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We propose a method of describing a phase transition in a cell fluid model with pair interaction potential that includes repulsive and attractive parts. An exact representation of the grand partition function of this model is obtained in…

Statistical Mechanics · Physics 2017-06-23 M. P. Kozlovskii , O. A. Dobush

The $2$-star model is the simplest exponential random graph model that displays complex behavior, such as degeneracy and phase transition. Despite its importance, this model has been solved only in the regime of dense connectivity. In this…

Disordered Systems and Neural Networks · Physics 2015-09-02 Alessia Annibale , Owen T Courtney

We study a model initially proposed to describe a mixture of (CO) and (N2) adsorbed on exfoliated graphite. The approach used here is that of mean field theory. The Mean Field equations and the Helmholtz Free Energy are found. Phase…

Condensed Matter · Physics 2007-05-23 R. P. B. Santos

Bose condensed light can form new phases [1] in a dye filled cavity due to the presence of the orientational disorder created by dye molecules which are essentially frozen on the time scale of the photonic thermalization (few ps). At longer…

Quantum Gases · Physics 2020-05-06 Victor Fleurov , Anatoly B. Kuklov

We study a scenario for the very early universe in which there is a fast phase transition from a non-geometric, high temperature phase to a low temperature, geometric phase described by a classical solution to the Einstein equations. In…

Astrophysics · Physics 2008-11-26 Joao Magueijo , Lee Smolin , Carlo R. Contaldi

We use the dynamical mean-field method to determine the origin of the large ratio of the zero temperature gap to the transition temperature observed in most charge density wave materials. The method is useful because it allows an exact…

Strongly Correlated Electrons · Physics 2009-10-31 S. Blawid , A. J. Millis

We report on a fully self-consistent determination of a phase transition to a superconducting state in a conserving approximation. The transition temperature calculated for a two-dimensional Hubbard model with an attractive interaction in…

Superconductivity · Physics 2009-10-30 J. J. Deisz , D. W. Hess , J. W. Serene

In this paper we will consider the contact process in a very simple type of random environment that physicists call the random dilution model. We start with the contact process on a graph, here either $\mathbb{Z}^d$, a $d$-dimensional torus…

Probability · Mathematics 2025-06-02 Rick Durrett

We have investigated the phase transition and disoriented chiral condensate domain formation in linear sigma model. Solving the equation of motion for the sigma model fields in contact with a heat bath, we have shown that the fields undergo…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. K. Chaudhuri

The interaction between itinerant and Mott localized electronic states in strongly correlated materials is studied within dynamical mean field theory in combination with the numerical renormalization group method. A novel nonmagnetic zero…

Strongly Correlated Electrons · Physics 2011-11-10 T. A. Costi , A. Liebsch

We propose a new analytic approach to study the phase diagram of random heteropolymers, based on the cavity method. For copolymers we analyze the nature and phenomenology of the glass transition as a function of sequence correlations.…

Disordered Systems and Neural Networks · Physics 2009-11-10 A. Montanari , M. Mueller , M. Mezard

The finite-temperature phase diagram of the attractive Hubbard model is studied by means of the Dynamical Mean Field Theory. We first consider the normal phase of the model by explicitly frustrating the superconducting ordering. In this…

Superconductivity · Physics 2007-08-07 A. Toschi , P. Barone , M. Capone , C. Castellani

Phase transition in the two-dimensional $q$-state Potts model with random ferromagnetic couplings in the large-q limit is conjectured to be described by the isotropic version of the infinite randomness fixed point of the random…

Statistical Mechanics · Physics 2007-05-23 J-Ch. Angles d'Auriac , F. Igloi

We present a study of the coloring problem (antiferromagnetic Potts model) of random regular graphs, submitted to quantum fluctuations induced by a transverse field, using the quantum cavity method and quantum Monte-Carlo simulations. We…

Statistical Mechanics · Physics 2013-04-23 Victor Bapst , Guilhem Semerjian , Francesco Zamponi

The phase transitions of random-field q-state Potts models in d=3 dimensions are studied by renormalization-group theory by exact solution of a hierarchical lattice and, equivalently, approximate Migdal-Kadanoff solutions of a cubic…

Statistical Mechanics · Physics 2021-09-15 Alpar Turkoglu , A. Nihat Berker

We explore the phase structure of a holographic toy model of superfluid states in non-relativistic conformal field theories. At low background mass density, we find a familiar second-order transition to a superfluid phase at finite…

High Energy Physics - Theory · Physics 2015-03-19 Allan Adams , Juven Wang

The microstructure of snow determines its fundamental properties such as the mechanical strength, reflectivity, or the thermo-hydraulic properties. Snow undergoes continuous microstructural changes due to local gradients in temperature,…

Fluid Dynamics · Physics 2024-08-01 Adrian Moure , Xiaojing Fu

We present a theoretical study aimed to elucidate the origin of the inverse symmetry breaking transition observed in ultrathin magnetic films with perpendicular anisotropy. We study the behavior of the dipolar frustrated Ising model in a…

Statistical Mechanics · Physics 2015-03-20 Luciana Araújo Velasque , Daniel A. Stariolo , Orlando V. Billoni

The observational signatures of multi-field inflation will generally evolve as the Universe reheats. We introduce a general analytic formalism for tracking this evolution through perturbative reheating, applicable to two field models with…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-28 Joseph Elliston , Stefano Orani , David J. Mulryne

The zero temperature, or quantum, metal-superconductor phase transition is studied in disordered systems in dimension greater than two. A effective local field theory is developed that keeps all soft modes or fluctuations explicitly. A…

Superconductivity · Physics 2009-11-10 Lubo Zhou , T. R. Kirkpatrick