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We consider the Microcanonical Variational Principle for the vortex system in a bounded domain. In particular we are interested in the thermodynamic properties of the system in domains of second kind, i.e. for which the equivalence of…

Mathematical Physics · Physics 2023-12-27 Dario Benedetto , Emanuele Caglioti , Margherita Nolasco

We study a generalization of the two-dimensional transverse-field Ising model, combining both ferromagnetic and antiferromagnetic two-body interactions, that hosts exact global and local Z2 gauge symmetries. Using exact diagonalization and…

Strongly Correlated Electrons · Physics 2021-09-01 Kai-Hsin Wu , Zhi-Cheng Yang , Dmitry Green , Anders W. Sandvik , Claudio Chamon

We study the ferromagnetic Ising model with long-range interactions in two dimensions. We first present results of a Monte Carlo study which shows that the long-range interactions dominate over the short-range ones in the intermediate…

Statistical Mechanics · Physics 2014-07-17 Thibault Blanchard , Marco Picco , M. A. Rajabpour

The high temperature phase of the three dimensional random field Ising model is studied using replica symmetry breaking framework. It is found that, above the ferromagnetic transition temperature T_f, there appears a glassy phase at…

Condensed Matter · Physics 2009-10-22 M. Mezard , R. Monasson

We investigate the relation between various statistical ensembles of finite systems. If ensembles differ at the level of fluctuations of the order parameter, we show that the equations of states can present major differences. A sufficient…

Statistical Mechanics · Physics 2009-11-07 F. Gulminelli , Ph. Chomaz

We discover a first-order phase transition in the canonical ensemble of random unlabeled networks with a prescribed average number of links. The transition is caused by the nonconcavity of microcanonical entropy. Above the critical point…

Statistical Mechanics · Physics 2025-05-21 Oleg Evnin , Dmitri Krioukov

We study the zero temperature phase diagram of Ising spin systems in two dimensions in the presence of competing interactions, long range antiferromagnetic and nearest neighbor ferromagnetic of strength J. We first introduce the notion of a…

Statistical Mechanics · Physics 2013-05-29 Alessandro Giuliani , Joel L. Lebowitz , Elliott H. Lieb

We study the phase transitions in the simplicial Ising model on hypergraphs, in which the energy within each hyperedge (group) is lowered only when all the member spins are unanimously aligned. The Hamiltonian of the model is equivalent to…

Statistical Mechanics · Physics 2024-12-02 Gangmin Son , Deok-Sun Lee , Kwang-Il Goh

We theoretically investigate the itinerant ferromagnetic transition of a spherically trapped ultracold Fermi gas with spin imbalance under strongly repulsive interatomic interactions. Our study is based on a self-consistent solution of the…

Quantum Gases · Physics 2010-08-25 H Dong , Hui Hu , Xia-Ji Liu , Peter D. Drummond

We explore the cooperative behaviour and phase transitions of interacting networks by studying a simplified model consisting of Ising spins placed on the nodes of two coupled Erd\"os-R\'enyi random graphs. We derive analytical expressions…

Statistical Mechanics · Physics 2018-08-27 Maíra Bolfe , Lucas Nicolao , Fernando L. Metz

We present Monte Carlo and Langevin micromagnetic calculations to investigate thermal switching of single-domain ferromagnetic particles. For the Monte Carlo study we place particular emphasis on the probability that the magnetization does…

Materials Science · Physics 2007-05-23 M. A. Novotny , G. Brown , P. A. Rikvold

The classical wave-particle Hamiltonian is considered in its generalized version, where two modes are assumed to interact with the co-evolving charged particles. The equilibrium statistical mechanics solution of the model is worked out…

Statistical Mechanics · Physics 2015-06-18 Tarcísio N. Teles , Duccio Fanelli , Stefano Ruffo

By means of a mean-field model extended to include magnetovolumic effects we study the effect of external fields on the thermal response characterized either by the isothermal entropy change and/or the adiabatic temperature change. The…

Materials Science · Physics 2017-06-15 Eduardo Mendive-Tapia , Teresa Castán

Long-range effects on the pyroelectric coefficient and susceptibility of a ferroelectric bilayer with a ferroelectric interfacial coupling are investigated by use of the transverse Ising model within the framework of mean-field theory. The…

Materials Science · Physics 2009-11-07 Dong-Lai Yao , Yin-Zhong Wu , Wen Dong , Zhen-Ya Li

The main features of a generic boson-fermion scenario for electron pairing in a many-body correlated fermionic system are: i) a cross-over from a poor metal to an insulator and finally a superconductor as the temperature decreases, ii) the…

Superconductivity · Physics 2009-11-10 M. Cuoco , C. Noce , J. Ranninger , A. Romano

We show the presence of a first-order phase transition for a ferromagnetic Ising model on $\mathbb{Z}^2$ with a periodical external magnetic field. The external field takes two values $h$ and $-h$, where $h>0$. The sites associated with…

Mathematical Physics · Physics 2015-10-28 Manuel González-Navarrete , Eugene Pechersky , Anatoly Yambartsev

For the inverse square long-range ferromagnetic Ising chain in a transverse field, the thermal phase boundary of the floating Kosterlitz-Thouless phase is obtained for several values of the transverse field down to the quantum critical…

Statistical Mechanics · Physics 2020-06-30 Stephan Humeniuk

The anisotropic quantum Heisenberg model with Curie-Weiss-type interactions is studied analytically in several variants of the microcanonical ensemble. (Non)equivalence of microcanonical and canonical ensembles is investigated by studying…

Statistical Mechanics · Physics 2014-09-25 Gerrit Olivier , Michael Kastner

Two-dimensional Ising models on the honeycomb lattice and the square lattice with striped random impurities are studied to obtain their phase diagrams. Assuming bimodal distributions of the random impurities where all the non-zero couplings…

Disordered Systems and Neural Networks · Physics 2016-01-11 Satoshi Morita , Sei Suzuki

We consider the random transverse-field Ising model in $d=3$ dimensions with long-range ferromagnetic interactions which decay as a power $\alpha > d$ with the distance. Using a variant of the strong disorder renormalization group method we…

Statistical Mechanics · Physics 2016-06-08 István A. Kovács , Róbert Juhász , Ferenc Iglói
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