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Strongly correlated materials often undergo a Mott metal-insulator transition, which is tipically first-order, as a function of control parameters like pressure. Upon doping, rich phase diagrams with competing instabilities are found. Yet,…

We investigate the equilibrium and off-equilibrium behaviors of systems at thermal first-order transitions (FOTs) when the boundary conditions favor one of the two phases. As a theoretical laboratory we consider the two-dimensional Potts…

High Energy Physics - Lattice · Physics 2018-10-24 Haralambos Panagopoulos , Andrea Pelissetto , Ettore Vicari

We study the applicability of the {\it parallel tempering method} (PT) in the investigation of first- order phase transitions. In this method, replicas of the same system are simulated simultaneously at different temperatures and the…

Statistical Mechanics · Physics 2009-11-13 Carlos E. Fiore

We revisit phase transitions in Twin Higgs (TH) models. We show that strong first-order phase transitions (FOPTs) can occur provided that appropriate source of $\mathbb{Z}_2$ symmetry breaking between the twin and Standard Model (SM)…

High Energy Physics - Phenomenology · Physics 2023-03-22 Marcin Badziak , Ignacy Nałęcz

Potts glasses are prototype models that have been used to understand the structural glass transition. However, in finite space dimensions a glass transition remains to be detected in the 10-state Potts glass. Using a one-dimensional model…

Disordered Systems and Neural Networks · Physics 2012-01-11 Ruben S. Andrist , Derek Larson , Helmut G. Katzgraber

The nature of the finite temperature phase transition of QCD depends on the particle density and the mass of the dynamical quarks. We discuss the properties of the phase transition at high density, considering an effective theory describing…

High Energy Physics - Lattice · Physics 2026-04-23 Shinji Ejiri , Masanari Koiida

It has been proposed (Phys. Rev. E {\bf 71}, 026121 (2005)) that unlike the short range contact process, a long-range counterpart may lead to the existence a discontinuous phase transition in one dimension. Aiming at exploring such link,…

Statistical Mechanics · Physics 2013-06-14 Carlos E. Fiore , Mário J. de Oliveira

We study first- and second-order phase transitions of ferromagnetic lattice models on scale-free networks, with a degree exponent $\gamma$. Using the example of the $q$-state Potts model we derive a general self-consistency relation within…

Statistical Mechanics · Physics 2016-08-16 Ferenc Iglói , Loïc Turban

We have considered the model of the phase transition of the second order for the Coulomb frustrated 2D charged system. The coupling of the order parameter with the charge was considered as the local temperature. We have found that in such…

Strongly Correlated Electrons · Physics 2018-04-04 R. F. Mamin , T. S. Shaposhnikova , V. V. Kabanov

The role of Higgs sector of the standard model in first order phase transition is reexamined.It is found that a solution to the mass gap equations exist which can be used in higher orders. This possible solution leads to a transition which…

High Energy Physics - Phenomenology · Physics 2009-09-25 B. B. Deo , L. Maharana

We present the first detailed numerical study in three dimensions of a first-order phase transition that remains first-order in the presence of quenched disorder (specifically, the ferromagnetic/paramagnetic transition of the site-diluted…

Statistical Mechanics · Physics 2008-02-13 L. A. Fernandez , A. Gordillo-Guerrero , V. Martin-Mayor , J. J. Ruiz-Lorenzo

The Potts model is a generalization of the Ising model with $Q>2$ components. In the fully connected ferromagnetic Potts model, a first-order phase transition is induced by varying thermal fluctuations. Therefore, the computational time…

Quantum Physics · Physics 2022-11-09 Shuntaro Okada , Masayuki Ohzeki , Kazuyuki Tanaka

Using both analytical arguments and detailed numerical evidence we show that the first order transition in the type-I 2D Abelian Higgs model can be understood in terms of the statistical mechanics of vortices, which behave in this regime as…

Condensed Matter · Physics 2013-05-29 Luis M. A. Bettencourt , Greg J. Stephens

We provide numerical evidence for the existence of phase transitions with respect to the temperature in the one-dimensional Riesz gases with non-singular pair interaction, that is particles on the line interacting via the potential…

Statistical Mechanics · Physics 2023-09-19 Rodrigue Lelotte

The three-state Potts model is numerically investigated on three-dimensional simple cubic lattices of up to \(128^3\) volume, concentrating on the neighborhood of the first-order phase transition separating the ordered and disordered…

High Energy Physics - Lattice · Physics 2007-05-23 Shigemi Ohta

We prove the existence of a phase transition in dimension $d>1$ in a continuum particle system interacting with a pair potential containing a modified attractive Kac potential of range $\gamma^{-1}$, with $\gamma>0$. This transition is…

Mathematical Physics · Physics 2025-10-30 Qidong He , Ian Jauslin , Joel Lebowitz , Ron Peled

We consider the thermal phase transition from a paramagnetic to stripe-antiferromagnetic phase in the frustrated two-dimensional square-lattice Ising model with competing interactions J1<0 (nearest neighbor, ferromagnetic) and J2 >0 (second…

Statistical Mechanics · Physics 2013-06-19 Songbo Jin , Arnab Sen , Wenan Guo , Anders W. Sandvik

A first order phase transition leading to deconfinement and chiral restoration is a likely possibility for QCD, at least in some region of the temperature-density plane. A signal for a unique transition is that the order parameters for such…

High Energy Physics - Phenomenology · Physics 2009-10-22 A. Barducci , R. Casalbuoni , G. Pettini , R. Gatto

At first order phase transition the free energy does not have an analytic continuation in the thermodynamical variable, which is conjugate to an order parameter for the transition. This result is proved at low temperature for lattice models…

Statistical Mechanics · Physics 2007-05-23 S. Friedli , Ch. -Ed. Pfister

We study the low-temperature properties of the classical three-dimensional compass or $t_{2g}$ orbital model on simple-cubic lattices by means of comprehensive large-scale Monte Carlo simulations. Our numerical results give evidence for a…

Statistical Mechanics · Physics 2015-01-19 Max H. Gerlach , Wolfhard Janke