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We study the critical relaxation of the two-dimensional Ising model from a fully ordered configuration by series expansion in time t and by Monte Carlo simulation. Both the magnetization (m) and energy series are obtained up to 12-th order.…

统计力学 · 物理学 2009-10-30 Jian-Sheng Wang , Chee Kwan Gan

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…

统计力学 · 物理学 2020-02-28 Martin Hasenbusch

We study the purely relaxational dynamics (model A) at criticality in three-dimensional disordered Ising systems whose static critical behaviour belongs to the randomly diluted Ising universality class. We consider the site-diluted and…

无序系统与神经网络 · 物理学 2009-11-13 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

Using the Monte Carlo method, we determine the free energy of the interface of the 3D Ising model in the scaling region. By integrating the interface energies over the inverse temperature $\beta$, we obtain estimates for the free energies…

凝聚态物理 · 物理学 2015-06-25 M. Hasenbusch , K. Pinn

We investigate nonequilibrium relaxations of Ising models at the critical point by using a cluster update. While preceding studies imply that nonequilibrium cluster-flip dynamics at the critical point are universally described by the…

统计力学 · 物理学 2018-11-21 Yusuke Tomita , Yoshihiko Nonomura

We study the off-equilibrium relaxational dynamics at criticality in the three-dimensional Blume-Capel model whose static critical behaviour belongs to the 3d-Ising universality class. Using "improved" Hamiltonian (the leading corrections…

统计力学 · 物理学 2015-03-17 Mario Collura

We investigate the dynamic critical exponent of the two-dimensional Ising model defined on a curved surface with constant negative curvature. By using the short-time relaxation method, we find a quantitative alteration of the dynamic…

统计力学 · 物理学 2009-11-11 Hiroyuki Shima , Yasunori Sakaniwa

The static and dynamic critical properties of the ferromagnetic q-state Potts models on a square lattice with q = 2 and 3 are numerically studied via the nonequilibrium relaxation method. The relaxation behavior of both the order parameter…

统计力学 · 物理学 2009-11-13 Keekwon Nam , Bongsoo Kim , Sung Jong Lee

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…

统计力学 · 物理学 2020-11-25 Stanislav Kazmin , Wolfhard Janke

With a nonequilibrium relaxation method, we calculate the dynamic critical exponent z of the two-dimensional Ising model for the Swendsen-Wang and Wolff algorithms. We examine dynamic relaxation processes following a quench from a…

统计力学 · 物理学 2011-02-16 Jianqing Du , Bo Zheng , Jian-Sheng Wang

Extensive Monte Carlo simulations are employed in order to study the dynamic critical behavior of the one-dimensional Ising magnet, with algebraically decaying long-range interactions of the form $\frac{1}{r^{d+\sigma}}$, with…

统计力学 · 物理学 2011-04-15 D. E. Rodriguez , M. A. Bab , E. V. Albano

The critical relaxation from the low-temperature ordered state of the three-dimensional fully frustrated Ising model on a simple cubic lattice has been studied using the short time dynamics method. Particles with the periodic boundary…

统计力学 · 物理学 2016-11-10 V. A. Mutailamov , A. K. Murtazaev

We study the off-equilibrium critical dynamics of the three dimensional diluted Ising model. We compute the dynamical critical exponent $z$ and we show that it is independent of the dilution only when we take into account the…

无序系统与神经网络 · 物理学 2009-10-31 G. Parisi , F. Ricci-Tersenghi , J. J. Ruiz-Lorenzo

The random-field Ising model shows extreme critical slowdown that has been described by activated dynamic scaling: the characteristic time for the relaxation to equilibrium diverges exponentially with the correlation length, $\ln \tau\sim…

统计力学 · 物理学 2017-10-12 Ivan Balog , Gilles Tarjus

We study the critical dynamics of the three-dimensional Heisenberg model with random cubic anisotropy in the out-of-equilibrium and equilibrium regimes. Analytical approaches based on field theory predict that the universality class of this…

无序系统与神经网络 · 物理学 2025-08-04 A. Astillero , J. J. Ruiz-Lorenzo

In this work we performed numerical simulations for the Ising model on three dimensional lattices with coordination number equal 5. With Monte Carlo simulations in the static case we evaluated the critical temperature and the static…

统计力学 · 物理学 2024-06-28 Lourdes Bibiana Merino-Solís , Francisco Sastre

We present Monte Carlo simulation results for the dynamical critical exponent $z$ of the two-dimensional kinetic Ising model using a lattice of size $10^6 \times 10^6$ spins. We used Glauber as well as Metropolis dynamics. The $z$-value of…

凝聚态物理 · 物理学 2015-06-25 A. Linke , D. W. Heermann , P. Altevogt , M. Siegert

We employ Monte Carlo simulations to study the non-equilibrium relaxation of driven Ising lattice gases in two dimensions. Whereas the temporal scaling of the density auto-correlation function in the non-equilibrium steady state does not…

统计力学 · 物理学 2012-03-14 George L. Daquila , Uwe C. Tauber

The interface tension in the three-dimensional Ising model in the low temperature phase is investigated by means of the Monte Carlo method. Together with other physically relevant quantities it is obtained from a calculation of time-slice…

高能物理 - 格点 · 物理学 2010-12-23 Sabine Klessinger , Gernot Muenster

The universality class, even the order of the transition, of the two-dimensional Ising model depends on the range and the symmetry of the interactions (Onsager model, Baxter-Wu model, Turban model, etc.), but the critical temperature is…

统计力学 · 物理学 2009-11-13 Laszlo Kornyei , Michel Pleimling , Ferenc Igloi
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