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Related papers: Magnetisation and mean field theory in the Ising m…

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A model for single-domain uniaxial ferromagnetic particles with high anisotropy, the Ising model, is studied. Recent experimental observations have been made of the probability that the magnetization has not switched. Here an approach is…

Materials Science · Physics 2009-10-30 M. A. Novotny , M. Kolesik , P. A. Rikvold

We investigate the ground state and the thermal entanglement in the two-qubit Ising model interacting with a site-dependent magnetic field. The degree of entanglement is measured by calculating the concurrence. For zero temperature and for…

Quantum Physics · Physics 2009-11-10 Andreas F. Terzis , Emmanuel Paspalakis

The phase behavior of a large but finite Ising ferromagnet in the presence of competing surface magnetic fields +/- H_s is studied by Monte Carlo simulations and by phenomenological theory. Specifically, the geometry of a double pyramid of…

Statistical Mechanics · Physics 2009-11-11 A. Milchev , M. Mueller , K. Binder

An important aspect of real ferromagnetic particles is the demagnetizing field resulting from magnetostatic dipole-dipole interaction, which causes large particles to break up into domains. Sufficiently small particles, however, remain…

Condensed Matter · Physics 2008-12-18 Howard L. Richards , Mark A. Novotny , Per Arne Rikvold

Many real systems comprised of a large number of interacting components, as for instance neural networks , may exhibit collective periodic behavior even though single components have no natural tendency to behave periodically. Macroscopic…

Statistical Mechanics · Physics 2016-11-02 Francesca Collet , Marco Formentin , Daniele Tovazzi

We consider a bipartite mean-field model in which both the interaction constant and the external field take different values only depending on the groups particles belong to. We compute the exact value of the thermodynamic limit of the…

Mathematical Physics · Physics 2015-06-04 Micaela Fedele , Francesco Unguendoli

We investigate the spin-induced polarization in the multiferroic compound Ba2CuGe2O7 using variarional and finite temperature mean field approaches. The compound is described by a spin-3/2 Heisenberg model extended with easy plane…

Strongly Correlated Electrons · Physics 2012-02-21 Judit Romhanyi , Miklos Lajko , Karlo Penc

A theory of the magnetic field driven (semi-)metal-insulator phase transition is developed for planar systems with a low density of carriers and a linear (i.e., relativistic like) dispersion relation for low energy quasiparticles. The…

Condensed Matter · Physics 2009-11-07 E. V. Gorbar , V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

The effect of edge on wetting and layering transitions of a three-dimensional spin-1/2 Ising model is investigated, in the presence of longitudinal and surface magnetic fields, using mean field (MF) theory and Monte Carlo (MC) simulations.…

Soft Condensed Matter · Physics 2009-11-07 L. Bahmad , A. Benyoussef , H. Ez-Zahraouy

In the paper a study of a model magnetoelastic solid system is presented. The system of interest is a mean-field magnet with nearest-neighbour ferromagnetic interactions and the underlying s.c. crystalline lattice with the long-range Morse…

Statistical Mechanics · Physics 2017-09-15 K. Szałowski , T. Balcerzak , M. Jaščur

We perform a duality transformation that allows one to express the partition function of the d-dimensional Ising model with random nearest neighbor coupling in terms of new spin variables defined on the square plaquettes of the lattice. The…

Condensed Matter · Physics 2009-10-28 M. Serva , G. Paladin , J. Raboanary

Using the approach developed in \cite{REFVIC2}, we succeeded in reconstructing the behaviour of the antiferromagnetic Ising model with imaginary magnetic field $i\theta$ for two and three dimensions in the low temperature regime. A…

High Energy Physics - Lattice · Physics 2011-11-28 Vicente Azcoiti , Eduardo Follana , Alejandro Vaquero

The scaling limit of the two-dimensional Ising model in the plane of temperature and magnetic field defines a field theory which provides the simplest illustration of non-trivial phenomena such as spontaneous symmetry breaking and…

High Energy Physics - Theory · Physics 2007-05-23 Gesualdo Delfino

A dimer mean-field model for the Ising spin-glass is presented. Despite its simplicity it captures some of the essential features of the spin-glass physics. The distribution of the single-spin magnetization is determined from a…

Disordered Systems and Neural Networks · Physics 2009-12-16 Yonatan Dubi , Massimiliano Di Ventra

The ferromagnetic Ising model is a model of a magnetic material and a central topic in statistical physics. It also plays a starring role in the algorithmic study of approximate counting: approximating the partition function of the…

Data Structures and Algorithms · Computer Science 2021-11-05 Charlie Carlson , Ewan Davies , Alexandra Kolla , Will Perkins

This article reproduces the Karl Schwarzschild lecture 2013. Some of the basic ideas of electrodynamics and magnetohydrodynamics of mean fields in turbulently moving conducting fluids are explained. It is stressed that the connection of the…

Solar and Stellar Astrophysics · Physics 2014-02-27 K. -H. Rädler

The effect of the zero centered Gaussian random magnetic field distribution on the phase diagrams and ground state magnetizations of the transverse Ising thin film has been investigated. As a formulation, the differential operator technique…

Statistical Mechanics · Physics 2016-08-14 Ümit Akıncı

Multiscale phenomena which include several processes occuring simultaneously at different length scales and exchanging energy with each other, are widespread in magnetism. These phenomena often govern the magnetization reversal dynamics,…

Materials Science · Physics 2009-10-31 V. V. Dobrovitski , M. I. Katsnelson , B. N. Harmon

Finite-size scaling functions are investigated both for the mean-square magnetization fluctuations and for the probability distribution of the magnetization in the one-dimensional Ising model. The scaling functions are evaluated in the…

Statistical Mechanics · Physics 2009-11-10 T. Antal , M. Droz , Z. Racz

Within the framework of mean field theory, we examine the phase transitions in Ising magnetic films and superlattices. By transfer matrix method, we derive two general nonlinear equations for phase transition temperatures of Ising magnetic…

Materials Science · Physics 2009-10-31 Xiao-Guang Wang , Shao-Hua Pan , Guo-Zhen Yang