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We consider the behavior of an Ising ferromagnet obeying the Glauber dynamics under the influence of a fast switching, random external field. In Part I, we introduced a general formalism for describing such systems and presented the mean…

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

The effect of the random magnetic field distribution on the phase diagrams and ground state magnetizations of the Ising nanowire has been investigated with effective field theory with correlations. Gaussian distribution has been chosen as a…

Statistical Mechanics · Physics 2016-08-14 Ümit Akıncı

The antiferromagnetic Ising model is investigated on the 20 2-uniform lattices using the Monte-Carlo method based on the Wang-Landau algorithm and the Metropolis algorithm to study the geometric frustration effect systematically. Based on…

Statistical Mechanics · Physics 2017-01-26 Unjong Yu

An artificial spin ice consisting of numerous ferromagnets has attracted attention because of its applicability to practical devices. The ferromagnets interact through their stray magnetic field and show various functionality. The…

Mesoscale and Nanoscale Physics · Physics 2023-10-27 Tomohiro Taniguchi

Applied magnetic fields are an important tuning parameter for artificial spin ice (ASI) systems, as they can drive phase transitions between different magnetic ground states, or tune through regimes with high populations of emergent…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 M. Goryca , X. Zhang , J. D. Watts , C. Nisoli , C. Leighton , P. Schiffer , S. A. Crooker

A one dimensional kinetic Ising model at a finite temperature on a semi-infinite lattice with time varying boundary spins is considered. Exact expressions for the expectation values of the spin at each site are obtained, in terms of the…

Statistical Mechanics · Physics 2012-02-06 Amir Aghamohammadi , Cina Aghamohammadi , Mohammad Khorrami

We present a new method to close the Master Equation representing the continuous time dynamics of Ising interacting spins. The method makes use of the the theory of Random Point Processes to derive a master equation for local conditional…

Disordered Systems and Neural Networks · Physics 2017-05-17 Erik Aurell , Gino Del Ferraro , Eduardo Dominguez , Roberto Mulet

Motivated by the idea of using simple macroscopic examples to illustrate the physics of complex systems, we modify a historic experimental setup in which interacting floating magnets spontaneously self-assemble into ordered clusters. By…

Soft Condensed Matter · Physics 2024-12-20 P. D. S. de Lima , A. Lyons , A. Irannezhad , J. M. de Araújo , S. Hutzler , M. S. Ferreira

We study the ground-state entanglement in the quantum Ising model with nearest neighbor ferromagnetic coupling $J$ and find a sequential increase of entanglement depth with growing $J$. This entanglement avalanche starts with two-point…

Quantum Physics · Physics 2016-07-25 Konstantin V. Krutitsky , Andreas Osterloh , Ralf Schützhold

We explain Barkhausen noise in magnetic systems in terms of avalanches near a plain old critical point in the hysteretic zero-temperature random-field Ising model. The avalanche size distribution has a universal scaling function, making…

Condensed Matter · Physics 2009-10-28 Olga Perković , Karin Dahmen , James P. Sethna

The crystalline ferromagnet with dipole-dipole interactions is studied within the framework of the three-dimensional random-field Ising model. The field distribution function and the analytic expression for temperature dependent free energy…

Condensed Matter · Physics 2007-05-23 L. L. Afremov , A. V. Panov

We consider spin models on complex networks frequently used to model social and technological systems. We study the annealed ferromagnetic Ising model for random networks with either independent edges (Erd\H{o}s-R\'enyi), or with prescribed…

Disordered Systems and Neural Networks · Physics 2021-12-07 Van Hao Can , Cristian Giardinà , Claudio Giberti , Remco van der Hofstad

We analyze the rotational demagnetization of artificial spin ice, a recently realized array of nanoscale single-domain ferromagnetic islands. Demagnetization does not anneal this model system into its anti-ferromagnetic ground state: the…

Binary magnetic square lattice Ising system with nearest neighbour interactions were simulated using the Monte Carlo technique. Two types of ions were randomly distributed on the lattice sites, one type interacting ferromagnetic and the…

Statistical Mechanics · Physics 2013-01-23 Ike Q. Sikakana

We discuss the behaviour of a quantum Hall system when two Landau levels with opposite spin and combined filling factor near unity are brought into energetic coincidence using an in-plane component of magnetic field. We focus on the…

Mesoscale and Nanoscale Physics · Physics 2011-08-05 J. T. Chalker , D. G. Polyakov , F. Evers , A. D. Mirlin , P. Woelfle

In the present Letter we discuss the origin of the vertex population inversion observed experimentally in the mediated Artificial Square Ice. An interaction modifier is a disc-shaped magnetic nanoisland (a dot) which is placed at the center…

Statistical Mechanics · Physics 2022-09-13 Francesco Caravelli

We study the magnetic properties of a mixed Ising ferrimagnetic system, in which the two interacting sublattices have spins $\sigma$, $(\pm 1/2)$ and spins $S$, $(\pm 3/2,\pm 1/2)$ in the presence of a random crystal field, with the mean…

Statistical Mechanics · Physics 2009-11-13 L. Bahmad , A. Benyoussef , A. El Kenz

We performed computer simulations based on a two-dimensional Distinct Element Method to study granular systems of magnetized spherical particles. We measured the angle of repose and the surface roughness of particle piles, and we studied…

Soft Condensed Matter · Physics 2009-11-10 S. Fazekas , J. Kertész , D. E. Wolf

The spin-1/2 quantum Ising chain in a transverse random magnetic field is studied by means of the density-matrix renormalization group. The system evolves from an ordered to a paramagnetic state as the amplitude of the random field is…

Disordered Systems and Neural Networks · Physics 2009-10-30 A. Juozapavicius , S. Caprara , A. Rosengren

The statistics and form of avalanches in a driven system reveal the nature of the underlying energy landscape and dynamics. In conventional metallic ferromagnets, eddy-current back action can dominate the dynamics. Here, we study Barkhausen…

Other Condensed Matter · Physics 2019-10-09 D. M. Silevitch , J. Xu , C. Tang , K. A. Dahmen , T. F. Rosenbaum