

In this paper we propose a thermodynamically consistent model for superfluid-normal phase transition in liquid helium, accounting for variations of temperature and density. The phase transition is described by means of an order parameter,…

Mathematical Physics · Physics 2015-06-12 Alessia Berti , Valeria Berti

Systems with global symmetry group O(2) experience topological transition in the 2-dimensional space. But there is controversy about such a transition for systems with global symmetry group O(3). In this paper, we study the Lebwohl-Lasher…

Statistical Mechanics · Physics 2008-08-25 Ricardo Paredes , Ana-Isabel Fariñas-Sánchez , Robert Botet

We analyze particle number fluctuations in the crossover region near the critical endpoint of a first-order phase transition by utilizing molecular dynamics simulations of the classical Lennard-Jones fluid. We extend our previous study…

Nuclear Theory · Physics 2024-07-22 Volodymyr A. Kuznietsov , Mark I. Gorenstein , Volker Koch , Volodymyr Vovchenko

Liquid crystals in two dimensions do not support long-ranged nematic order, but a quasi-nematic phase where the orientational correlations decay algebraically is possible. The transition from the isotropic to the quasi-nematic phase can be…

Statistical Mechanics · Physics 2014-12-30 Richard L. C. Vink

First principles molecular dynamics simulations reveal a liquid-liquid phase transition in supercooled elemental silicon. Two phases coexist below $T_c\approx 1232K$. The low density phase is nearly tetra-coordinated, with a pseudogap at…

Materials Science · Physics 2009-11-13 P. Ganesh , M. Widom

The local order units of dense simple liquid are typically three dimensional (close packed) clusters: hcp, fcc and icosahedrons. We show that the fluid demonstrates the superstable tetrahedral local order up to temperatures several orders…

Disordered Systems and Neural Networks · Physics 2014-02-05 R. E. Ryltsev , N. M. Chtchelkatchev

We introduce a model of water contemplating true supercooled-liquid states that, as such, are metastable with respect to the crystalline-solid ones. Its numerical solutions reproduce from Speedy-Angell's stability-limit picture to Poole et…

Statistical Mechanics · Physics 2026-05-26 Jacobo Troncoso , Claudio A. Cerdeiriña

Results for the kinetics of vapor-liquid phase transition have been presented from the molecular dynamics simulations of a single component two-dimensional Lennard-Jones fluid. The phase diagram for the model, primary prerequisite for this…

Soft Condensed Matter · Physics 2017-03-08 Jiarul Midya , Subir K. Das

The distinctive characteristics of water, evident in its thermodynamic anomalies, have implications across disciplines from biology to geophysics. Considered a valid hypothesis to rationalize its unique properties, a liquid-liquid phase…

Soft Condensed Matter · Physics 2025-12-08 Maria Grazia Izzo , John Russo , Giorgio Pastore

We consider the liquid-vapor type phase transition for fluids confined within spatially periodic external fields. For a fluid in d=3 dimensions, the periodic field induces an additional phase, characterized by large density modulations…

Statistical Mechanics · Physics 2015-03-19 Richard L. C. Vink , A. J. Archer

Molecular dynamics simulations of miscible and partially miscible binary Lennard--Jones mixtures are used to study the dynamics and thermodynamics of vapor condensation onto a non-volatile liquid drop in the canonical ensemble. When the…

Soft Condensed Matter · Physics 2015-06-17 Levent Inci , Richard. K. Bowles

We consider the liquid-gas phase boundary in a binary fluid mixture near its critical end point. Using general scaling arguments we show that the diameter of the liquid-gas coexistence curve exhibits singular behaviour as the critical end…

Statistical Mechanics · Physics 2016-08-31 Nigel B. Wilding