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Through large-scale numerical simulations, we study the phase ordering kinetics of the $2d$ Ising Model after a zero-temperature quench from a high-temperature homogeneous initial condition. Analysing the behaviour of two important…

统计力学 · 物理学 2018-09-19 F. Insalata , F. Corberi , L. F. Cugliandolo , M. Picco

The influence of disordering upon critical behavior of the system with hidden degrees of freedom is considered. It is shown that there is a tricritical behavior in the constrained system, while in the unconstrained system only phase…

无序系统与神经网络 · 物理学 2009-10-30 Y. N. Skryabin , A. V. Shchanov

The scaling form of the free-energy near a critical point allows for the definition of various thermodynamical amplitudes and the determination of their dependence on the microscopic non-universal scales. Universal quantities can be…

统计力学 · 物理学 2009-10-31 D. Fioravanti , G. Mussardo , P. Simon

It was recently realized that the three-dimensional O($N$) model possesses an extraordinary boundary universality class for a finite range of $N \ge 2$. For a given $N$, the existence and universal properties of this class are predicted to…

统计力学 · 物理学 2022-05-31 Francesco Parisen Toldin , Max A. Metlitski

For the quantum Ising model with ferromagnetic random couplings $J_{i,j}>0$ and random transverse fields $h_i>0$ at zero temperature in finite dimensions $d>1$, we consider the lowest-order contributions in perturbation theory in…

无序系统与神经网络 · 物理学 2012-02-20 Cecile Monthus , Thomas Garel

We investigate and contrast, via entropic sampling based on the Wang-Landau algorithm, the effects of quenched bond randomness on the critical behavior of two Ising spin models in 2D. The random bond version of the superantiferromagnetic…

统计力学 · 物理学 2008-11-11 N G Fytas , A Malakis , I A Hadjiagapiou

We study the critical behavior of a general class of cubic-symmetric spin systems in which disorder preserves the reflection symmetry $s_a\to -s_a$, $s_b\to s_b$ for $b\not= a$. This includes spin models in the presence of random…

统计力学 · 物理学 2011-07-19 Pasquale Calabrese , Andrea Pelissetto , Ettore Vicari

The critical behavior of the XY model on small-world network is investigated by means of dynamic Monte Carlo simulations. We use the short-time relaxation scheme, i.e., the critical behavior is studied from the nonequilibrium relaxation to…

无序系统与神经网络 · 物理学 2009-11-10 Kateryna Medvedyeva , Petter Holme , Petter Minnhagen , Beom Jun Kim

In three dimensions, or more generally, below the upper critical dimension, scaling laws for critical phenomena seem well understood, for both infinite and for finite systems. Above the upper critical dimension of four, finite-size scaling…

统计力学 · 物理学 2007-05-23 M. A. Sumour , D. Stauffer , M. M. Shabat , A. H. El-Astal

We review studies of entanglement entropy in systems with quenched randomness, concentrating on universal behavior at strongly random quantum critical points. The disorder-averaged entanglement entropy provides insight into the quantum…

无序系统与神经网络 · 物理学 2015-05-13 Gil Refael , Joel E. Moore

We consider the effect of quenched spatial disorder on systems of interacting, pinned non-Abelian anyons as might arise in disordered Hall samples at filling fractions \nu=5/2 or \nu=12/5. In one spatial dimension, such disordered anyon…

强关联电子 · 物理学 2012-06-06 C. R. Laumann , D. A. Huse , A. W. W. Ludwig , G. Refael , S. Trebst , M. Troyer

We report our Monte Carlo results on the critical and multicritical behavior of the +- J Ising model [with a random-exchange probability P(J_{xy}) = p \delta(J_{xy} - J) + (1-p) \delta(J_{xy} + J)], in two and three dimensions. We study the…

无序系统与神经网络 · 物理学 2009-02-17 Martin Hasenbusch , Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

We have developed a very efficient numerical algorithm of the strong disorder renormalization group method to study the critical behaviour of the random transverse-field Ising model, which is a prototype of random quantum magnets. With this…

无序系统与神经网络 · 物理学 2011-09-21 István A. Kovács , Ferenc Iglói

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

Uncovering and understanding universal dynamics in matter far from equilibrium remains a key challenge. In this work, we identify a so far unrecognized form of universal behavior that emerges after a sudden symmetry-breaking quench at…

量子物理 · 物理学 2026-05-11 Tobias Wiener , Laurin Brunner , Markus Heyl

We analyze critical points that can be induced in glassy systems by the presence of constraints. These critical points are predicted by the Mean Field Thermodynamic approach and they are precursors of the standard glass transition in…

统计力学 · 物理学 2014-04-01 Silvio Franz , Giorgio Parisi

Directed sandpile models with different toppling rules are studied by means of numerical simulations in two dimensions, with the purpose of determining the different universality classes. It is concluded that the random-threshold directed…

统计力学 · 物理学 2007-05-23 Alexei Vazquez

Using dynamic renormalization group we study the transport in driven diffusive systems in the presence of quenched random drift velocity with long-range correlations along the transport direction. In dimensions $d\mathopen< 4$ we find fixed…

统计力学 · 物理学 2009-10-31 Bosiljka Tadic

We study the probability distribution P(M) of the order parameter (average magnetization) M, for the finite-size systems at the critical point. The systems under consideration are the 3-dimensional Ising model on a simple cubic lattice, and…

统计力学 · 物理学 2009-10-31 M. M. Tsypin , H. W. J. Blöte

The critical behavior of the Binder cumulant for Ising spin glasses in dimension four are studied through simulation measurements. Data for the bimodal interaction model are compared with those for the Laplacian interaction model. Special…

无序系统与神经网络 · 物理学 2015-04-22 P. H. Lundow , I. A. Campbell
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