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Related papers: First-order transition in Potts models with "invis…

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We investigate critical properties of the stacked-$J_1$-$J_2$ Ising model on a cubic lattice. Using Monte Carlo simulations and renormalization group, we find a single phase transition of the first order for $J_2/J_1>1/2$. The renormgroup…

Strongly Correlated Electrons · Physics 2022-06-22 A. O. Sorokin

We show that the dynamics of kinetically constrained models of glass formers takes place at a first-order coexistence line between active and inactive dynamical phases. We prove this by computing the large-deviation functions of suitable…

Statistical Mechanics · Physics 2009-11-13 J. P. Garrahan , R. L. Jack , V. Lecomte , E. Pitard , K. van Duijvendijk , F. van Wijland

We consider magnetic friction between two systems of $q$-state Potts spins which are moving along their boundaries with a relative constant velocity $v$. Due to the interaction between the surface spins there is a permanent energy flow and…

Statistical Mechanics · Physics 2011-04-15 Ferenc Igloi , Michel Pleimling , Loic Turban

Large-scale Monte Carlo simulations of the bond-diluted three-dimensional 4-state Potts model are performed. The phase diagram and the physical properties at the phase transitions are studied using finite-size scaling techniques. Evidences…

Statistical Mechanics · Physics 2007-05-23 Christophe Chatelain , Bertrand Berche , Wolfhard Janke , Pierre-Emmanuel Berche

We introduce and analyze an exactly soluble one-dimensional Ising model with long range interactions which exhibits a mixed order transition (MOT), namely a phase transition in which the order parameter is discontinuous as in first order…

Statistical Mechanics · Physics 2013-12-03 Amir Bar , David Mukamel

Recently, Lipowski [cond-mat/0002378] investigated a stochastic lattice model which exhibits a discontinuous transition from an active phase into infinitely many absorbing states. Since the transition is accompanied by an apparent power-law…

Statistical Mechanics · Physics 2009-10-31 Haye Hinrichsen

The Random First Order Transition (RFOT) theory started with the pioneering work of Kirkpatrick, Thirumalai and Wolynes. It leverages the methods and advances of the theory of disordered systems. It fares remarkably well at reproducing the…

Disordered Systems and Neural Networks · Physics 2022-08-12 Giulio Biroli , Jean-Philippe Bouchaud

The effects of competing quadrupolar- and spin-glass orderings are investigated on a spin-1 Ising model with infinite-range random $p$-spin interactions. The model is studied through the replica approach and a phase diagram is obtained in…

Statistical Mechanics · Physics 2009-10-31 J. M. de Araujo , F. A. da Costa , F. D. Nobre

We investigate numerically and analytically Potts models on ``thin'' random graphs -- generic Feynman diagrams, using the idea that such models may be expressed as the N --> 1 limit of a matrix model. The thin random graphs in this limit…

High Energy Physics - Lattice · Physics 2008-11-26 D. A. Johnston , P. Plechac

Matter exhibits phases and their transitions. These transitions are classified as first-order phase transitions (FOPTs) and continuous ones. While the latter has a well-established theory of the renormalization group, the former is only…

Statistical Mechanics · Physics 2017-04-12 Fan Zhong

First-order phase transitions, characterized by a discontinuous change in the order parameter, are intriguing phenomena in condensed matter physics. However, the underlying, material-specific, microscopic mechanisms often remain unclear.…

The small-world transition is a first-order transition at zero density $p$ of shortcuts, whereby the normalized shortest-path distance undergoes a discontinuity in the thermodynamic limit. On finite systems the apparent transition is…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Argollo de Menezes , C. Moukarzel , T. J. P. Penna

The nature of the metal-insulator Mott transition at zero temperature has been discussed for a number of years. Whether it occurs through a quantum critical point or through a first order transition is expected to profoundly influence the…

Strongly Correlated Electrons · Physics 2009-01-26 Matthias Balzer , Bumsoo Kyung , David Sénéchal , A. -M. S. Tremblay , Michael Potthoff

Although partition functions of finite-size systems are always analytic, and hence have no poles, they can be expressed in many cases as series containing terms with poles. Here we show that such poles can be related to linear branches of…

Statistical Mechanics · Physics 2010-03-29 H. Touchette , R. J. Harris , J. Tailleur

First-order phase transitions are characterized by a discontinuous first derivative of the Gibbs free energy, so that volumes and entropies are discontinuous. Such transitions are common in the crystalline state, but extremely rare in…

Materials Science · Physics 2017-09-29 Laura Henry , Mohamed Mezouar , Gaston Garbarino , David Sifré , Gunnar Weck , Frederic Datchi

Machine-learning (ML) models trained on Ising spin configurations have demonstrated surprising effectiveness in classifying phases of Potts models, even when processing severely reduced representations that retain only two spin states. To…

Statistical Mechanics · Physics 2026-01-16 Yi-Lun Du , Nan Su , Konrad Tywoniuk

Understanding structural glasses using the Random First Order Transition theory requires a description in both real space and in time, taking into account sample history. A variety of nonlinear objects enter this description, in field…

Disordered Systems and Neural Networks · Physics 2022-06-02 Peter G. Wolynes

We employ Monte Carlo simulations to study a generalized three-dimensional complex $psi|^4 theory of Ginzburg-Landau form and compare our numerical results with a recent quasi-analytical mean-field type approximation, which predicts…

Statistical Mechanics · Physics 2009-11-11 Elmar Bittner , Wolfhard Janke

We have studied numerically the effect of quenched site dilution on a first order phase transition in three dimensions. We have simulated the site diluted three states Potts model studying in detail the second order region of its phase…

Statistical Mechanics · Physics 2009-10-31 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe , G. Parisi , J. J. Ruiz-Lorenzo

The properties of the first-order phase transition in a set of plasma models with common feature - absence of individual correlations between charges of op-posite sign, have been studied. Predicted discontinuities in equilibrium non-uniform…

Plasma Physics · Physics 2007-05-23 Igor L. Iosilevski , Alexander Yu. Chigvintsev