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A first order phase transition is found in a model which was introduced originally by Murthy and Shankar [Phys. Rev. B 60, 6517 (1999)] to describe systems of generalised exclusion statistics. I characterise the phase transition in the…

Statistical Mechanics · Physics 2007-11-15 Dragos-Victor Anghel

During preheating after inflation, parametric resonance rapidly generates very large fluctuations of scalar fields. In models where the inflaton field $\phi$ oscillates in a double-well potential and interacts with another scalar field $X$,…

High Energy Physics - Phenomenology · Physics 2009-09-29 S. Khlebnikov , L. Kofman , A. Linde , I. Tkachev

The first-order phase transition in the three-state Potts model with long-range interactions decaying as $1/r^{1+\sigma}$ has been examined by numerical simulations using recently proposed Luijten-Bl\"ote algorithm. By applying scaling…

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

Remarkable feature of new first-order phase transitions of gas-liquid gas-crystal types in combination with traditional solid-liquid transition are under consideration in a modified one-component plasma model (OCP) with uniform, but…

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

The present manuscript gives a theoretical description of the first-order phase transition in a cell fluid model with a modified Morse potential and additional repulsive interaction. In the framework of the grand canonical ensemble, the…

Statistical Mechanics · Physics 2019-12-03 M. P. Kozlovskii , O. A. Dobush

The temperature phase transition in the N-component scalar field theory with spontaneous symmetry breaking is investigated in the perturbative approach. The second Legendre transform is used together with the consideration of the gap…

High Energy Physics - Theory · Physics 2009-09-25 M. Bordag , V. Skalozub

We investigate the thermodynamic properties of the zero-field Blume-Capel model in the vicinity of its tricritical point (TCP). We calculate the quadrupole moment, internal energy, and entropy densities employing an exact numerical…

Statistical Mechanics · Physics 2023-08-23 Mário Rocha-Neto , Gustavo Camelo-Neto , Edvaldo Nogueira-Junior , Sérgio Coutinho

In the ``Type-II'' regime, $m_{\rm Higgs}\gap m_{\rm gauge}$, the finite-temperature phase transition in spontaneously-broken gauge theories (including the standard model) must be be studied using a renormalization group treatment. Previous…

High Energy Physics - Phenomenology · Physics 2009-10-22 John March-Russell

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

We apply a novel method (presented in part I) to solve several small-world models for which the method can be applied analytically: the Viana-Bray model (which can be seen as a 0 or infinite dimensional small-world model), the…

Disordered Systems and Neural Networks · Physics 2008-04-08 M. Ostilli , J. F. F. Mendes

We study first-order electroweak phase transitions nonperturbatively, assuming any particles beyond the Standard Model are sufficiently heavy to be integrated out at the phase transition. Utilising high temperature dimensional reduction, we…

High Energy Physics - Lattice · Physics 2024-10-17 Oliver Gould , Sinan Güyer , Kari Rummukainen

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 estimate the amplitude of thermal fluctuations by calculating the typical size of subcritical bubbles in cosmological electroweak phase transition and show that this thermal fluctuation effect drastically changes dynamics of the phase…

High Energy Physics - Phenomenology · Physics 2016-09-01 Tetsuya Shiromizu , Masahiro Morikawa , Jun'ichi Yokoyama

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 consider the two-dimensional Blume-Capel model with zero chemical potential and small magnetic field evolving on a large but finite torus. We obtain sharp estimates for the transition time, we characterize the set of critical…

Probability · Mathematics 2016-06-29 C. Landim , P. Lemire

This article provides a new theory for the analysis of forward and backward particle approximations of Feynman-Kac models. Such formulae are found in a wide variety of applications and their numerical (particle) approximation are required…

Statistics Theory · Mathematics 2014-11-17 Hock Peng Chan , Pierre Del Moral , Ajay Jasra

The spin-1 ferromagnetic Blume-Capel film with an alternating crystal field $\Delta=\Delta_1$ on the odd layers and $\Delta=\Delta_2$ on the even ones is considered in the mean field approximation. The ground state phase diagrams in the…

Condensed Matter · Physics 2009-11-10 Hamid Ez-Zahraouy , Ahmed Kassou-Ou-Ali

Computer simulations are presented of the isotropic-to-nematic transition in a liquid crystal confined between two parallel plates a distance H apart. The plates are neutral and do not impose any anchoring on the particles. Depending on the…

Statistical Mechanics · Physics 2010-08-20 J. M. Fish , R. L. C. Vink

The characteristics of the hadron-to-quark first-order phase transition differ depending on whether charge neutrality is locally or globally fulfilled. In $\beta$-equilibrated matter, these two possibilities correspond to the Maxwell and…

Nuclear Theory · Physics 2025-12-10 Constantinos Constantinou , Mirco Guerrini , Tianqi Zhao , Sophia Han , Madappa Prakash

In this note we demonstrate the occurrence of first-order transitions in temperature for some recently introduced generalized XY models, and also point out the connection between them and annealed site-diluted (lattice-gas) continuous-spin…

Mathematical Physics · Physics 2009-11-11 Aernout Van Enter , Silvano Romano , Valentin Zagrebnov