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Phase transitions of first and second order can easily be distinguished in small systems in the microcanonical ensemble. Configurations of phase coexistence, which are suppressed in the canonical formulation, carry important information…

Condensed Matter · Physics 2007-05-23 D. H. E. Gross , A. Ecker , X. Z. Zhang

We experimentally investigate the nature of 2D phase transitions in a quasi-2D granular fluid. Using a surface decorated with periodically spaced dimples we observe interfacial tension between coexisting liquid and crystal phases.…

Soft Condensed Matter · Physics 2022-01-05 J. G. Downs , N. D. Smith , K. K. Mandadapu , J. P. Garrahan , M. I. Smith

The influence of uncorrelated, quenched disorder on the phase transition of two dimensional Potts models will be reviewed. After an introduction where the conditions of relevance of quenched randomness on phase transitions are exemplified…

Disordered Systems and Neural Networks · Physics 2007-05-23 Bertrand Berche , Christophe Chatelain

Using large-scale numerical simulations we studied the kinetics of the 2d q-Potts model for q > 4 after a shallow subcritical quench from a high-temperature homogeneous configuration. This protocol drives the system across a first-order…

Statistical Mechanics · Physics 2019-06-25 Federico Corberi , Leticia F Cugliandolo , Marco Esposito , Marco Picco

We introduce an interface model with q-fold symmetry to study the nonequilibrium phase transition (NPT) from an active to an inactive state at the bottom layer. In the model, q different species of particles are deposited or are evaporated…

Statistical Mechanics · Physics 2007-05-23 B. Kahng , S. Park

We investigate the influence of aperiodic modulations of the exchange interactions between nearest-neighbour rows on the phase transition of the two-dimensional eight-state Potts model. The systems are studied numerically through intensive…

Statistical Mechanics · Physics 2009-10-31 Christophe Chatelain , Pierre Emmanuel Berche , Bertrand Berche

The dynamics at the critical-point of a general first-order quantum phase transition in a finite system is examined, from an algebraic perspective. Suitable Hamiltonians are constructed whose spectra exhibit coexistence of states…

Nuclear Theory · Physics 2014-11-18 A. Leviatan

We study first-order phase transitions in continuum Gibbs point processes with saturated interactions. These interactions form a broad class of Hamiltonians in which the local energy in regions of high particle density depends only on the…

Probability · Mathematics 2026-02-12 David Dereudre , Christopher Renaud-Chan

The objective of this paper is to study the formation of defects in a non equilibrium second order phase transition by means of a numerical solution of the full dynamical equations, and to compare the results with theoretical predictions to…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Ibaceta , E. Calzetta

We study the off-equilibrium behavior of systems with short-range interactions driven across a thermal first-order transition, where the dynamics is exponentially slow. We consider a dynamics that starts in the high-T phase at time t =…

Statistical Mechanics · Physics 2017-01-25 Andrea Pelissetto , Ettore Vicari

We propose a class of models exhibiting instanton crystal phase. In this phase, the minimum of the free energy corresponds to a configuration with an imaginary-time-dependent order parameter in a form of a chain of alternating instantons…

Strongly Correlated Electrons · Physics 2021-02-17 Grigory A. Starkov , Konstantin B. Efetov

The dynamics of the 2D Potts ferromagnet when quenched below the transition temperature is investigated in the case of discontinuous phase transition, which is interesting for understandingthe non equilibrium dynamics of systems with many…

Statistical Mechanics · Physics 2013-01-30 Alberto Petri , Miguel Ibanez de Berganza , Vittorio Loreto

Our study of the basic model for incompressible two-phase flows with phase transitions consistent with thermodynamics [10,11,12,16] is extended to the case of temperature-dependent surface tension. We prove well-posedness in an Lp-setting,…

Analysis of PDEs · Mathematics 2014-05-23 Jan Pruess , Senjo Shimizu , Gieri Simonett , Mathias Wilke

In systems displaying a bulk first-order transition the order parameter may vanish continuously at a free surface, a phenomenon which is called surface-induced disorder. In the presence of surface-induced disorder the correlation lengths,…

Statistical Mechanics · Physics 2007-05-23 L. Turban , F. Igloi

We have calculated the large-$q$ series of the energy cumulants, the magnetization cumulants and the correlation length at the first order phase transition point both in the ordered and disordered phases for the $q$-state Potts model in two…

High Energy Physics - Lattice · Physics 2017-08-23 H. Arisue , K. Tabata

Fluctuation effects at first order phase transitions driven by changes of other-than-temperature factors like pressure, concentration, or external fields are investigated by perturbation theory. The results for the fluctuation contributions…

Statistical Mechanics · Physics 2017-01-10 Dimo I. Uzunov

We study the non-equilibrium steady states that emerge when two interacting three-dimensional Potts blocks slide on each other. As at equilibrium the Potts model exhibits different types of phase transitions for different numbers $q$ of…

Statistical Mechanics · Physics 2016-04-22 Linjun Li , Michel Pleimling

We examine the order of the phase transition in the Potts model by using the graph representation for the partition function, which allows treating a non-integer number of Potts states. The order of transition is determined by the analysis…

Statistical Mechanics · Physics 2009-10-31 Zvonko Glumac , Katarina Uzelac

The investigation of the first-order quantum phase transition (QPT) is far from clarity in comparison to that of the second-order or continuous QPT, in which the order parameter and associated broken symmetry can be clearly identified and…

Statistical Mechanics · Physics 2025-11-07 Yun-Tong Yang , Hong-Gang Luo

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