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We investigate the scaling of the interfacial adsorption of the two-dimensional Blume-Capel model using Monte Carlo simulations. In particular, we study the finite-size scaling behavior of the interfacial adsorption of the pure model at…

Statistical Mechanics · Physics 2020-12-07 Nikolaos G. Fytas , Argyro Mainou , Panagiotis E. Theodorakis , Anastasios Malakis

The transition from the quantum to the classical regime of the nucleation of the closed Robertson-Walker Universe with spacially homogeneous matter fields is investigated with a perturbation expansion around the sphaleron configuration. A…

High Energy Physics - Theory · Physics 2009-10-31 J. -Q. Liang , H. J. W. Mueller-Kirsten , D. K. Park , A. V. Shurgaia

We study an effective model of microscopic facet formation for low temperature three dimensional microscopic Wulff crystals above the droplet condensation threshold. The model we consider is a 2+1 solid on solid surface coupled with high…

Probability · Mathematics 2017-10-12 Dmitry Ioffe , Senya Shlosman

We demonstrate that first-order phase transitions in 1+1-dimensional nonequilibrium systems with fluctuating ordered phases are impossible, provided that there are no additional conservation laws, long-range interactions, macroscopic…

Statistical Mechanics · Physics 2007-05-23 Haye Hinrichsen

First order phase transitions are described in terms of the microcanonical and canonical ensemble, with special attention to finite size effects. Difficulties in interpreting a "caloric curve" are discussed. A robust parameter indicating…

Nuclear Experiment · Physics 2007-05-23 L. G. Moretto , L. Phair , G. J. Wozniak

The first renormalization group map arising from the momentum space decomposition of a weakly coupled system of fermions at temperature zero differs from all subsequent maps. Namely, the component of momentum dual to temperature may be…

Mathematical Physics · Physics 2009-11-07 Joel Feldman , Horst Knoerrer , Eugene Trubowitz

Since the landmark work of Lee and Yang, locating the zeros of the partition function in the complex magnetic-field plane has become a powerful method for studying phase transitions. Fisher later extended this approach to complex…

Statistical Mechanics · Physics 2025-10-21 Leïla Moueddene , Nikolaos G Fytas , Bertrand Berche

We present a detailed study by Monte Carlo simulations and finite-size scaling analysis of the phase diagram and ordered bulk phases for the three-dimensional Blume-Capel antiferromagnet in the space of temperature and magnetic and crystal…

Statistical Mechanics · Physics 2023-08-15 Daniel Silva , Gloria M. Buendia , Per Arne Rikvold

We examine a model in which a nonequilibrium phase transition from an active to an extinct state is observed. The order of this phase transition has been shown to be either continuous or first-order, depending on the parameter values and…

Statistical Mechanics · Physics 2009-11-13 Alastair Windus , Henrik Jeldtoft Jensen

We present a general, rigorous theory of Lee-Yang zeros for models with first-order phase transitions that admit convergent contour expansions. We derive formulas for the positions and the density of the zeros. In particular, we show that…

Mathematical Physics · Physics 2009-10-31 Marek Biskup , Christian Borgs , Jennifer T. Chayes , Logan J. Kleinwaks , Roman Kotecky

Discrete lattice simulations of an one-dimensional phi^4 theory coupled to an external heat bath are being carried out. Great care is taken to remove the effects of lattice discreteness and finite size and to establish the correct…

High Energy Physics - Lattice · Physics 2008-02-03 Hans-Reinhard Mueller

We calculate the grand canonical partition function at the one-loop level for scalar quantum electrodynamics at finite temperature and chemical potential. A classical background charge density with a charge opposite that of the scalars…

High Energy Physics - Theory · Physics 2010-12-15 Rachel A. Rosen

We consider the effect of droplet excitations in the random first order transition theory of glasses on the configurational entropy. The contribution of these excitations is estimated both at and above the ideal glass transition…

Statistical Mechanics · Physics 2009-11-07 M. P. Eastwood , P. G. Wolynes

The phase transition in the XY model on one-dimensional small-world networks is investigated by means of Monte-Carlo simulations. It is found that long-range order is present at finite temperatures, even for very small values of the…

Statistical Mechanics · Physics 2007-05-23 Beom Jun Kim , H. Hong , Petter Holme , Gun Sang Jeon , Petter Minnhagen , M. Y. Choi

Previous study of properties of the first-order phase transition in a set of plasma mod-els with common feature - absence of individual correlations between charges of opposite sign, was continued. Predicted discontinuities in equilibrium…

Plasma Physics · Physics 2009-02-16 I. L. Iosilevski , A. Yu. Chigvintsev

First order phase transitions in finite systems can be defined through the bimodality of the distribution of the order parameter. This definition is equivalent to the one based on the inverted curvature of the thermodynamic potential.…

Statistical Mechanics · Physics 2015-06-24 Ph. Chomaz , F. Gulminelli

We study metastability and nucleation for the Blume-Capel model: a ferromagnetic nearest neighbour two-dimensional lattice system with spin variables taking values in -1,0,+1. We consider large but finite volume, small fixed magnetic field…

High Energy Physics - Theory · Physics 2009-10-28 Emilio N. M. Cirillo , Enzo Olivieri

We present a numerical study of the Blume-Capel model with quenched disorder in 3D. The phase diagram is characterized by spin-glass/paramagnet phase transitions of both first and second order in the thermodynamic sense. Numerical…

Disordered Systems and Neural Networks · Physics 2015-05-19 L. Leuzzi , M. Paoluzzi , A. Crisanti

If the electroweak sector of the standard model is described by classically conformal dynamics, the early Universe evolution can be substantially altered. It is already known that---contrarily to the standard model case---a first order…

High Energy Physics - Phenomenology · Physics 2017-10-11 Satoshi Iso , Pasquale D. Serpico , Kengo Shimada

We study the thermodynamic properties of the three-dimensional Blume-Capel model on the simple cubic lattice by means of computer simulations. In particular, we implement a parallelized variant of the multicanonical approach and perform…

Statistical Mechanics · Physics 2015-03-19 Johannes Zierenberg , Nikolaos G. Fytas , Wolfhard Janke