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We propose a new efficient scheme for the quantum Monte Carlo study of quantum critical phenomena in quantum spin systems. Rieger and Young's Trotter-number-dependent finite-size scaling in quantum spin systems and Ito {\it et al.}'s…

Statistical Mechanics · Physics 2009-10-31 Yoshihiko Nonomura

We use an efficient method that eases the daunting task of simulating dynamics in spin systems with long-range interaction. Our Monte Carlo simulations of the long-range Ising model for the nonequilibrium phase ordering dynamics in two…

Statistical Mechanics · Physics 2019-01-23 Henrik Christiansen , Suman Majumder , Wolfhard Janke

Using an elaborate set of simulational tools and statistically optimized methods of data analysis we investigate the scaling behavior of the correlation lengths of three-dimensional classical O($n$) spin models. Considering…

Statistical Mechanics · Physics 2011-07-19 Martin Weigel , Wolfhard Janke

We study the ferromagnetic transverse-field Ising model with quenched disorder at $T = 0$ in one and two dimensions by means of stochastic series expansion quantum Monte Carlo simulations using a rigorous zero-temperature scheme. Using a…

Strongly Correlated Electrons · Physics 2024-08-28 C. Krämer , J. A. Koziol , A. Langheld , M. Hörmann , K. P. Schmidt

We investigate the off-equilibrium dynamics of a spin system with O($N$) symmetry in $2 < d < 4$ spatial dimensions arising by the presence of a slowly varying time-dependent magnetic field $h(t,t_s) \sim t/t_s$, $t_s$ is a time scale, at…

Statistical Mechanics · Physics 2019-01-25 Stefano Scopa

We study two different versions of the site-diluted Ising model in three dimensions with long-range spatially correlated disorder by Monte Carlo means. We use finite-size scaling techniques to compute the critical exponents of these…

Disordered Systems and Neural Networks · Physics 2009-10-31 H. G. Ballesteros , G. Parisi

We have studied the equilibrium and nonequilibrium behaviours of the Ising ferromagnetic thick cubic shell by Monte Carlo simulation. Our goal is to find the dependence of the responses on the thickness of the shell. In the equilibrium…

Statistical Mechanics · Physics 2025-12-04 Ishita Tikader , Muktish Acharyya

Dynamic relaxation of the XY model quenched from a high temperature state to the critical temperature or below is investigated with Monte Carlo methods. When a non-zero initial magnetization is given, in the short-time regime of the dynamic…

Condensed Matter · Physics 2009-10-30 K. Okano , L. Schuelke , K. Yamagishi , B. Zheng

In this work we have studied the dynamic scaling behavior of two scaling functions and we have shown that scaling functions obey the dynamic finite size scaling rules. Dynamic finite size scaling of scaling functions opens possibilities for…

Statistical Mechanics · Physics 2009-11-10 Semra Gündüç , Mehmet Dilaver , Meral Aydın , Yiğit Gündüç

Metropolis Monte Carlo simulation is a powerful tool for studying the equilibrium properties of matter. In complex condensed-phase systems, however, it is difficult to design Monte Carlo moves with high acceptance probabilities that also…

Statistical Mechanics · Physics 2014-05-27 Jerome P. Nilmeier , Gavin E. Crooks , David D. L. Minh , John D. Chodera

An analysis is made of various methods of phenomenological renormalization based on finite-size scaling equations for inverse correlation lengths, the singular part of the free energy density, and their derivatives. The analysis is made…

Statistical Mechanics · Physics 2009-11-07 M. A. Yurishchev

The non-equilibrium dynamics of the three-dimensional Edwards-Anderson spin-glass model with different bond distributions is investigated by means of Monte Carlo simulation. A numerical method is used to determine the critical temperature…

Disordered Systems and Neural Networks · Physics 2010-12-15 F. Roma

A three-dimensional $\pm J$ XY spin-glass model is investigated by a nonequilibrium relaxation method. We have introduced a new criterion for the finite-time scaling analysis. A transition temperature is obtained by a crossing point of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Takeo Yamamoto , Takeshi Sugashima , Tota Nakamura

We have investigated the time-dependent regime of a two-dimensional metamagnetic model at its tricritical point via Monte Carlo simulations. First of all, we obtained the temperature and magnetic field corresponding to the tricritical point…

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 propose an efficient Monte Carlo algorithm for simulating a ``hardly-relaxing" system, in which many replicas with different temperatures are simultaneously simulated and a virtual process exchanging configurations of these replica is…

Condensed Matter · Physics 2009-10-28 Koji Hukushima , Koji Nemoto

We study the dynamical scaling of long-range $\mathrm{O}(N)$ models after a sudden quench to the critical temperature, using the functional renormalization group approach. We characterize both short-time aging and long-time relaxation as a…

Statistical Mechanics · Physics 2026-01-08 Valerio Pagni , Friederike Ihssen , Nicolò Defenu

The nonequilibrium dynamic phase transition, in the kinetic Ising model in presence of an oscillating magnetic field, has been studied by Monte Carlo simulation. The fluctuation of dynamic order parameter has been studied as a function of…

Condensed Matter · Physics 2009-10-30 Muktish Acharyya

The influence of a thermodynamic constraint on the critical finite-size scaling behavior of three-dimensional Ising and XY models is analyzed by Monte-Carlo simulations. Within the Ising universality class constraints lead to Fisher…

Statistical Mechanics · Physics 2007-05-23 M. Krech

The measurements of the magnetic and nematic correlation lengths in a generalization of the two dimensional XY model on the square lattice are presented using classical Monte Carlo simulation. The full phase diagram is re-examined based on…

Statistical Mechanics · Physics 2018-10-17 Duong Xuan Nui , Le Tuan , Nguyen Duc Trung Kien , Pham Thanh Huy , Hung T. Dang , Dao Xuan Viet
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