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We investigate the dynamical critical behavior of the two- and three-dimensional Ising model with Glauber dynamics in equilibrium. In contrast to the usual standing, we focus on the mean-squared deviation of the magnetization $M$, MSD$_M$,…

Statistical Mechanics · Physics 2023-09-22 Zihua Liu , Erol Vatansever , Gerard T. Barkema , Nikolaos G. Fytas

The Ising model in the presence of a random field is investigated within the mean field approximation based on Landau expansion. The random field is drawn from the trimodal probability distribution $P(h_{i})=p \delta(h_{i}-h_{0}) + q \delta…

Statistical Mechanics · Physics 2013-04-26 I. A. Hadjiagapiou

Recently experimental techniques, such as magnetic force microscopy (MFM), have enabled the magnetic state of individual sub-micron particles to be resolved. Motivated by these experimental developments, we use Monte Carlo simulations of…

Condensed Matter · Physics 2009-10-28 Howard L. Richards , Scott W. Sides , Mark A. Novotny , Per Arne Rikvold

We present a theoretical framework which is generally applicable to the study of time scales of activated processes in systems with Brownian type dynamics. This framework is applied to a prototype system: magnetization reversal times in the…

Statistical Mechanics · Physics 2009-11-07 Kevin Brendel , G. T. Barkema , Henk van Beijeren

We study the global phase diagram of magnetic orders and lattice structure in the Fe-pnictide materials at zero temperature within one unified theory, tuned by both doping and pressure. On the low doping and high pressure side of the phase…

Strongly Correlated Electrons · Physics 2015-05-13 Yang Qi , Cenke Xu

We present a study, within a mean-field approach, of the kinetics of a classical mixed Ising ferrimagnetic model on a square lattice, in which the two interpenetrating square sublattices have spins $\sigma = \pm1/2$ and $S = \pm 1,0$. The…

Statistical Mechanics · Physics 2009-10-31 G. M. Buendia , E. Machado

We consider stochastic dynamics for a spin system with mean field interaction, in which the interaction potential is subject to noisy and dissipative stochastic evolution. We show that, in the thermodynamic limit and at sufficiently low…

Probability · Mathematics 2013-05-03 Paolo Dai Pra , Markus Fischer , Daniele Regoli

We study the dynamical magnetization process in the ordered ground-state phase of the transverse Ising model under sweeps of magnetic field with constant velocities. In the case of very slow sweeps and for small systems studied previously…

Other Condensed Matter · Physics 2009-11-13 Seiji Miyashita , Hans De Raedt , Bernard Barbara

The phase behavior of Ising spin fluids is studied in the presence of an external magnetic field with the integral equation method. The calculations are performed on the basis of a soft mean spherical approximation using an efficient…

Statistical Mechanics · Physics 2016-08-31 I. P. Omelyan , I. M. Mryglod , R. Folk , W. Fenz

The quantum phase transition of the one-dimensional long-range transverse-field Ising model is explored by combining the quantum Monte Carlo method and stochastic parameter optimization, specifically achieved by tuning correlation ratios so…

Statistical Mechanics · Physics 2024-12-05 Sora Shiratani , Synge Todo

We consider the behavior of an Ising ferromagnet obeying the Glauber dynamics under the influence of a fast switching, random external field. After introducing a general formalism for describing such systems, we consider here the mean-field…

Statistical Mechanics · Physics 2009-10-31 J. Hausmann , P. Rujan

A spin model of LiCu2O2 compound with ground state of ellipsoidal helical structure has been adopted. Taking into account the interchain coupling and exchange anisotropy, we focus on the magnetoelectric properties in a rotating magnetic…

Materials Science · Physics 2015-06-18 Yan Qi , An Du

We study phase ordering kinetics in symmetric and asymmetric binary mixtures, undergoing an order-disorder transition below the critical temperature. Microscopically, we model the kinetics via antiferromagnetic Ising model with Kawasaki…

Statistical Mechanics · Physics 2017-11-09 Prasenjit Das , Tanusri Saha-Dasgupta , Sanjay Puri

An alternative exact explicit solution of 1D Ising chain is presented without using any boundary conditions (or free boundary condition) by the help of applying successively block-spin transformation. Exact relation are obtained between…

Statistical Mechanics · Physics 2018-01-16 Tuncer Kaya

Critical behavior of three-dimensional classical frustrated antiferromagnets with a collinear spin ordering and with an additional twofold degeneracy of the ground state is studied. We consider two lattice models, whose continuous limit…

Strongly Correlated Electrons · Physics 2018-11-06 A. O. Sorokin

In this paper we consider an approach, which allows researching a processes of order-disorder transition in various systems (with any distribution of the exchange integrals signs) in the frame of Ising model. A new order parameters, which…

Statistical Mechanics · Physics 2012-05-18 P. D. Andriushchenko , K. V. Nefedev

In this article we study the phase transition phenomenon for the Ising model under the action of a non-uniform external magnetic field. We show that the Ising model on the hypercubic lattice with a summable magnetic field has a first-order…

Mathematical Physics · Physics 2017-08-01 Rodrigo Bissacot , Leandro Cioletti

We study an irreversible Markov chain Monte Carlo method based on a skew detailed balance condition for an one-dimensional Ising model. Dynamical behavior of the magnetization density is analyzed in order to understand the properties of…

Statistical Mechanics · Physics 2015-06-12 Yuji Sakai , Koji Hukushima

The spin-spiral (SS) type of magnetization is studied with the Hubbard model. Consideration of noncollinearity of the magnetic moments results in a phase diagram which consists of regions of the SS and paramagnetic states depending on the…

Materials Science · Physics 2008-08-21 M. A. Timirgazin , A. K. Arzhnikov

We provide a general scheme to predict and derive the contribution to the noise spectrum of a stochastic sequence of pulses from the distribution of pulse parameters. An example is the magnetization noise spectra of a 2D Ising system near…

Statistical Mechanics · Physics 2009-06-22 Zhi Chen , Clare C. Yu