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We use a non-equilibrium simulation method to study the spin glass transition in three-dimensional Ising spin glasses. The transition point is repeatedly approached at finite velocity $v$ (temperature change versus time) in Monte Carlo…

Disordered Systems and Neural Networks · Physics 2015-08-26 C. -W. Liu , A. Polkovnikov , A. W. Sandvik , A. P. Young

We studied the critical behavior of the $J_{1}-J_{2}$ spin-{1/2} Ising model in the square lattice by considering $J_{1}$ fixed and $J_{2}$ as random interactions following discrete and continuous probability distribution functions. The…

Statistical Mechanics · Physics 2021-12-23 Octavio D. Rodriguez Salmon , Minos A. Neto , Thiago Lobo , Francisco Dinola Neto

We study purely dissipative relaxational dynamics in the three-dimensional Ising universality class. To this end, we simulate the improved Blume-Capel model on the simple cubic lattice by using local algorithms. We perform a finite size…

Statistical Mechanics · Physics 2020-02-28 Martin Hasenbusch

Short-time dynamics in the $2D$ Blume-Capel model, with a non-conserved order-parameter and short-ranged interactions, is analysed. For non-equilibrium dynamics, both at a critical point in the $2D$ Ising universality class and at the…

Statistical Mechanics · Physics 2026-03-16 Leila Moueddene , Malte Henkel

Critical dynamics in film geometry is analyzed within the field-theoretical approach. In particular we consider the case of purely relaxational dynamics (Model A) and Dirichlet boundary conditions, corresponding to the so-called ordinary…

Statistical Mechanics · Physics 2007-05-23 A. Gambassi , S. Dietrich

We investigate the dynamic phase transition in two-dimensional Ising models whose equilibrium characteristics are influenced by either anisotropic interactions or quenched defects. The presence of anisotropy reduces the dynamical critical…

Statistical Mechanics · Physics 2025-03-07 Federico Ettori , Thibaud Coupé , Timothy J. Sluckin , Ezio Puppin , Paolo Biscari

The quantum-critical properties of the transverse-field Ising model with algebraically decaying interactions are investigated by means of stochastic series expansion quantum Monte Carlo, on both the one-dimensional linear chain and the…

Statistical Mechanics · Physics 2021-06-30 J. Koziol , A. Langheld , S. C. Kapfer , K. P. Schmidt

We show that spatial resolved dissipation can act on $d$-dimensional spin systems in the Ising universality class by qualitatively modifying the nature of their critical points. We consider power-law decaying spin losses with a Lindbladian…

Statistical Mechanics · Physics 2022-08-17 Jamir Marino

Magnetic properties of an Ising bilayer system defined on a honeycomb lattice with non-magnetic interlayers which interact via an indirect exchange coupling have been investigated by Monte Carlo simulation technique. Equilibrium properties…

Statistical Mechanics · Physics 2018-11-14 Yusuf Yüksel

Using Monte Carlo methods, the short-time dynamic scaling behaviour of two-dimensional critical XY systems is investigated. Our results for the XY model show that there exists universal scaling behaviour already in the short-time regime,…

Statistical Mechanics · Physics 2016-08-31 H. J. Luo , M. Schulz , L. Schuelke , S. Trimper , B. Zheng

The nonequilibrium phase transition has been studied by Monte Carlo simulation in a ferromagnetically interacting (nearest neighbour) kinetic Ising model in presence of a sinusoidally oscillating magnetic field. The ('specific-heat')…

Condensed Matter · Physics 2015-06-25 Muktish Acharyya

The dynamic process for the two dimensional three state Potts model in the critical domain is simulated by the Monte Carlo method. It is shown that the critical point can rigorously be located from the universal short-time behaviour. This…

Condensed Matter · Physics 2009-10-28 L. Schuelke , B. Zheng

We investigate the static critical behaviour of a uniaxial magnetic layer, with finite thickness L in one direction, yet infinitely extended in the remaining d dimensions. The magnetic dipole-dipole interaction is taken into account. We…

Statistical Mechanics · Physics 2009-10-31 Michael Bulenda , Uwe C. T"auber , Franz Schwabl

We study the critical behavior of the Ising model in three dimensions on a lattice with site disorder by using Monte Carlo simulations. The disorder is either uncorrelated or long-range correlated with correlation function that decays…

Statistical Mechanics · Physics 2020-11-25 Stanislav Kazmin , Wolfhard Janke

The dynamical responses of Ising metamagnet (layered antiferromagnet) in the presence of a sinusoidally oscillating magnetic field are studied by Monte Carlo simulation. The time average staggered magnetisation plays the role of dynamic…

Statistical Mechanics · Physics 2011-07-21 Muktish Acharyya

We study hysteresis for a two-dimensional, spin-1/2, nearest-neighbor, kinetic Ising ferromagnet in an oscillating field, using Monte Carlo simulations. The period-averaged magnetization is the order parameter for a proposed dynamic phase…

Statistical Mechanics · Physics 2009-10-31 S. W. Sides , P. A. Rikvold , M. A. Novotny

We study the imaginary-time relaxation critical dynamics of a quantum system with a vanishing initial correlation length and an arbitrary initial order parameter $M_0$. We find that in quantum critical dynamics, the behavior of $M_0$ under…

Statistical Mechanics · Physics 2017-02-14 Shuyi Zhang , Shuai Yin , Fan Zhong

The dynamic relaxation process for the two dimensional Potts model at criticality starting from an initial state with very high temperature and arbitrary magnetization is investigated with Monte Carlo methods. The results show that there…

Condensed Matter · Physics 2009-10-28 B. Zheng

We utilize Langevin molecular dynamics simulations to study dynamical critical behavior of magnetic flux lines near the depinning transition in type-II superconductors subject to randomly distributed attractive point defects. We employ a…

Statistical Mechanics · Physics 2020-01-29 Harshwardhan Chaturvedi , Ulrich Dobramysl , Michel Pleimling , Uwe C. Täuber

The dynamic critical behavior of isotropic Heisenberg ferromagnets with a planar free surface is investigated by means of field-theoretic renormalization group techniques and high-precision computer simulations. An appropriate semi-infinite…

Statistical Mechanics · Physics 2009-11-07 H. W. Diehl , M. Krech , H. Karl