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The nonequilibrium dynamic phase transition, in the kinetic Ising model in presence of an oscillating magnetic field, has been studied both by Monte Carlo simulation and by solving numerically the mean field dynamic equation of motion for…

Condensed Matter · Physics 2009-10-28 Muktish Acharyya

On directed Barabasi-Albert networks with two and seven neighbours selected by each added site, the Ising model with spin S=1/2 was seen not to show a spontaneous magnetisation. Instead, the decay time for flipping of the magnetisation…

Disordered Systems and Neural Networks · Physics 2016-08-31 F. W. S. Lima

A system can be driven between metastable configurations by a time-dependent driving protocol, which uses external control parameters to change the potential energy of the system. Here we investigate the correspondence between driving…

Statistical Mechanics · Physics 2022-12-27 Miranda D. Louwerse , David A. Sivak

We study the random field $p$-spin model with Ising spins on a fully connected graph using the theory of large deviations in this paper. This is a good model to study the effect of quenched random field on systems which have a sharp first…

Statistical Mechanics · Physics 2015-10-28 Sumedha , Sushant K. Singh

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

We study the dynamics of ferromagnetic spin systems quenched from infinite temperature to their critical point. We show that these systems are aging in the long-time regime, i.e., their two-time autocorrelation and response functions and…

Statistical Mechanics · Physics 2009-10-31 C. Godreche , J. M. Luck

Using numerical simulations we investigate the properties of the dynamic phase transition that is encountered in the three-dimensional Ising model subjected to a periodically oscillating magnetic field. The values of the critical exponents…

Statistical Mechanics · Physics 2013-04-01 Hyunhang Park , Michel Pleimling

A review is given on some recent developments in the theory of the Ising model in a random field. This model is a good representation of a large number of impure materials. After a short repetition of earlier arguments, which prove the…

Statistical Mechanics · Physics 2008-02-03 T. Nattermann

We study field-induced phase transitions in the two-dimensional dipolar Ising ferromagnet with a specific ratio between the exchange and dipolar constants, $\delta=1$, which exhibits a stripe-ordered phase with the width of one lattice unit…

Statistical Mechanics · Physics 2018-12-26 Hisato Komatsu , Yoshihiko Nonomura , Masamichi Nishino

We study the ferromagnetic random-field Ising model on random graphs of fixed connectivity z (Bethe lattice) in the presence of an external magnetic field $H$. We compute the number of single-spin-flip stable configurations with a given…

Disordered Systems and Neural Networks · Physics 2009-11-10 F. Detcheverry , M. L. Rosinberg , G. Tarjus

Nonreciprocal interactions in many-body systems lead to time-dependent states, commonly observed in biological, chemical, and ecological systems. The stability of these states in the thermodynamic limit and the critical behavior of the…

Statistical Mechanics · Physics 2025-04-01 Yael Avni , Michel Fruchart , David Martin , Daniel Seara , Vincenzo Vitelli

The dynamics of an asymmetric kinetic Ising model is studied. Two schemes for improving the existing mean-field description are proposed. In the first scheme, we derive the formulas for instantaneous magnetization, equal-time correlation,…

Disordered Systems and Neural Networks · Physics 2014-05-23 Haiping Huang , Yoshiyuki Kabashima

Spin-glass (SG) states of the 3-dimensional Ising Edwards-Anderson model under a static magnetic field $h$ are examined by means of the standard Monte Carlo simulation on the field-shift aging protocol at temperature $T$. For each process…

Disordered Systems and Neural Networks · Physics 2009-11-10 Hajime Takayama , Koji Hukushima

We studied the dynamical phase transition in kinetic Ising ferromagnets driven by oscillating magnetic field in meanfield approximation. The meanfield differential equation was solved by sixth order Runge-Kutta-Felberg method. The time…

Statistical Mechanics · Physics 2015-05-18 Muktish Acharyya , Ajanta Bhowal

The finite size analysis of the nonequilibrium phase transition, in two dimensional Ising ferromagnet driven by plane propagating magneticwave, is studied by Monte Carlo simulation. It is observed that the system undergoes a nonequilibrium…

Statistical Mechanics · Physics 2021-01-29 Ajay Halder , Muktish Acharyya

The probability distribution (PD) of spin configurations in kinetic Ising models has been cast in the form of the canonical Boltzmann PD with a time-dependent effective Hamiltonian (EH). It has been argued that in systems with extensive…

Statistical Mechanics · Physics 2025-06-10 V. I. Tokar

Phase transition and critical properties of Ising-like spin-orbital interacting systems in 2-dimensional triangular lattice are investigated. We first show that the ground state of the system is a composite spin-orbital ferro-ordered phase.…

Statistical Mechanics · Physics 2009-11-13 Huai-Bao Tang , Dong-Meng Chen , Xiang-Fei Wei , Liang-Jian Zou

For the Ising model, the spin magnetization transition is equivalent to the percolation transition of Fortuin-Kasteleyn clusters; this result remains valid also for the conventional continuous spin Ising model. The investigation of more…

High Energy Physics - Lattice · Physics 2009-10-31 S. Fortunato , H. Satz

Recently Baumann et al. [arXiv:0709.3228v1] studied the phase-ordering kinetics of the two-dimensional Ising model with uniform spatially quenched disorder by Monte-Carlo simulations. They found that the two-time response and correlation…

Statistical Mechanics · Physics 2009-11-13 Haye Hinrichsen

Using Monte Carlo techniques, Ising models with ferromagnetic nearest-neighbor interactions on a simple cubic lattice are studied. At the surface transition, the critical exponent $\beta_2$ of the edge magnetization is found to be…

Condensed Matter · Physics 2009-10-31 M. Pleimling , W. Selke