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The phase spaces of the two- and three-frequency sine-Gordon models are examined in the framework of truncated conformal space approach. The focus is mainly on a tricritical point in the phase space of the three-frequency model. We give…

High Energy Physics - Theory · Physics 2009-11-10 Gabor Zsolt Toth

Mean-field models, while they can be cast into an {\it extensive} thermodynamic formalism, are inherently {\it non additive}. This is the basic feature which leads to {\it ensemble inequivalence} in these models. In this paper we study the…

Statistical Mechanics · Physics 2007-05-23 Julien Barre' , David Mukamel , Stefano Ruffo

Site diluted spin-1/2 Ising and spin-1 Blume Capel (BC) models in the presence of transverse field interactions are examined by introducing an effective-field approximation that takes into account the multi-site correlations in the cluster…

Statistical Mechanics · Physics 2011-11-15 Ümit Akıncı , Yusuf Yüksel , Hamza Polat

$k$-core percolation is a percolation model which gives a notion of network functionality and has many applications in network science. In analysing the resilience of a network under random damage, an extension of this model is introduced,…

Disordered Systems and Neural Networks · Physics 2013-02-22 Davide Cellai , Aonghus Lawlor , Kenneth A. Dawson , James P. Gleeson

Magnetic-field-induced phase transitions are investigated in the frustrated gapped quantum paramagnet Rb$_{2}$Cu$_{2}$Mo$_3$O$_{12}$ through dielectric and calorimetric measurements on single-crystal samples. It is clarified that the…

Strongly Correlated Electrons · Physics 2021-07-19 S. Hayashida , L. Huberich , D. Flavián , Z. Yan , K. Yu. Povarov , S. Gvasaliya , A. Zheludev

The crystallographic restriction theorem constrains two-dimensional nematicity to display either Ising ($Z_{2}$) or three-state-Potts ($Z_{3}$) critical behaviors, both of which are dominated by amplitude fluctuations. Here, we use group…

Strongly Correlated Electrons · Physics 2025-09-15 Virginia Gali , Matthias Hecker , Rafael M. Fernandes

We present a mean-field study of caloric effects driven by primary and secondary fields near tricritical points, which are fields thermodynamically conjugated to the main and secondary order parameters, respectively. General features, such…

Materials Science · Physics 2024-06-10 Eduardo Mendive-Tapia , Antoni Planes

In this work, we revisited the Ziff-Gulari-Barshad (ZGB) model to study its phase transitions and critical exponents through time-dependent Monte Carlo simulations. We used a method proposed recently to locate the non-equilibrium…

Statistical Mechanics · Physics 2016-08-31 Henrique A. Fernandes , Roberto da Silva , Eder D. Santos , Paulo F. Gomes , Everaldo Arashiro

The phase diagram of a system with two order parameters, with ${\it n_1}$ and $n_2$ components, respectively, contains two phases, in which these order parameters are non-zero. Experimentally and numerically, these phases are often…

Statistical Mechanics · Physics 2023-05-23 A. Kudlis , A. Aharony , O. Entin-Wohlman

We use a self-consistent Ornstein-Zernike approximation to study the Blume-Capel ferromagnet on three-dimensional lattices. The correlation functions and the thermodynamics are obtained from the solution of two coupled partial differential…

Statistical Mechanics · Physics 2009-10-31 S. Grollau , E. Kierlik , M. L. Rosinberg , G. Tarjus

On the phase diagram of a system undergoing a continuous phase transition of the second order, three lines, hyper-surfaces, convergent into the critical point feature prominently: the ordered and disordered phases in the thermodynamic…

Statistical Mechanics · Physics 2013-07-16 A. Kashuba

The generalized decoration-iteration transformation is adapted for the exact study of a coupled spin-electron model on 2D lattices in which localized Ising spins reside on nodal lattice sites and mobile electrons are delocalized over pairs…

Strongly Correlated Electrons · Physics 2017-06-30 Hana Čenčariková , Jozef Strečka , Marcelo L. Lyra

There is presented a phenomenological description of phase diagram of ferromagnet superconductor URhGe. In frame of the Landau phenomenological theory it was found that phase transition between anisotropic ferromagnetic and paramagnetic…

Superconductivity · Physics 2015-06-23 V. P. Mineev

Linked cluster expansions are generalized from an infinite to a finite volume. They are performed to 20th order in the expansion parameter to approach the critical region from the symmetric phase. A new criterion is proposed to distinguish…

High Energy Physics - Lattice · Physics 2009-10-28 H. Meyer-Ortmanns , T. Reisz

The phase diagram of the spin-3/2 Blume-Capel model in two dimensions is explored by conventional finite-size scaling, conformal invariance and Monte Carlo simulations. The model in its $\tau$-continuum Hamiltonian version is also…

Statistical Mechanics · Physics 2009-10-31 J. C. Xavier , F. C. Alcaraz , D. Pena Lara , J. A. Plascak

We apply a combination of numerical renormalization group (NRG) and renormalized perturbation theory (RPT) to a model of two quantum dots (impurities) described by two Anderson impurity models hybridized to their respective baths. The dots…

Strongly Correlated Electrons · Physics 2015-06-11 Y. Nishikawa , D. J. G. Crow , A. C. Hewson

We consider the critical behavior associated with incommensurate unidirectional charge-density-wave ordering in a weakly orthorhombic system subject to uniaxial strain as an experimentally significant example of $U(1)\times U(1)$…

Statistical Mechanics · Physics 2023-11-21 Steven A. Kivelson , Akshat Pandey , Anisha G. Singh , Aharon Kapitulnik , Ian R. Fisher

The time evolution of the extremely diluted Blume-Emery-Griffiths neural network model is studied, and a detailed equilibrium phase diagram is obtained exhibiting pattern retrieval, fluctuation retrieval and self-sustained activity phases.…

Statistical Mechanics · Physics 2009-11-07 D. Bolle' , D. R. C. Dominguez , R. Erichsen , E. Korutcheva , W. K. Theumann

We investigate the dynamical stability and phase transition behavior in a holographic superfluid model incorporating higher-order self-interaction terms $\lambda |\psi|^4$, $\tau|\psi|^6$, and a non-minimal coupling…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Zi-Qiang Zhao , Mei-Ling Yan , Zhang-Yu Nie , Jing-Fei Zhang , Xin Zhang

The random-energy model is studied in the presence of random fields. The problem is solved exactly both in the microcanonical ensemble, without recourse to the replica method, and in the canonical ensemble using the replica formalism. The…

Statistical Mechanics · Physics 2009-11-11 Luiz O. de Oliveira Filho , Francisco Alexandre da Costa , Carlos S. O. Yokoi