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The standard Metropolis algorithm and the parallel tempering method are used to examine magnetization processes in the Ising model with the long-range RKKY interaction on the Shastry-Sutherland lattice. It is shown that the Ising model with…

Statistical Mechanics · Physics 2019-10-02 Lubomira Regeciova , Pavol Farkasovsky

We study the stationary properties of the Ising model that, while evolving towards its equilibrium state at temperature $T$ according to the Glauber dynamics, is stochastically reset to its fixed initial configuration with magnetisation…

Statistical Mechanics · Physics 2020-08-12 Matteo Magoni , Satya N. Majumdar , Gregory Schehr

The random current representation of the Ising model, along with a related path expansion, has been a source of insight on the stochastic geometric underpinning of the ferromagnetic model's phase structure and critical behavior in different…

Mathematical Physics · Physics 2025-09-23 Michael Aizenman

Within the framework of the effective-field theory with correlations we investigate effects of an external magnetic field and random site dilution on basic thermodynamic quantities, such as the magnetization and the magnetic susceptibility,…

Statistical Mechanics · Physics 2023-07-19 M. Borovský , M. Žukovič , A. Bobák

We investigate the magnetic field which is generated by turbulent motions of a weakly ionized gas. Galactic molecular clouds give us an example of such a medium. As in the Kazantsev-Kraichnan model we assume a medium to be homogeneous and a…

Astrophysics of Galaxies · Physics 2013-09-25 Ya. N. Istomin , A. M. Kiselev

The dynamical response of an Ising ferromagnet to a plane polarised standing magnetic field wave is modelled and studied here by Monte Carlo simulation in two dimensions. The amplitude of standing magnetic wave is modulated along the…

Statistical Mechanics · Physics 2016-08-08 Ajay Halder , Muktish Acharyya

The role of the geometric fluctuations on the multifractal properties of the local magnetization of aperiodic ferromagnetic Ising models on hierachical lattices is investigated. The geometric fluctuations are introduced by generalized…

Disordered Systems and Neural Networks · Physics 2009-10-31 E. Nogueira , R. F. S. Andrade , S. Coutinho

Properties of spin-1 Bose gases with ferromagnetic interaction in the presence of a nonzero magnetic field are studied. The equation of state and thermodynamic quantities are worked out with the help of a mean-field approximation. The phase…

Other Condensed Matter · Physics 2007-05-23 Krisztian Kis-Szabo , Peter Szepfalusy , Gergely Szirmai

We study the effects of a static and uniform magnetic field on the evolution of energy density fluctuations present in a medium. By numerically solving the relativistic Boltzmann-Vlasov equation within the relaxation time approximation, we…

Nuclear Theory · Physics 2023-06-01 Shreyansh S. Dave , Subrata Pal

The magnetization dynamics of the triangular lattice of Ising spin chains is investigated in the framework of a two-dimensional model. The rigid chains are assumed to interact with the nearest neighboring chains, an external magnetic field,…

Strongly Correlated Electrons · Physics 2009-11-13 Yu. B. Kudasov , A. S. Korshunov , V. N. Pavlov , D. A. Maslov

We study numerically the number of single-spin-flip stable states in the T=0 Random Field Ising Model (RFIM) on random regular graphs of connectivity $z=2$ and $z=4$ and on the cubic lattice. The annealed and quenched complexities (i.e. the…

Disordered Systems and Neural Networks · Physics 2007-10-08 F. J. Perez-Reche , M. L. Rosinberg , G. Tarjus

The magnetic behavior of a mixed Ising ferrimagnetic system on a square lattice, in which the two interpenetrating square sublattices have spins +- 1/2 and spins +-1,0, in the presence of an oscillating magnetic field has been studied with…

Condensed Matter · Physics 2009-10-31 G. M. Buendia , E. Machado

In the paper a self-consistent theoretical description of the lattice and magnetic properties of a model system with magnetoelastic interaction is presented. The dependence of magnetic exchange integrals on the distance between interacting…

Statistical Mechanics · Physics 2016-12-07 T. Balcerzak , K. Szałowski , M. Jaščur

We develop a fully microscopic, statistical mechanics approach to study phase transitions in Ising systems with competing interactions at different scales. Our aim is to consider orientational and positional order parameters in a unified…

Statistical Mechanics · Physics 2011-09-28 Daniel G. Barci , Daniel A. Stariolo

A spin-1 Ising model incorporating positional order to a standard lattice gas with no attractive interactions is introduced and found to be consistent with all known attributes of the freezing transition of the hard-sphere system.…

Statistical Mechanics · Physics 2023-04-03 Jacobo Troncoso , Claudio A. Cerdeiriña

We consider stochastic reconnection in a magnetized, partially ionized medium. Stochastic reconnection is a generic effect, due to field line wandering, in which the speed of reconnection is determined by the ability of ejected plasma to…

Plasma Physics · Physics 2009-11-10 A. Lazarian , E. T. Vishniac , J. Cho

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

Some strongly frustrated magnets such as the "spin-ice" compounds fail to produce any magnetic order at finite temperatures even in the presence of magnetic field. Still they have very unusual low-temperature thermodynamic properties…

Materials Science · Physics 2010-05-18 P. N. Timonin

Using zero temperature Monte Carlo simulations we have studied the magnetic hysteresis in a three-dimensional Ising model with nearest neighbor exchange and dipolar interaction. The average magnetization of spins located inside a sphere on…

Condensed Matter · Physics 2009-10-31 Gyorgy Szabo , Gyorgy Kadar

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