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We study finite-temperature phase transitions in a two-dimensional boson Hubbard model with zero-point quantum fluctuations via Monte Carlo simulations of quantum rotor model, and construct the corresponding phase diagram. Compressibility…

Strongly Correlated Electrons · Physics 2009-11-13 Min-Chul Cha , Ji-Woo Lee

We study phase transitions in the thermodynamic description of Pomeau-Manneville intermittent maps from the point of view of infinite ergodic theory, which deals with diverging measure dynamical systems. For such systems, we use a…

Statistical Mechanics · Physics 2012-08-28 Roberto Venegeroles

An asymmetric generalization of the zero-temperature q-state Potts model on a one dimensional lattice, with and without boundaries, has been studied. The dynamics of the particle number, and specially the large time behavior of the system…

Condensed Matter · Physics 2009-11-07 N. Majd , A. Aghamohammadi , M. Khorrami

In a system of interacting thin rigid rods of equal length $2 \ell$ on a two-dimensional grid of lattice spacing $a$, we show that there are multiple phase transitions as the coupling strength $\kappa=\ell/a$ and the temperature are varied.…

Statistical Mechanics · Physics 2022-11-23 Juliane U. Klamser , Tridib Sadhu , Deepak Dhar

While classical theory of phase transitions deals with systems where shape variation is energetically neutral, the account of rigidity can lead to the emergence of new thermodynamic features. One of them is a special type of critical points…

Materials Science · Physics 2024-04-18 Yury Grabovsky , Lev Truskinovsky

A brief survey of the theoretical, numerical and experimental studies of the random field Ising model during last three decades is given. Nature of the phase transition in the three-dimensional RFIM with Gaussian random fields is discussed.…

Disordered Systems and Neural Networks · Physics 2009-11-13 Victor Dotsenko

The paper is devoted to a study of phase transitions in the Hermitian random matrix models with a polynomial potential. In an alternative equivalent language, we study families of equilibrium measures on the real line in a polynomial…

Classical Analysis and ODEs · Mathematics 2014-10-28 A. Martinez-Finkelshtein , R. Orive , E. A. Rakhmanov

We have previously studied properties of a one-dimensional potential with $N$ equally spaced identical barriers in a (fixed) finite interval for both finite and infinite $N$. It was observed that scattering and spectral properties depend…

Quantum Physics · Physics 2009-11-07 D. Bar , L. P. Horwitz

A theoretical study on low-temperature structural phase transitions is presented, in which both phonon-like and relaxation order-parameter dynamics are contemplated. While the first limiting case has been considered previously, the second…

Statistical Mechanics · Physics 2009-11-10 A. Cano , A. P. Levanyuk

Thermodynamical properties of an interacting boson system at finite temperatures and zero chemical potential are studied within the framework of the Skyrme-like mean-field toy model. It is assumed that the mean field contains both…

Nuclear Theory · Physics 2019-02-20 D. Anchishkin , I. Mishustin , H. Stoecker

We explore the phase diagram for potentials in the space of H\"older continuous functions of a given exponent and for the dynamical system generated by a Pomeau--Manneville, or intermittent, map. There is always a phase where the unique…

Dynamical Systems · Mathematics 2025-04-11 Daniel Coronel , Juan Rivera-Letelier

The nature of the Abelian Higgs Model phase transition is investigated. A variational approximation is used in the evaluation of the relevant finite temperature effective potential. Some of the results presented are valid not only in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Amelino-Camelia

We review different aspects of field theory at zero and finite temperature, related to the theory of phase transitions. We discuss different renormalization conditions for the effective potential at zero temperature, emphasizing in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mariano Quiros

We show that, in general, any complex weakly nonlinear highly multimode system can reach thermodynamic equilibrium that is characterized by a unique temperature and chemical potential. The conditions leading to either positive or negative…

The geometrical approach to phase transitions is illustrated by simulating the high-temperature representation of the Ising model on a square lattice.

Statistical Mechanics · Physics 2009-11-10 Wolfhard Janke , Adriaan M. J. Schakel

Using a Ginzburg-Landau model, we study the phase transition behavior of compressible Ising systems at constant volume by varying the temperature $T$ and the applied magnetic field $h$. We show that two phases can coexist macroscopically in…

Materials Science · Physics 2009-11-13 Akira Onuki , Akihiko Minami

The formalism used in describing the thermodynamics of abrupt (or first-order) phase transitions is reviewed as an application of maximum entropy inference. In this treatment, we show that the concepts of transition temperature, latent heat…

Statistical Mechanics · Physics 2016-08-01 Sergio Davis , Joaquín Peralta , Yasmín Navarrete , Diego González , Gonzalo Gutiérrez

In this chapter the recent theoretical work on phase transition in imbalanced fermion superfluids is reviewed. The imbalanced systems are those in which the two fermionic species candidate to form pairing have different Fermi surfaces or…

Superconductivity · Physics 2007-05-23 Heron Caldas

We construct two spin models on lattices (both two and three-dimensional) to study the capability of quantum computational power as a function of temperature and the system parameter. There exists a finite region in the phase diagram such…

Quantum Physics · Physics 2014-05-19 Tzu-Chieh Wei , Ying Li , Leong Chuan Kwek

In the variational approach to statistical mechanics, equilibrium states are the rigorous analogues of thermodynamic phases; the question of which invariant measures can arise as equilibrium states is therefore the question of which phases…

Dynamical Systems · Mathematics 2026-04-14 C. Evans Hedges