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We address issues related to the presence of defects at finite-temperature topological transitions, in particular when defects are modeled in terms of further variables associated with a quenched disorder, corresponding to the limit in…

Disordered Systems and Neural Networks · Physics 2026-04-20 Claudio Bonati , Ettore Vicari

We study the two-dimensional Ising model on a network with a novel type of quenched topological (connectivity) disorder. We construct random lattices of constant coordination number and perform large scale Monte Carlo simulations in order…

Statistical Mechanics · Physics 2018-03-07 Manuel Schrauth , Julian A. J. Richter , Jefferson S. E. Portela

We investigate the effects of quenched disorder on the universal properties of a randomly driven Ising lattice gas. The Hamiltonian fixed point of the pure system becomes unstable in the presence of a quenched local bias, giving rise to a…

Condensed Matter · Physics 2009-10-28 B. Schmittmann , K. E. Bassler

We investigate the effects of quenched randomness on the universal properties of a two-temperature lattice gas. The disorder modifies the dynamical transition rates of the system in an anisotropic fashion, giving rise to a new fixed point.…

Statistical Mechanics · Physics 2009-10-28 B. Schmittmann , C. A. Laberge

Usually, the impact of structural disorder on the magnetic phase transition in the 3D Ising model is analyzed within the framework of quenched dilution by a non-magnetic component, where some lattice sites are occupied by Ising spins, while…

Disordered Systems and Neural Networks · Physics 2025-03-04 J. J. Ruiz-Lorenzo , M. Dudka , M. Krasnytska , Yu. Holovatch

We present an extensive study of the effects of quenched disorder on the dynamic phase transitions of kinetic spin models in two dimensions. We undertake a numerical experiment performing Monte Carlo simulations of the square-lattice…

Statistical Mechanics · Physics 2018-06-26 Erol Vatansever , Nikolaos G. Fytas

Critical transitions are of great interest to scientists in many fields. Most knowledge about these transitions comes from systems exhibiting the multistability of spatially uniform states. In spatially extended and, particularly, in…

Pattern Formation and Solitons · Physics 2016-02-17 Hezi Yizhaq , Golan Bel

We study the strong role played by structural (quenched) heterogeneities on static and dynamic properties of the Frustrated Ising Lattice Gas in two dimensions, already in the liquid phase. Differently from the dynamical heterogeneities…

Disordered Systems and Neural Networks · Physics 2009-11-10 Mendeli H. Vainstein , Daniel A. Stariolo , Jeferson J. Arenzon

We study the effects of quenched disorder on the two-dimensional d-wave superconductors (SC's) at zero temperature by Monte-Carlo simulations. The model is defined on the three-dimesional (3D) lattice and the SC pair field is put on each…

Superconductivity · Physics 2009-10-11 Tomonori Shimizu , Shunsuke Doi , Ikuo Ichinose , Tetsuo Matsui

We discuss the effects of quenched disorder on a model of charge density wave (CDW) ordering on the square lattice. Our model may be applicable to the cuprate superconductors, where a random electrostatic potential exists in the CuO2 planes…

Strongly Correlated Electrons · Physics 2007-05-23 Adrian Del Maestro , Bernd Rosenow , Subir Sachdev

Synchronization of two replicas of coupled map lattices for continuous maps is known to be in the multiplicative noise universality class. We study this transition in the presence of quenched disorder in coupling. The disorder is identical…

Statistical Mechanics · Physics 2023-11-02 Naval R. Sabe , Priyanka D. Bhoyar , Prashant M. Gade

It is investigated how a spatial quenched disorder modifies the dynamics of coupled map lattices. The disorder is introduced via the presence or absence of coupling terms among lattice sites. Two nonlinear maps have been considered…

Statistical Mechanics · Physics 2009-11-11 Achille Giacometti , Maurice Rossi , Libero Battiston

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…

Disordered Systems and Neural Networks · Physics 2018-04-18 N. G. Fytas , J. Zierenberg , P. E. Theodorakis , M. Weigel , W. Janke , A. Malakis

We present a study of the influence of different types of disorder on systems in the Ising universality class by employing both a dynamical field theory approach and extensive Monte Carlo simulations. We reproduce some well known results…

Condensed Matter · Physics 2009-10-31 Juan J. Alonso , Miguel A. Munoz

We study the effects of quenched disorder on the first-order phase transition in the two-dimensional three-color Ashkin-Teller model by means of large-scale Monte Carlo simulations. We demonstrate that the first-order phase transition is…

Disordered Systems and Neural Networks · Physics 2015-06-09 Qiong Zhu , Xin Wan , Rajesh Narayanan , José A. Hoyos , Thomas Vojta

We revisit the effects of short-ranged random quenched disorder on the universal scaling properties of the classical $N$-vector model with cubic anisotropy. We set up the nonconserved relaxational dynamics of the model, and study the…

Statistical Mechanics · Physics 2020-09-22 Sudip Mukherjee , Abhik Basu

The transition to an absorbing phase in a spatiotemporal system is a well-investigated nonequilibrium dynamic transition. The absorbing phase transitions fall into a few universality classes, defined by the critical exponents observed at…

Statistical Mechanics · Physics 2025-09-10 Priyanka D. Bhoyar , Govindan Rangarajan , Prashant M. gade

We study the effects of disorder in two-dimensional quantum antiferromagnets on a square lattice, within the nonlinear sigma model approach, by using of a random distribution of spin stiffnesses or zero-temperature-spin-gaps, respectively,…

Condensed Matter · Physics 2007-05-23 C. M. S. Conceicao , E. C. Marino

We study the effects of quenched disorder in a class of quantum chains with (p+1)-multispin interactions exhibiting a free fermionic spectrum, paying special attention to the case p=2. Depending if disorder couples to (i) all the couplings…

Disordered Systems and Neural Networks · Physics 2023-12-22 Francisco C. Alcaraz , José A. Hoyos , Rodrigo A. Pimenta

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…

Disordered Systems and Neural Networks · Physics 2015-06-24 Arash Bellafard , Sudip Chakravarty , Matthias Troyer , Helmut G. Katzgraber
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