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Spin systems exposed to the influence of random magnetic fields are paradigmatic examples for studying the effect of quenched disorder on condensed-matter systems. In this context, previous studies have almost exclusively focused on systems…

统计力学 · 物理学 2025-04-08 Manoj Kumar , Martin Weigel

In this paper the three dimensional random field Ising model is studied at both zero temperature and positive temperature. Critical exponents are extracted at zero temperature by finite size scaling analysis of large discontinuities in the…

统计力学 · 物理学 2009-11-11 Yong Wu , Jonathan Machta

The effect of quenched impurities on systems which undergo first-order phase transitions is studied within the framework of the q-state Potts model. For large q a mapping to the random field Ising model is introduced which provides a simple…

统计力学 · 物理学 2009-10-30 John Cardy , Jesper Lykke Jacobsen

We analyze the critical behaviour of the three-dimensional, three-state Potts model in the presence of an external ordering field. From a finite size scaling analysis on lattices of size up to 70**3 we determine the critical endpoint of the…

高能物理 - 格点 · 物理学 2009-10-31 Frithjof Karsch , Sven Stickan

The random field Ising model in three dimensions with Gaussian random fields is studied at zero temperature for system sizes up to 60^3. For each realization of the normalized random fields, the strength of the random field, Delta and a…

统计力学 · 物理学 2009-11-07 Ilija Dukovski , Jon Machta

We enlighten some critical aspects of the three-dimensional ($d=3$) random-field Ising model from simulations performed at zero temperature. We consider two different, in terms of the field distribution, versions of model, namely a Gaussian…

无序系统与神经网络 · 物理学 2015-01-13 P. E. Theodorakis , N. G. Fytas

It was recently shown [Phys. Rev. Lett. {\bf 110}, 227201 (2013)] that the critical behavior of the random-field Ising model in three dimensions is ruled by a single universality class. This conclusion was reached only after a proper taming…

无序系统与神经网络 · 物理学 2016-06-21 Nikolaos G. Fytas , Victor Martin-Mayor

Phase transition in the two-dimensional $q$-state Potts model with random ferromagnetic couplings in the large-q limit is conjectured to be described by the isotropic version of the infinite randomness fixed point of the random…

统计力学 · 物理学 2007-05-23 J-Ch. Angles d'Auriac , F. Igloi

The random field Ising model is studied numerically at both zero and positive temperature. Ground states are mapped out in a region of random and external field strength. Thermal states and thermodynamic properties are obtained for all…

统计力学 · 物理学 2009-11-11 Yong Wu , Jon Machta

The phase transition of the three--dimensional random field Ising model with a discrete ($\pm h$) field distribution is investigated by extensive Monte Carlo simulations. Values of the critical exponents for the correlation length, specific…

高能物理 - 格点 · 物理学 2019-06-05 Heiko Rieger , A. P. Young

The phase transition of the three--dimensional random field Ising model with a discrete ($\pm h$) field distribution is investigated by extensive Monte Carlo simulations. Values of the critical exponents for the correlation length, specific…

凝聚态物理 · 物理学 2009-10-22 Heiko Rieger , A. P. Young

We investigate the low-temperature critical behavior of the three dimensional random-field Ising ferromagnet. By a scaling analysis we find that in the limit of temperature $T \to 0$ the usual scaling relations have to be modified as far as…

无序系统与神经网络 · 物理学 2015-06-25 U. Nowak , K. D. Usadel , J. Esser

New advances in experiments on the random-field Ising model, as realized in dilute antiferromagnets, have brought us much closer to a full characterization of the static and dynamic critical behavior of the unusual phase transition in three…

无序系统与神经网络 · 物理学 2008-02-03 D. P. Belanger

We study the zero-temperature criticality of the Ising model on two-dimensional dynamical triangulations to contemplate its physics. As it turns out, an inhomogeneous nature of the system yields an interesting phase diagram and the physics…

高能物理 - 理论 · 物理学 2025-07-22 Jan Ambjørn , Yuki Sato , Tomo Tanaka

The three-dimensional bimodal random-field Ising model is investigated using the N-fold version of the Wang-Landau algorithm. The essential energy subspaces are determined by the recently developed critical minimum energy subspace…

统计力学 · 物理学 2009-11-13 A. Malakis , N. G. Fytas

A brief survey of the theoretical, numerical and experimental studies of the random field Ising model during last three decades is given. Nature of the phase transition in the three-dimensional RFIM with Gaussian random fields is discussed.…

无序系统与神经网络 · 物理学 2009-11-13 Victor Dotsenko

We present numerical simulations of the random field Ising model in three dimensions at zero temperature. The critical exponents are found to agree with previous results. We study the magnetic susceptibility by applying a small magnetic…

无序系统与神经网络 · 物理学 2014-03-21 Marco Picco , Nicolas Sourlas

We investigate the critical behaviour of the three-dimensional, three state Potts model in presence of a negative external field h, i.e. disfavouring one of the three states. A genuine phase transition is present for all values of |h|,…

高能物理 - 格点 · 物理学 2011-07-14 Claudio Bonati , Massimo D'Elia

A system defined by two coupled Ising models, with a bimodal random field acting in one of them, is investigated. The interactions among variables of each Ising system are infinite-ranged, a limit where mean field becomes exact. This model…

统计力学 · 物理学 2014-06-24 Octavio D. Rodriguez Salmon , Fernando Dantas Nobre

In my PhD thesis I studied cooperative phenomena arise in complex systems using the methods of statistical and computational physics. The aim of my work was also to study the critical behaviour of interacting many-body systems during their…

统计力学 · 物理学 2009-07-23 Márton Karsai
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