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Related papers: Non-equilibrium Relaxation Analysis on Two-dimensi…

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We elucidate the interplay between diverse two-dimensional melting pathways and establish solid/hexatic and hexatic/liquid transition criteria via the numerical simulations of the melting transition of two- and three-component mixtures of…

Soft Condensed Matter · Physics 2023-07-05 Yan-Wei Li , Yugui Yao , Massimo Pica Ciamarra

We investigate the dynamics of electrons in the vicinity of the Anderson transition in $d=3$ dimensions. Using the exact eigenstates from a numerical diagonalization, a number of quantities related to the critical behavior of the diffusion…

Condensed Matter · Physics 2007-05-23 Tobias Brandes , Bodo Huckestein , Ludwig Schweitzer

For two-dimensional many-particle systems first-order, second-order, single step continuous, as well as two-step continuous (KTHNY-like) melting transitions have been found in previous studies. Recent computer simulations, using particle…

Materials Science · Physics 2014-06-23 Aranka Derzsi , Kovács Anikó Zsuzsa , Zoltán Donkó , Peter Hartmann

This paper investigates the asymptotic behavior of a hyperbolic relaxation system designed for homogeneous two-phase flows in the limit of vanishing relaxation time. The governing equations comprise conservation laws for mixture mass and…

Analysis of PDEs · Mathematics 2026-03-19 Huimin Yu

We present a functional renormalization group calculation of the properties of a quantum critical metal in $d=2$ spatial dimensions. Our theory describes a general class of Pomeranchuk instabilities with $N_b$ flavors of boson. At small…

Strongly Correlated Electrons · Physics 2018-12-05 Matthew J. Trott , Chris A. Hooley

Despite about forty years of investigations, the nature of the melting transition in two dimensions is not completely clear. In the framework of the most popular Berezinskii-Kosterlitz-Thouless-Halperin-Nelson-Young (BKTHNY) theory, 2D…

Soft Condensed Matter · Physics 2017-10-11 E. N. Tsiok , Yu. D. Fomin , V. N. Ryzhov

Using video-microscopy data of a two-dimensional colloidal system the bond-order correlation function G6 is calculated and used to determine the temperature-dependence of both the orientational correlation length xi6 in the isotropic liquid…

Soft Condensed Matter · Physics 2012-10-26 P. Keim , G. Maret , H. H. von Gruenberg

A molecular dynamics study of a two dimensional system of particles interacting through a Lennard-Jones pairwise potential is performed at fixed temperature and vanishing external pressure. As the temperature is increased, a solid-to-liquid…

Statistical Mechanics · Physics 2015-05-27 Daniel Asenjo , Fernando Lund , Simón Poblete , Rodrigo Soto , Marcos Sotomayor

Pole-skipping offers compelling evidence for the hydrodynamic origin of chaotic behavior in strongly coupled quantum systems. We demonstrate that the cumulative effect of higher-order corrections to the hydrodynamic diffusive mode, captured…

High Energy Physics - Theory · Physics 2025-05-21 Hyun-Sik Jeong

We investigate phase transitions in the nonequilibrium dynamics of power-law interacting spin-1/2 bilayer XXZ models, which have recently been shown to allow generation of entanglement in the form of two-mode squeezing. We find a transition…

Quantum Physics · Physics 2025-12-11 Arman Duha , S. E. Begg , Thomas Bilitewski

The thermodynamic model of ultrathin lubricant film melting, confined between two atomically-flat solid surfaces, is built using the Landau phase transition approach. Non-equilibrium entropy is introduced describing the part of thermal…

Statistical Mechanics · Physics 2015-03-13 L. S. Metlov , A. V. Khomenko , I. A. Lyashenko

In the context of relativistic heavy-ion collisions, we explore the stochastic and dissipative relaxational dynamics of a non-conserved order parameter in a $\lambda\varphi^4$ interaction. The cutoff of the theory is provided by the lattice…

The off-equilibrium purely dissipative dynamics (Model A) of the O(N) vector model is considered at criticality in an $\epsilon = 4- d > 0$ up to O($\epsilon^2$). The scaling behavior of two-time response and correlation functions at zero…

Statistical Mechanics · Physics 2011-07-19 Pasquale Calabrese , Andrea Gambassi

We study the critical relaxation of the two-dimensional Ising model from a fully ordered configuration by series expansion in time t and by Monte Carlo simulation. Both the magnetization (m) and energy series are obtained up to 12-th order.…

Statistical Mechanics · Physics 2009-10-30 Jian-Sheng Wang , Chee Kwan Gan

We study the off-equilibrium two-point critical response and correlation functions for the relaxational dynamics with a coupling to a conserved density (Model C) of the O(N) vector model. They are determined in an \epsilon=4-d expansion for…

Statistical Mechanics · Physics 2009-11-07 Pasquale Calabrese , Andrea Gambassi

The melting transition of two-dimensional (2D) systems is a fundamental problem in condensed matter and statistical physics that has advanced significantly through the application of computational resources and algorithms. 2D systems…

Soft Condensed Matter · Physics 2017-04-12 Joshua A. Anderson , James Antonaglia , Jaime A. Millan , Michael Engel , Sharon C. Glotzer

A pure fluid at its critical point shows a dramatic slow-down in its dynamics, due to a divergence of the order-parameter susceptibility and the coefficient of heat transport. Under isothermal conditions, however, sound waves provide the…

Statistical Mechanics · Physics 2015-03-20 Markus Gross , Fathollah Varnik

The real-time dynamics of chiral phase transition is investigated in a two-flavor ($N_f=2$) soft-wall AdS/QCD model. To understand the dynamics of thermalization, we quench the system from initial states deviating from the equilibrium…

High Energy Physics - Phenomenology · Physics 2023-04-19 Xuanmin Cao , Jingyi Chao , Hui Liu , Danning Li

We report on a computer simulation study of a Lennard-Jones liquid confined in a narrow slit pore with tunable attractive walls. In order to investigate how freezing in this system occurs, we perform an analysis using different order…

Soft Condensed Matter · Physics 2015-05-27 N. Gribova , A. Arnold , T. Schilling , C. Holm

We study the far-from-equilibrium dynamics of a (2+1)-dimensional superfluid at finite temperature and chemical potential using its holographic description in terms of a gravitational system in 3+1 dimensions. Starting from various initial…

High Energy Physics - Theory · Physics 2015-06-11 Carlo Ewerz , Thomas Gasenzer , Markus Karl , Andreas Samberg
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