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In systems displaying a bulk first-order transition the order parameter may vanish continuously at a free surface, a phenomenon which is called surface-induced disorder. In the presence of surface-induced disorder the correlation lengths,…

统计力学 · 物理学 2007-05-23 L. Turban , F. Igloi

In quenched disordered systems, the existence of ordering is generally believed to be only possible in the weak disorder regime (disregarding models of spin-glass type). In particular, sufficiently large random fields is expected to…

数学物理 · 物理学 2025-04-17 Andrew C. Yuan , Nick Crawford

We present a simple and powerful method for extrapolating finite-volume Monte Carlo data to infinite volume, based on finite-size-scaling theory. We discuss carefully its systematic and statistical errors, and we illustrate it using three…

高能物理 - 格点 · 物理学 2009-10-28 Sergio Caracciolo , Robert G. Edwards , Sabino J. Ferreira , Andrea Pelissetto , Alan D. Sokal

This study investigates in detail the finite-size scaling of the two-dimensional irrationally frustrated XY model. By means of Monte Carlo simulations with entropic sampling, we examine the size dependence of the specific heat, and find…

凝聚态物理 · 物理学 2007-05-23 Sung Yong Park , M. Y. Choi , Beom Jun Kim , Gun Sang Jeon , Jean S. Chung

Scaling relations are used to study cross-overs, due to anisotropic spin interactions or single ion anisotropy, and due to disorder, in the thermodynamics and correlation functions near quantum-critical transitions. The principal results…

强关联电子 · 物理学 2018-06-19 Chandra M. Varma

We investigate finite-size effects in quantum systems at first-order quantum transitions. For this purpose we consider the one-dimensional q-state Potts models which undergo a first-order quantum transition for any q>4, separating the…

统计力学 · 物理学 2015-05-13 Massimo Campostrini , Jacopo Nespolo , Andrea Pelissetto , Ettore Vicari

We present results of large-scale Monte Carlo simulations for a three-dimensional Ising model with short range interactions and planar defects, i.e., disorder perfectly correlated in two dimensions. We show that the phase transition in this…

无序系统与神经网络 · 物理学 2009-11-10 Rastko Sknepnek , Thomas Vojta

We study the quantum phase transition in the three-dimensional disordered itinerant antiferromagnet by Monte-Carlo simulations of the order-parameter field theory. We find strong evidence for the transition being controlled by an…

无序系统与神经网络 · 物理学 2007-05-23 Rastko Sknepnek , Thomas Vojta

We consider the effect of weak uncorrelated quenched disorder (point defects) on a strongly fluctuating flux-line liquid. We use a hydrodynamic model which is based on mapping the flux-line system onto a quantum liquid of relativistic…

超导电性 · 物理学 2009-11-11 Panayotis Benetatos , M. Cristina Marchetti

Phase transitions induced by varying the strength of disorder in the large-q state Potts model in 3d are studied by analytical and numerical methods. By switching on the disorder the transition stays of first order, but different…

无序系统与神经网络 · 物理学 2007-05-23 M. T. Mercaldo , J-Ch. Anglès d'Auriac , F. Iglói

We discuss the two- and three-point correlators in the two-dimensional three-state Potts model in the high-temperature phase of the model. By using the form factor approach and perturbed conformal field theory methods we are able to…

高能物理 - 理论 · 物理学 2011-02-16 M. Caselle , G. Delfino , P. Grinza , O. Jahn , N. Magnoli

Using single cluster flip Monte Carlo simulations we accurately determine new finite size scaling functions which are expressed only in terms the variable $x = \xi_L / L$, where $\xi_L$ is the correlation length in a finite system of size…

凝聚态物理 · 物理学 2009-10-28 Jae-Kwon Kim , Adauto J. F. de Souza\cite{addr} , D. P. Landau

Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional Ising and XY models with long-range correlated disorder at criticality, in the case corresponding to linear defects. The static and dynamic…

无序系统与神经网络 · 物理学 2007-09-10 V. Prudnikov , P. Prudnikov , B. Zheng , S. Dorofeev , V. Kolesnikov

Lattice Monte-Carlo simulations were performed to study the equilibrium ordering in a two-dimensional nematic system with quenched random disorder. When the disordering field, which competes against the aligning effect of the Frank…

无序系统与神经网络 · 物理学 2009-10-31 Y. -K. Yu , P. L. Taylor , E. M. Terentjev

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

Finite-size effects in the generalized fractal dimensions $d_q$ are investigated numerically. We concentrate on a one-dimensional disordered model with long-range random hopping amplitudes in both the strong- and the weak-coupling regime.…

无序系统与神经网络 · 物理学 2007-05-23 E. Cuevas

Large-scale Monte Carlo simulations of the bond-diluted three-dimensional 4-state Potts model are performed. The phase diagram and the physical properties at the phase transitions are studied using finite-size scaling techniques. Evidences…

统计力学 · 物理学 2007-05-23 Christophe Chatelain , Bertrand Berche , Wolfhard Janke , Pierre-Emmanuel Berche

Quenched disorder - in the sense of the Harris criterion - is generally a relevant perturbation at an absorbing state phase transition point. Here using a strong disorder renormalization group framework and effective numerical methods we…

统计力学 · 物理学 2009-11-10 Jef Hooyberghs , Ferenc Igloi , Carlo Vanderzande

It is shown that random quantum spin systems with centered disorder satisfy correlation inequalities previously proved (arXiv:cond-mat/0612371) in the classical case. Consequences include monotone approach of pressure and ground state…

统计力学 · 物理学 2015-05-13 Pierluigi Contucci , Joel L. Lebowitz

We study a generalization of site percolation on a simple cubic lattice, where not only single sites are removed randomly, but also entire parallel columns of sites. We show that typical clusters near the percolation transition are very…

无序系统与神经网络 · 物理学 2017-09-11 Peter Grassberger , Marcelo R. Hilario , Vladas Sidoravicius