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Using an efficient one and two qubit gate simulator, operating on graphical processing units, we investigate ergodic properties of a quantum Ising spin 1/2 model on a two dimensional lattice, which is periodically driven by a…

Statistical Mechanics · Physics 2015-01-07 Carlos Pineda , Tomaž Prosen , Eduardo Villaseñor

We consider coevolution of site status and link structures from two different initial networks: a one dimensional Ising chain and a scale free network. The dynamics is governed by a preassigned stability parameter $S$, and a rewiring factor…

Physics and Society · Physics 2015-03-17 Kamalika Basu Hajra , Anjan Kumar Chandra

We study low-temperature magnetization processes in a stacked triangular Ising antiferromagnet by Monte Carlo simulations. In increasing and decreasing magnetic fields we observe multiple steps and hysteresis corresponding to formation of…

Statistical Mechanics · Physics 2012-12-24 M. Žukovič , L. Mižišin , A. Bobák

The Ising ferromagnetic model on a square lattice is revisited using the Galam Unifying Frame (GUF), set to investigate the dynamics of two-state variable systems within the frame of opinion dynamics. When combined with Metropolis dynamics,…

Statistical Mechanics · Physics 2013-04-24 Serge Galam , André C. R. Martins

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

We numerically study the dynamics after a parameter quench in the one-dimensional transverse-field Ising model with long-range interactions ($\propto 1/r^\alpha$ with distance $r$), for finite chains and also directly in the thermodynamic…

We consider the phase ordering problem for the low-temperature Ising dynamics initialized from a biased and disordered initialization. Work of Fontes, Schonmann, Sidoravicius (2002) showed that at zero-temperature, Ising Glauber dynamics on…

Probability · Mathematics 2026-05-11 Reza Gheissari , Allan Sly

All isometrically invariant Markov (strictly local) fields on binary assignments are induced by energy functions that can be represented as linear combinations of area, perimeter, and Euler characteristic. This class of model includes the…

Mathematical Physics · Physics 2026-02-25 Summer Eldridge , Benjamin Schweinhart

We study, using Monte Carlo dynamics, the time ($t$) dependent average magnetization per spin $m(t)$ behavior of 2-D kinetic Ising model under a binary ($\pm h_0$) stochastic field $h(t)$. The time dependence of the stochastic field is such…

Statistical Mechanics · Physics 2013-12-02 Asim Ghosh , Bikas K. Chakrabarti

The nonequilibrium responses of Ising metamagnet (layered antiferromagnet) to the propagating magnetic wave are studied by Monte Carlo simulation. Here, the spatio-temporal variations of magnetic field keeps the system away from…

Statistical Mechanics · Physics 2015-03-11 Muktish Acharyya

We introduce a new microcanonical dynamics for a large class of Ising systems isolated or maintained out of equilibrium by contact with thermostats at different temperatures. Such a dynamics is very general and can be used in a wide range…

Statistical Mechanics · Physics 2009-07-28 Elena Agliari , Mario Casartelli , Alessandro Vezzani

We study the dynamic phase transition properties for the mixed spin-(1/2, 1) Ising model on a square lattice under a time-dependent magnetic field by means the effective-field theory (EFT) based on the Glauber dynamics. We present the…

Statistical Mechanics · Physics 2014-07-14 Mehmet Ertaş , Mustafa Keskin

The physical origin of the backbendings in the equations of state of finite but not necessarily small systems is studied in the Ising model with fixed magnetization (IMFM) by means of the topological properties of the observable…

Statistical Mechanics · Physics 2009-11-10 F. Gulminelli , J. M. Carmona , Ph. Chomaz , J. Richert , S. Jimenez , V. Regnard

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

We performed two-dimensional simulated tempering (ST) simulations of the two-dimensional Ising model with different lattice sizes in order to investigate the two-dimensional ST's applicability to dealing with phase transitions and to study…

Statistical Mechanics · Physics 2015-06-05 Tetsuro Nagai , Yuko Okamoto

We investigate the dynamical fixed points of the zero temperature Glauber dynamics in Ising-like models. The stability analysis of the fixed points in the mean field calculation shows the existence of an exponent that depends on the…

Statistical Mechanics · Physics 2021-09-22 Reshmi Roy , Parongama Sen

Ground state and thermodynamics of geometrically frustrated spin-1/2 Ising-Heisenberg model on two different but topologically related triangles-in-triangles lattices is investigated in particular. A rigorous mapping based on generalized…

Statistical Mechanics · Physics 2013-01-31 Jana Cisarova , Jozef Strecka

Motivated by recent experiments with Rydberg atoms in an optical tweezer array, we accurately map out the ground-state phase diagram of the antiferromagnetic Ising model on a square lattice with longitudinal and transverse magnetic fields…

Quantum Gases · Physics 2021-06-10 Ryui Kaneko , Yoshihide Douda , Shimpei Goto , Ippei Danshita

The one-dimensional Ising model in an external magnetic field with uniform long-range interactions and random short-range interactions satisfying bimodal annealed distributions is studied. This generalizes the random model discussed by…

Statistical Mechanics · Physics 2009-10-31 A. P. Vieira , L. L. Goncalves

Phase transitions in the three-dimensional diluted Ising antiferromagnet in an applied magnetic field are analyzed numerically. It is found that random magnetic field in a system with spin concentration below a certain threshold induces a…

Other Condensed Matter · Physics 2009-11-11 V. V. Prudnikov , V. N. Borodikhin