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Semiconductor artificial graphene nanostructures where Hubbard model parameter $U/t$ can be of the order of 100, provide a highly controllable platform to study strongly correlated quantum many-particle phases. We use accurate variational…

Mesoscale and Nanoscale Physics · Physics 2023-11-01 Gökhan Öztarhan , E. Bulut Kul , Emre Okcu , A. D. Güçlü

Traditionally, phase transitions are defined in the thermodynamic limit only. We discuss how phase transitions of first order (with phase separation and surface tension), continuous transitions and (multi)-critical points can be seen and…

Statistical Mechanics · Physics 2015-06-25 D. H. E. Gross , E. Votyakov

A phase-separation front will leave in its wake a phase-separated morphology that differs markedly from homogeneous phase-separation morphologies. For a purely diffusive system such a front, moving with constant velocity, will generate very…

Soft Condensed Matter · Physics 2013-05-30 E. M. Foard , A. J. Wagner

Using an interface displacement model derived from a microscopic density functional theory we investigate thin liquidlike wetting layers adsorbed on flat substrates with an embedded chemical heterogeneity forming a stripe. For a wide range…

Soft Condensed Matter · Physics 2009-10-31 C. Bauer , S. Dietrich , A. O. Parry

It is difficult to derive the solid--fluid transition from microscopic models. We introduce particle systems whose potentials do not decay with distance and calculate their partition function exactly using a method similar to that for…

Statistical Mechanics · Physics 2015-09-04 Hisato Komatsu

We found that Bidirectional LSTM and Transformer can classify different phases of condensed matter models and determine the phase transition points by learning features in the Monte Carlo raw data before equilibrium. Our method can…

Strongly Correlated Electrons · Physics 2022-09-15 Jiewei Ding , Ho-Kin Tang , Wing Chi Yu

In this paper we consider a class of (2+1)D schematic models with four-fermion interactions that are effectively used in studying condensed-matter systems with planar crystal structure, and especially graphene. Symmetry breaking in these…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 D. Ebert , K. G. Klimenko , P. B. Kolmakov , V. Ch. Zhukovsky

The Topological Hypothesis states that phase transitions should be related to changes in the topology of configuration space. The necessity of such changes has already been demonstrated. We characterize exactly the topology of the…

Statistical Mechanics · Physics 2007-05-23 S. Risau-Gusman , A. C. Ribeiro-Teixeira , D. A. Stariolo

We investigate the phase diagram of a two-component associating fluid mixture in the presence of selectively adsorbing substrates. The mixture is characterized by a bulk phase diagram which displays peculiar features such as closed loops of…

Statistical Mechanics · Physics 2009-11-07 J. M. Romero-Enrique , L. F. Rull , U. Marini Bettolo Marconi

Simulations of nematic-isotropic transition of liquid crystals in two dimensions are performed using an O(2) vector model characterised by non linear nearest neighbour spin interaction governed by the fourth Legendre polynomial $P\_4$. The…

Statistical Mechanics · Physics 2016-08-16 Ana Fariñas-Sanchez , Ricardo Paredes , Bertrand Berche

We study a three matrix model with global SO(3) symmetry containing at most quartic powers of the matrices. We find an exotic line of discontinuous transitions with a jump in the entropy, characteristic of a 1st order transition, yet with…

High Energy Physics - Theory · Physics 2008-11-26 Rodrigo Delgadillo-Blando , Denjoe O'Connor , Badis Ydri

Simulations of wetting phenomena by a meshfree particle method are presented. The incompressible Navier-Stokes equations are used to model the two-phase flow. The continuous surface force model is used to incorporate the surface tension…

Numerical Analysis · Mathematics 2014-06-19 Sudarshan Tiwari , Axel Klar , Steffen Hardt

Continuum models of plasticity fail to capture the richness of microstructural evolution because the continuum is a homogeneous construction. The present study shows that an alternative way is available at the mesoscale in the form of truly…

Materials Science · Physics 2025-10-01 Afonso D. M. Barroso , Elijah Borodin , Andrey P. Jivkov

Tethering methods allow us to perform Monte Carlo simulations in ensembles with conserved quantities. Specifically, one couples a reservoir to the physical magnitude of interest, and studies the statistical ensemble where the total…

Statistical Mechanics · Physics 2011-08-29 V. Martin-Mayor , B. Seoane , D. Yllanes

The phase diagram of a system of monodispersed hard rectangles of size $m\times m k$ on a square lattice is numerically determined for $m=2,3$ and aspect ratio $k= 1,2,\ldots, 7$. We show the existence of a disordered phase, a nematic phase…

Statistical Mechanics · Physics 2014-05-19 Joyjit Kundu , R. Rajesh

In a system of interacting thin rigid rods of equal length $2 \ell$ on a two-dimensional grid of lattice spacing $a$, we show that there are multiple phase transitions as the coupling strength $\kappa=\ell/a$ and the temperature are varied.…

Statistical Mechanics · Physics 2022-11-23 Juliane U. Klamser , Tridib Sadhu , Deepak Dhar

Phase transitions in a modified Nishimori model, including the model considered by Kitatani, on a two-dimensional square lattice are investigated using a tensor-network-based sampling scheme. In this model, generating bond configurations is…

Disordered Systems and Neural Networks · Physics 2026-03-20 Takumi Oshima , Yamato Arai , Koji Hukushima

We present a new method for investigating first-order phase transitions using Monte Carlo simulations. It relies on the multiple-histogram method and uses solely histograms of individual phases. In addition, we extend the method to include…

adap-org · Physics 2009-10-28 Martin Ebeling , Walter Nadler

We study two types of generalized Baxter-Wu models, by means of transfer-matrix and Monte Carlo techniques. The first generalization allows for different couplings in the up- and down triangles, and the second generalization is to a…

Statistical Mechanics · Physics 2010-03-19 Youjin Deng , Wenan Guo , Jouke R. Heringa , Henk W. J. Blöte , Bernard Nienhuis

We consider non-equilibrium phenomena in a very simple model that displays a zero-temperature first-order phase transition. The quantum Ising model with a four-spin exchange is adopted as a general representative of first-order quantum…

Strongly Correlated Electrons · Physics 2016-03-30 Lorenzo Del Re , Michele Fabrizio , Erio Tosatti