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We investigate a disordered multi-dimensional linear system in which the interaction parameters vary stochastically in time with defined temporal correlations. We refer to this type of disorder as "annealed", in contrast to quenched…

无序系统与神经网络 · 物理学 2025-02-07 Francesco Ferraro , Christian Grilletta , Amos Maritan , Samir Suweis , Sandro Azaele

We study a continuous quasi-two-dimensional order-disorder phase transition that occurs in a simple model of a material that is inhomogeneously strained due to the presence of dislocation lines. Performing Monte Carlo simulations of…

统计力学 · 物理学 2010-09-15 Charo I. Del Genio , Kevin E. Bassler

The influence of uncorrelated, quenched disorder on the phase transition of two dimensional Potts models will be reviewed. After an introduction where the conditions of relevance of quenched randomness on phase transitions are exemplified…

无序系统与神经网络 · 物理学 2007-05-23 Bertrand Berche , Christophe Chatelain

We determine the asymptotic relaxation rate of a Brownian particle in a harmonic potential perturbed by quenched Gaussian disorder, a simplified model for rugged energy landscapes in complex systems. Depending on the properties of the…

统计力学 · 物理学 2025-02-28 Jan Meibohm , Sabine H. L. Klapp

We study the continuous time version of the random walk pinning model, where conditioned on a continuous time random walk Y on Z^d with jump rate \rho>0, which plays the role of disorder, the law up to time t of a second independent random…

概率论 · 数学 2010-04-21 Matthias Birkner , Rongfeng Sun

The current interest in compositionally complex alloys including so called high entropy alloys has caused renewed interest in the general problem of solute hardening. It has been suggested that this problem can be addressed by treating the…

材料科学 · 物理学 2021-09-17 Michael Zaiser , Ronghai Wu

We address the effect of disorder geometry on the critical force in disordered elastic systems. We focus on the model system of a long-range elastic line driven in a random landscape. In the collective pinning regime, we compute the…

统计力学 · 物理学 2016-11-09 Vincent Démery , Vivien Lecomte , Alberto Rosso

We investigate the effect of quenched bond disorder on the two-dimensional three-color Ashkin-Teller model, which undergoes a first-order phase transition in the absence of impurities. This is one of the simplest and striking models in…

无序系统与神经网络 · 物理学 2015-06-24 Arash Bellafard , Sudip Chakravarty , Matthias Troyer , Helmut G. Katzgraber

An intriguing result of statistical mechanics is that a first-order phase transition can be rounded by disorder coupled to energy-like variables. In fact, even more intriguing is that the rounding may manifest itself as a critical point,…

无序系统与神经网络 · 物理学 2012-10-10 Arash Bellafard , Helmut G. Katzgraber , Matthias Troyer , Sudip Chakravarty

We study the equilibrium properties of an Ising model on a disordered random network where the disorder can be quenched or annealed. The network consists of four-fold coordinated sites connected via variable length one-dimensional chains.…

统计力学 · 物理学 2015-06-22 Abdul N. Malmi-Kakkada , Oriol T. Valls , Chandan Dasgupta

Self-propelled particles display unique collective phenomena, due to the intrinsic coupling of density and polarity. For instance, the giant number fluctuation appears in the orientationally ordered state, and the motility-induced phase…

统计力学 · 物理学 2024-09-04 Kyosuke Adachi , Hiroyoshi Nakano

Effects of the averaging over disorder realizations (samples) on the phase behavior are analyzed in terms of the mean field approximation for the random field Ising model with infinite range interactions. It is found that the averaging is…

统计力学 · 物理学 2013-12-03 E. V. Vakarin , W. Dong , J. P. Badiali

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

We consider the random wetting transition on the Cayley tree, i.e. the problem of a directed polymer on the Cayley tree in the presence of random energies along the left-most bonds. In the pure case, there exists a first-order transition…

无序系统与神经网络 · 物理学 2009-03-26 Cecile Monthus , Thomas Garel

The simultaneous effect of both disorder and crystal-lattice pinning on the equilibrium behavior of oriented elastic objects is studied using scaling arguments and a functional renormalization group technique. Our analysis applies to…

统计力学 · 物理学 2009-10-31 Thorsten Emig , Thomas Nattermann

The energy level statistics of 2D electrons with spin-orbit scattering are considered near the disorder induced metal-insulator transition. Using the Ando model, the nearest-level-spacing distribution is calculated numerically at the…

凝聚态物理 · 物理学 2009-10-28 L. Schweitzer , I. Kh. Zharekeshev

For phase transitions in disordered systems, an exact theorem provides a bound on the finite size correlation length exponent: \nu_{FS}<= 2/d. It is believed that the true critical exponent \nu of a disorder induced phase transition…

无序系统与神经网络 · 物理学 2009-10-30 Ferenc Pazmandi , Richard T. Scalettar , Gergely T. Zimanyi

With large-scale Monte Carlo simulations, we investigate the nonsteady relaxation at the dynamic depinning transition in the two-dimensional Gaussian random-field Ising model. The dynamic scaling behavior is carefully analyzed, and the…

统计力学 · 物理学 2023-06-21 Xiaohui Qian , Gaotian Yu , Nengji Zhou

We investigate the effect of quenched bond-disorder on the anisotropic spin-1/2 (XXZ) chain as a model for disorder induced quantum phase transitions. We find non-universal behavior of the average correlation functions for weak disorder,…

无序系统与神经网络 · 物理学 2009-11-07 K. Hamacher , J. Stolze , W. Wenzel

Using high-precision Monte Carlo simulations and finite-size scaling we study the effect of quenched disorder in the exchange couplings on the Blume-Capel model on the square lattice. The first-order transition for large crystal-field…

无序系统与神经网络 · 物理学 2018-04-18 N. G. Fytas , J. Zierenberg , P. E. Theodorakis , M. Weigel , W. Janke , A. Malakis