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Finite size scaling for a first order phase transition where a continuous symmetry is broken is developed using an approximation of Gaussian probability distributions with a phenomenological "degeneracy" factor included. Predictions are…

Computational Physics · Physics 2019-03-27 Jiahao Xu , Shan-Ho Tsai , D. P. Landau , K. Binder

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

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

In the canonical formalism of statistical physics, a signature of a first order phase transition for finite systems is the bimodal distribution of an order parameter. Previous thermodynamical studies of nuclear sources produced in heavy-ion…

The renormalization group method, more specifically the Wegner-Houghton equation, is used to find first order phase transitions in a simple scalar field theory with a polynomial potential. An improved definition of the running parameters…

High Energy Physics - Theory · Physics 2024-05-21 S. Nagy , J. Polonyi

The first-order irreversible phase transition (FOIPT) of the ZGB model [Ziff, Gulari, Barshad, Phys. Rev. Lett. \textbf{56} (1986) 2553] for the catalytic oxidation of carbon monoxide is studied numerically in the presence of a slowly…

Statistical Mechanics · Physics 2026-01-01 Ernesto S. Loscar

The first-order phase transition in the one-dimensional $q$-state Potts model with long-range interactions decaying with distance as $1/r^{1+\sigma}$ has been studied by Monte Carlo numerical simulations for $0 < \sigma \le 1$ and integer…

Statistical Mechanics · Physics 2007-05-23 K. Uzelac , Z. Glumac

We investigate theoretically and experimentally a first-order dissipative phase transition, with diffusive boundary conditions and the ability to tune the spatial dimension of the system. The considered physical system is a planar…

Other Condensed Matter · Physics 2022-03-02 Z. Li , F. Claude , T. Boulier , E. Giacobino , Q. Glorieux , A. Bramati , C. Ciuti

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

Some phase transitions of cosmological interest may be weakly first-order and cannot be analyzed by a simple perturbative expansion around mean field theory. We propose a simple two-scalar model--the cubic anisotropy model--as a foil for…

High Energy Physics - Phenomenology · Physics 2016-09-06 Peter Arnold , Stephen R. Sharpe , Laurence G. Yaffe , Yan Zhang

We studied interplay between kinetic roughening and phase ordering in 1+1 dimensional single-step solid-on-solid growth model with two kinds of particles and Ising-like interaction. Evolution of both geometrical and compositional properties…

Statistical Mechanics · Physics 2009-10-30 Miroslav Kotrla , Milan Predota

Two types of surface models have been investigated by Monte Carlo simulations on triangulated spheres with compartmentalized domains. Both models are found to undergo a first-order collapsing transition and a first-order surface fluctuation…

Statistical Mechanics · Physics 2007-07-24 Hiroshi Koibuchi

We re-examine a population model which exhibits a continuous absorbing phase transition which belongs to directed percolation in 1+1 dimensions and a first order transition in 2+1 dimensions and above. Studying the model on fractal…

Statistical Mechanics · Physics 2015-05-13 Alastair L Windus , Henrik Jeldtoft Jensen

If there is a first-order phase transition in the light quark region of 2+1-flavor finite temperature and density QCD and if the region of the first-order phase transition expands with increasing density as suggested by several studies,…

High Energy Physics - Lattice · Physics 2025-02-03 Shinji Ejiri

We consider an off-lattice liquid crystal pair potential in strictly two dimensions. The potential is purely repulsive and short-ranged. Nevertheless, by means of a single parameter in the potential, the system is shown to undergo a…

Soft Condensed Matter · Physics 2012-07-17 H. H. Wensink , R. L. C. Vink

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 the dynamics of a first order transition when the order parameter field undergoes resonant oscillations, driven by a periodically varying parameter of the free energy. This parameter could be a background oscillating field as…

Condensed Matter · Physics 2009-11-07 Rajarshi Ray , Soma Sanyal , Ajit M. Srivastava

The steady states of the two-species (positive and negative particles) asymmetric exclusion model of Evans, Foster, Godreche and Mukamel are studied using Monte Carlo simulations. We show that mean-field theory does not give the correct…

Statistical Mechanics · Physics 2009-10-30 Peter F. Arndt , Thomas Heinzel , Vladimir Rittenberg

We present experimental evidence for a first-order freezing/melting phase transition in a nonequilibrium system -- an oscillated two-dimensional isobaric granular fluid. The steady-state transition occurs between a gas and a crystal and is…

Soft Condensed Matter · Physics 2007-05-23 M. D. Shattuck

A gas-liquid type of phase transition is found based on the particle dynamics on radius-$R$ circle in which the coordinate appears as the angle-variable of 1D XY-model. Due to the specific appearance of compact-space radius (volume) in the…

Statistical Mechanics · Physics 2019-12-06 Amir H. Fatollahi