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The critical behavior in the short-time dynamics for the random-bond Potts ferromagnet in two-dimensions is investigated by short-time dynamic Monte Carlo simulations. The numerical calculations show that this dynamic approach can be…

软凝聚态物质 · 物理学 2009-10-31 He-Ping Ying , Kenji Harada

Critical scaling and universality in short-time dynamics for spin models on a two-dimensional triangular lattice are investigated by using Monte Carlo simulation. Emphasis is placed on the dynamic evolution from fully ordered initialstates…

软凝聚态物质 · 物理学 2009-11-07 H. P. Ying , L. Wang , J. B Zhang , M. Jiang , J. Hu

We present Monte Carlo simulation results of random-bond Potts ferromagnet with the Olson-Young self-dual distribution of quenched disorders in two-dimensions. By exploring the short-time scaling dynamics, we find universal power-law…

软凝聚态物质 · 物理学 2018-01-17 Z. Q. Pan , H. P. Ying , D. W. Gu

The universal behaviour of the short-time dynamics of the three state Potts model in two dimensions at criticality is investigated with Monte Carlo methods. The initial increase of the order is observed. The new dynamic exponent $\theta$ as…

凝聚态物理 · 物理学 2009-10-28 L. Schuelke , B. Zheng

We investigate the effects of quenched bond randomness on the critical properties of the two-dimensional ferromagnetic Ising model embedded in a triangular lattice. The system is studied in both the pure and disordered versions by the same…

统计力学 · 物理学 2010-04-16 Nikolaos G. Fytas , Anastasios Malakis

Numerically we simulate the short-time behaviour of the critical dynamics for the two dimensional Ising model and Potts model with an initial state of very high temperature and small magnetization. Critical initial increase of the…

凝聚态物理 · 物理学 2009-10-28 K. Okano , L. Schuelke , K. Yamagishi , B. Zheng

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…

凝聚态物理 · 物理学 2009-10-28 B. Zheng

We study the critical behavior of the random q-state Potts quantum chain by density matrix renormalization techniques. Critical exponents are calculated by scaling analysis of finite lattice data of short chains ($L \leq 16$) averaging over…

统计力学 · 物理学 2009-10-31 Enrico Carlon , Christophe Chatelain , Bertrand Berche

In this paper we study the short-time behavior of the Blume-Capel model at the tricritical point as well as along the second order critical line. Dynamic and static exponents are estimated by exploring scaling relations for the…

统计力学 · 物理学 2009-11-07 Roberto da Silva , Nelson A. Alves , J. R. Drugowich de Felicio

We consider random q-state Potts models for $3\le q \le 8$ on the square lattice where the ferromagnetic couplings take two values $J_1>J_2$ with equal probabilities. For any q the model exhibits a continuous phase transition both in the…

统计力学 · 物理学 2015-06-25 Gábor Palágyi , Christophe Chatelain , Bertrand Berche , Ferenc Iglói

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…

凝聚态物理 · 物理学 2009-10-28 L. Schuelke , B. Zheng

The short-time behaviour of the critical dynamics for magnetic systems is investigated with Monte Carlo methods. Without losing the generality, we consider the relaxation process for the two dimensional Ising and Potts model starting from…

软凝聚态物质 · 物理学 2009-10-30 B. Zheng

With dynamic Monte Carlo simulations, we investigate the continuous phase transition in the three-dimensional three-state random-bond Potts model. We propose a useful technique to deal with the strong corrections to the dynamic scaling…

统计力学 · 物理学 2014-08-26 L. Wang , N. J. Zhou , B. Zheng

We present a numerical study of 2D random-bond Potts ferromagnets. The model is studied both below and above the critical value $Q_c=4$ which discriminates between second and first-order transitions in the pure system. Two geometries are…

统计力学 · 物理学 2009-10-31 Christophe Chatelain , Bertrand Berche

The problem of critical behaviour of three dimensional random anisotropy magnets, which constitute a wide class of disordered magnets is considered. Previous results obtained in experiments, by Monte Carlo simulations and within different…

无序系统与神经网络 · 物理学 2009-11-10 M. Dudka , R. Folk , Yu. Holovatch

We study the distribution of dynamical quantities in various one-dimensional, disordered models the critical behavior of which is described by an infinite randomness fixed point. In the {\it disordered contact process}, the quenched…

无序系统与神经网络 · 物理学 2015-06-18 Róbert Juhász

We study the effect of varying strength, $\delta$, of bond randomness on the phase transition of the three-dimensional Potts model for large $q$. The cooperative behavior of the system is determined by large correlated domains in which the…

统计力学 · 物理学 2010-08-09 M. T. Mercaldo , J-Ch. Anglès d'Auriac , F. Iglói

For the two dimensional randomly disordered three-state Potts ferromagnet, we find numerically that the critical exponent $\eta$ unchanges with the degree of disorder while those of the correlation length ($\nu$) and magnetic susceptibility…

凝聚态物理 · 物理学 2009-10-28 Jae-Kwon Kim

Critical behaviour of a nearly critical system, subjected to vivid turbulent mixing, is studied by means of the field theoretic renormalization group. Namely, relaxational stochastic dynamics of a non-conserved order parameter of the…

统计力学 · 物理学 2015-03-20 N. V. Antonov , A. S. Kapustin

We study the critical behavior of the $d=3$ Ising model with bond randomness through extensive Monte Carlo simulations and finite-size scaling techniques. Our results indicate that the critical behavior of the random-bond model is governed…

统计力学 · 物理学 2010-12-07 Nikolaos G. Fytas , Panagiotis E. Theodorakis
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