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The presence of frozen-in or quenched disorder in a system can often modify the nature of its phase transition. A particular instance of this phenomenon is the so-called rounding effect: it has been shown in many cases that the free-energy…

数学物理 · 物理学 2014-11-14 Hubert Lacoin

We study the quenched disordered magnetic system, which is obtained from the 2D SO(3) quantum Heisenberg model, on a square lattice, with nearest neighbors interaction, by taking a Gaussian random distribution of couplings centered in an…

强关联电子 · 物理学 2015-05-13 C. M. S. da Conceição , E. C. Marino

We consider a polymer, with monomer locations modeled by the trajectory of a Markov chain, in the presence of a potential that interacts with the polymer when it visits a particular site 0. We assume that probability of an excursion of…

概率论 · 数学 2007-05-23 Kenneth S. Alexander

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 surface scaling behavior of a semi-infinite $d$-dimensional O(N) spin system in the presence of quenched random field and random anisotropy disorders. It is known that above the lower critical dimension $d_{\mathrm{lc}}=4$ the…

无序系统与神经网络 · 物理学 2012-09-06 Andrei A. Fedorenko

We investigate the effects of quenched disorder on first-order quantum phase transitions on the example of the $N$-color quantum Ashkin-Teller model. By means of a strong-disorder renormalization group, we demonstrate that quenched disorder…

强关联电子 · 物理学 2013-01-17 Fawaz Hrahsheh , José A. Hoyos , Thomas Vojta

The short-time dynamic evolution of an Ising model embedded in an infinitely ramified fractal structure with noninteger Hausdorff dimension was studied using Monte Carlo simulations. Completely ordered and disordered spin configurations…

统计力学 · 物理学 2009-11-11 M. A. Bab , G. Fabricius , E. V. Albano

We present results on the first excited states for the random-field Ising model. These are based on an exact algorithm, with which we study the excitation energies and the excitation sizes for two- and three-dimensional random-field Ising…

无序系统与神经网络 · 物理学 2009-11-13 Martin Zumsande , Mikko J. Alava , Alexander K. Hartmann

The finite temperature phase diagram for the 2D attractive fermion Hubbard model with spin-dependent disorder is considered within Bogoliubov-de Gennes mean field theory. Three types of disorder are studied. In the first, only one species…

超导电性 · 物理学 2013-08-12 Ravindra Nanguneri , Mi Jiang , Tyler Cary , George G. Batrouni , Richard T. Scalettar

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…

统计力学 · 物理学 2018-06-26 Erol Vatansever , Nikolaos G. Fytas

The Imry-Ma phenomenon, predicted in 1975 by Imry and Ma and rigorously established in 1989 by Aizenman and Wehr, states that first-order phase transitions of low-dimensional spin systems are `rounded' by the addition of a quenched random…

数学物理 · 物理学 2024-08-01 Paul Dario , Matan Harel , Ron Peled

We investigate equilibrium statistical properties of the quantum XY spin-1/2 model in an external magnetic field when the interaction and field parts are subjected to quenched or/and annealed disorder. The randomness present in the system…

无序系统与神经网络 · 物理学 2017-07-05 Anindita Bera , Debraj Rakshit , Aditi Sen De , Ujjwal Sen

Randomness is known to affect the dynamical behaviour of many systems to a large extent. In this paper we investigate how the nature of randomness affects the dynamics in a zero temperature quench of Ising model on two types of random…

统计力学 · 物理学 2013-05-29 Soham Biswas , Parongama Sen

We consider the effects of the non-local Ising-like "core spin" correlations on the order-parameter fluctuation contribution to the resistivity and thermodynamics of metals showing Ising-like order at finite temperature. We employ the…

超导电性 · 物理学 2010-10-07 Mukul S. Laad , Luis Craco

We study the relaxation of the local ferromagnetic order in the transverse field quantum Ising chain with power-law decaying interactions $1/r^{\alpha}$. We prepare the system in the GHZ state and study the time evolution of the probability…

强关联电子 · 物理学 2022-04-20 Nishan Ranabhat , Mario Collura

We present the first example of a phase transition in a nonequilibrium steady-state that can be argued analytically to be first order. The system of interest is a two-species reaction-diffusion problem whose control parameter is the total…

统计力学 · 物理学 2009-09-25 K. Oerding , F. van Wijland , J. -P. Leroy , H. J. Hilhorst

We investigate the effects of rare regions on the dynamics of Ising magnets with planar defects, i.e., disorder perfectly correlated in two dimensions. In these systems, the magnetic phase transition is smeared because static long-range…

统计力学 · 物理学 2009-11-10 Bernard Fendler , Rastko Sknepnek , Thomas Vojta

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

We investigate thermodynamic phase transitions of the joint presence of spin glass (SG) and random field (RF) using a random graph model that allows us to deal with the quenched disorder. Therefore, the connectivity becomes a controllable…

无序系统与神经网络 · 物理学 2021-02-24 R. Erichsen , A. Silveira , S. G. Magalhaes

The infinite-range-interaction Ising spin glass is considered in the presence of an external random magnetic field following a trimodal (three-peak) distribution. The model is studied through the replica method and phase diagrams are…

统计力学 · 物理学 2009-10-31 J. M. de Araujo , F. D. Nobre , F. A. da Costa