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We study the quantum phase transition in the two-dimensional random Ising model in a transverse field by Monte Carlo simulations. We find results similar to those known analytically in one-dimension: the dynamical exponent is infinite and,…

无序系统与神经网络 · 物理学 2016-08-31 C. Pich , A. P. Young

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

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 an extensive Markov-chain Monte Carlo study of the finite-size scaling behavior of the Fortuin-Kasteleyn Ising model on five-dimensional hypercubic lattices with periodic boundary conditions. We observe that physical quantities,…

统计力学 · 物理学 2020-08-26 Sheng Fang , Jens Grimm , Zongzheng Zhou , Youjin Deng

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 study the critical properties of the spin-continuous $S^{4}$ system on the typical translational invariant triangular lattices by combining the recently-developed generalized Migdal-Kadanoff bond-moving recursion procedures with the…

统计理论 · 数学 2012-08-27 Chun-Yang Wang , Wen-Xian Yang , Hong Du

The explicit calculation of the scaling form of the two-time autocorrelation function in phase-ordering kinetics and in those cases of non-equilibrium critical dynamics where the dynamical exponent z=2 through the extension of dynamical…

统计力学 · 物理学 2011-02-16 Malte Henkel , Florian Baumann

We investigate the short time quantum critical dynamics in the imaginary time relaxation processes of finite size systems. Universal scaling behaviors exist in the imaginary time evolution and in particular, the system undergoes a critical…

强关联电子 · 物理学 2017-09-20 Yu-Rong Shu , Shuai Yin , Dao-Xin Yao

Critical behavior in short-time dynamics is investigated by a Monte Carlo study for the random-bond Potts ferromagnet with a trinary distribution of quenched disorders on two-dimensional triangular lattices. The dynamic scaling is verified…

统计力学 · 物理学 2007-05-23 H. P. Ying , B. J. Bian , D. R. Ji , H. J. Luo , L. Schuelke

In this paper we study the critical behaviour of the fully-connected p-colours Potts model at the dynamical transition. In the framework of Mode Coupling Theory (MCT), the time autocorrelation function displays a two step relaxation, with…

无序系统与神经网络 · 物理学 2012-06-20 Francesco Caltagirone , Giorgio Parisi , Tommaso Rizzo

The critical properties of the spin-1 two-dimensional Blume-Capel model on directed and undi- rected random lattices with quenched connectivity disorder is studied through Monte Carlo simulations. The critical temperature, as well as the…

统计力学 · 物理学 2015-05-18 F. P. Fernandes , F. W. S. Lima , J. A. Plascak

Critical slowing down (CSD) has been a trademark of critical dynamics for equilibrium phase transitions of a many-body system, where the relaxation time for the system to reach thermal equilibrium or quantum ground state diverges with…

量子物理 · 物理学 2023-08-02 Wenqian Zhang , Yadong Wu , Xingze Qiu , Jue Nan , Xiaopeng Li

We present the results of a study of the three-dimensional $XY$-model on a simple cubic lattice using the single cluster updating algorithm combined with improved estimators. We have measured the susceptibility and the correlation length…

凝聚态物理 · 物理学 2009-10-22 A. P. Gottlob , M. Hasenbusch

We propose and study a one-dimensional $2\times 2$ hyperbolic Eulerian system with local relaxation from critical threshold phenomena perspective. The system features dynamic transition between strictly and weakly hyperbolic. For different…

偏微分方程分析 · 数学 2020-12-15 Manas Bhatnagar , Hailiang Liu

The experimental search for the QCD critical point by means of relativistic heavy-ion collisions necessitates the development of dynamical models of fluctuations. In this work we study the fluctuations of the net-baryon density near the…

核理论 · 物理学 2020-11-25 Marlene Nahrgang , Marcus Bluhm

Critical exponents of the infinitely slowly driven Zhang model of self-organized criticality are computed for $d=2,3$ with particular emphasis devoted to the various roughening exponents. Besides confirming recent estimates of some…

统计力学 · 物理学 2009-10-31 Achille Giacometti , Albert Diaz-Guilera

We investigate the percolation behavior of Fortuin-Kasteleyn--type clusters in the spin-$1/2$ Baxter--Wu model with three-spin interactions on a triangular lattice. The considered clusters are constructed by randomly freezing one of the…

统计力学 · 物理学 2026-01-23 Alexandros Vasilopoulos , Michail Akritidis , Nikolaos G. Fytas , Martin Weigel

Universality, encompassing critical exponents, scaling functions, and dimensionless quantities, is fundamental to phase transition theory. In finite systems, universal behaviors are also expected to emerge at the pseudocritical point.…

统计力学 · 物理学 2026-05-26 Qiyuan Shi , Shuo Wei , Youjin Deng , Ming Li

By means of free fermionic techniques we study the time evolution of the entanglement entropy, S(t), of a block of spins in the random transverse-field Ising chain after a sudden change of the parameters of the Hamiltonian. We consider…

统计力学 · 物理学 2012-03-13 Ferenc Igloi , Zsolt Szatmari , Yu-Cheng Lin

A quantitatively reliable theoretical description of the dynamics of fluctuations in non-equilibrium is indispensable in the experimental search for the QCD critical point by means of ultra-relativistic heavy-ion collisions. In this work we…

核理论 · 物理学 2019-06-26 Marlene Nahrgang , Marcus Bluhm , Thomas Schaefer , Steffen A. Bass