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We study the qualitative and quantitative properties of the Barkhausen noise emerging at finite temperatures in random Ising models. The random-bond Ising Model is studied with a Wolff cluster Monte-Carlo algorithm to monitor the avalanches…

Statistical Mechanics · Physics 2025-05-23 Federico Ettori , Filippo Perani , Stefano Turzi , Paolo Biscari

The two-dimensional (2D) random-bond Ising model has a novel multicritical point on the ferromagnetic to paramagnetic phase boundary. This random phase transition is one of the simplest examples of a 2D critical point occurring at both…

Statistical Mechanics · Physics 2009-10-28 Sora Cho , Matthew P. A. Fisher

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

With sintered needles aligned and a magnetic field applied transverse to its easy axis, the rare-earth ferromagnet Nd$_2$Fe$_{14}$B becomes a room-temperature realization of the Random Field Ising Model. The transverse field tunes the…

Disordered Systems and Neural Networks · Physics 2015-02-17 J. Xu , D. M. Silevitch , K. A. Dahmen , T. F. Rosenbaum

Dynamics of Ising models is a much studied phenomenon and has emerged as a rich field of present-day research. An important dynamical feature commonly studied is the quenching phenomenon below the critical temperature. In this thesis we…

Statistical Mechanics · Physics 2016-03-08 Soham Biswas

We investigate the effects of quenched bond randomness on the critical properties of the two-dimensional ferromagnetic Ising model embedded in a triangular lattice. The system is studied in both the pure and disordered versions by the same…

Statistical Mechanics · Physics 2010-04-16 Nikolaos G. Fytas , Anastasios Malakis

The universality class, even the order of the transition, of the two-dimensional Ising model depends on the range and the symmetry of the interactions (Onsager model, Baxter-Wu model, Turban model, etc.), but the critical temperature is…

Statistical Mechanics · Physics 2009-11-13 Laszlo Kornyei , Michel Pleimling , Ferenc Igloi

We study numerically the region above the critical temperature of the four dimensional Random Field Ising Model. Using a cluster dynamic we measure the connected and disconnected magnetic susceptibility and the connected and disconnected…

Disordered Systems and Neural Networks · Physics 2009-10-30 Roberto Sacconi

We study the correlated-disorder driven zero-temperature phase transition of the Random-Field Ising Magnet using exact numerical ground-state calculations for cubic lattices. We consider correlations of the quenched disorder decaying…

Disordered Systems and Neural Networks · Physics 2015-05-28 Björn Ahrens , Alexander K. Hartmann

Renyi Mutual information (RMI), computed from second Renyi entropies, can identify classical phase transitions from their finite-size scaling at the critical points. We apply this technique to examine the presence or absence of finite…

Disordered Systems and Neural Networks · Physics 2018-04-04 P. V. Sriluckshmy , Ipsita Mandal

Order parameter fluctuations for the two dimensional Ising model in the region of the critical temperature are presented. A locus of temperatures T*(L) and of magnetic fields B*(L) are identified, for which the probability density function…

Statistical Mechanics · Physics 2009-11-10 Maxime Clusel , Jean-Yves Fortin , Peter C. W. Holdsworth

We study the ferromagnetic transverse-field Ising model with quenched disorder at $T = 0$ in one and two dimensions by means of stochastic series expansion quantum Monte Carlo simulations using a rigorous zero-temperature scheme. Using a…

Strongly Correlated Electrons · Physics 2024-08-28 C. Krämer , J. A. Koziol , A. Langheld , M. Hörmann , K. P. Schmidt

We study the critical behavior of a quenched random-exchange Ising model with competing interactions on a bcc lattice. This model was introduced in the study of the magnetic behavior of Fe_{1-x}Ru_x alloys for ruthenium concentrations x=0%,…

Statistical Mechanics · Physics 2017-10-31 I. J. L. Diaz , N. S. Branco

For the 2D Ising model, we analyzed dependences of thermodynamic characteristics on number of spins by means of computer simulations. We compared experimental data obtained using the Fisher-Kasteleyn algorithm on a square lattice with…

Disordered Systems and Neural Networks · Physics 2020-02-04 Boris V. Kryzhanovsky , Magomed Yu. Malsagov , Iakov M. Karandashev

We study finite temperature properties of metals close to an Ising-nematic quantum critical point in two spatial dimensions. In particular we show that at any finite temperature there is a regime where order parameter fluctuations are…

Strongly Correlated Electrons · Physics 2016-11-15 Matthias Punk

We consider the two-dimensional randomly site diluted Ising model and the random-bond +-J Ising model (also called Edwards-Anderson model), and study their critical behavior at the paramagnetic-ferromagnetic transition. The critical…

Disordered Systems and Neural Networks · Physics 2009-11-13 M. Hasenbusch , F. Parisen Toldin , A. Pelissetto , E. Vicari

We study the critical behavior and the out-of-equilibrium dynamics of a two-dimensional Ising model with non-static interactions. In our model, bonds are dynamically changing according to a majority rule depending on the set of closest…

Statistical Mechanics · Physics 2014-12-10 Oscar A. Pinto , Federico Romá , Sebastian Bustingorry

High-order cumulants and factorial cumulants of conserved charges are suggested to study the critical dynamics in heavy-ion collision experiments. In this paper, using the parametric representation of the three-dimensional Ising model which…

Nuclear Theory · Physics 2022-03-22 Xue Pan

Crackling noise is observed in many disordered non-equilibrium systems in response to slowly changing external conditions. Examples range from Barkhausen noise in magnets to acoustic emission in martensites to earthquakes. Using the…

Statistical Mechanics · Physics 2009-11-07 A. Travesset , R. A. White , K. A. Dahmen

The critical behavior of the disordered ferromagnetic Ising model is studied numerically by the Monte Carlo method in a wide range of variation of concentration of nonmagnetic impurity atoms. The temperature dependences of correlation…

Disordered Systems and Neural Networks · Physics 2007-09-11 V. Prudnikov , P. Prudnikov , A. Vakilov , A. Krinitsyn
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