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The ferromagnet-to-paramagnet transition of the four-dimensional random-field Ising model with Gaussian distribution of the random fields is studied. Exact ground states of systems with sizes up to 32^4 are obtained using graph theoretical…

无序系统与神经网络 · 物理学 2009-11-07 Alexander K. Hartmann

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

We extent the previous determinations of nonasymptotic critical behavior of Phys. Rev B32, 7209 (1985) and B35, 3585 (1987) to accurate expressions of the complete classical-to-critical crossover (in the 3-d field theory) in terms of the…

高能物理 - 理论 · 物理学 2009-11-07 C. Bagnuls , C. Bervillier

We compute the crossover exponent $\phi$ describing the crossover from the random-exchange to the random-field critical behavior in Ising systems. For this purpose, we consider the field-theoretical approach based on the replica method, and…

统计力学 · 物理学 2009-11-10 Pasquale Calabrese , Andrea Pelissetto , Ettore Vicari

A careful Monte Carlo investigation of the phase transition very close to the critical point (T -> Tc, H -> 0) in relatively large d = 3, s = 1/2 Ising lattices did produce critical exponents beta = 0.3126(4) =~ 5/16, delta^{-1} = 0.1997(4)…

统计力学 · 物理学 2007-05-23 Jorge Garcia , Julio A. Gonzalo , Manuel I. Marques

We present an accurate numerical determination of the crossover from classical to Ising-like critical behavior upon approach of the critical point in three-dimensional systems. The possibility to vary the Ginzburg number in our simulations…

统计力学 · 物理学 2009-10-31 Erik Luijten , Kurt Binder

The transverse-field Ising model is widely studied as one of the simplest quantum spin systems. It is known that this model exhibits a phase transition at the critical inverse temperature $\beta_{\mathrm{c}}$, which is determined by the…

数学物理 · 物理学 2025-09-01 Yoshinori Kamijima , Akira Sakai

In extensive Monte Carlo simulations the phase transition of the random field Ising model in three dimensions is investigated. The values of the critical exponents are determined via finite size scaling. For a Gaussian distribution of the…

凝聚态物理 · 物理学 2009-10-28 Heiko Rieger

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…

无序系统与神经网络 · 物理学 2009-10-30 Roberto Sacconi

We consider the massless tricritical Ising model M(4,5) perturbed by the thermal operator in a cylindrical geometry and apply integrable boundary conditions, labelled by the Kac labels (r,s), that are natural off-critical perturbations of…

高能物理 - 理论 · 物理学 2010-04-05 Paul A. Pearce , Leung Chim , Changrim Ahn

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 report a high-precision numerical estimation of the critical exponent $\alpha$ of the specific heat of the random-field Ising model in four dimensions. Our result $\alpha = 0.12(1)$ indicates a diverging specific-heat behavior and is…

无序系统与神经网络 · 物理学 2017-03-07 N. G. Fytas , V. Martin-Mayor , M. Picco , N. Sourlas

We study the critical behavior of the ferromagnetic Ising model on random trees as well as so-called locally tree-like random graphs. We pay special attention to trees and graphs with a power-law offspring or degree distribution whose tail…

概率论 · 数学 2012-11-14 Sander Dommers , Cristian Giardinà , Remco van der Hofstad

Criticality in a fluid of dielectric constant D that exhibits Ising-type behavior is studied as additional electrostatic (i.e., ionic) interactions are turned on. An exploratory perturbative calculation is performed for small ionicity as…

软凝聚态物质 · 物理学 2009-10-31 A. G. Moreira , M. M. Telo da Gama , M. E. Fisher

We determine the scaling functions describing the crossover from Ising-like critical behavior to classical critical behavior in two-dimensional systems with a variable interaction range. Since this crossover spans several decades in the…

统计力学 · 物理学 2009-10-30 Erik Luijten , Henk W. J. Blöte , Kurt Binder

Using a cluster-flipping Monte Carlo algorithm combined with a generalization of the histogram reweighting scheme of Ferrenberg and Swendsen, we have studied the equilibrium properties of the thermal random-field Ising model on a cubic…

凝聚态物理 · 物理学 2009-10-28 M. E. J. Newman , G. T. Barkema

We have numerically determined the behavior of the magnetic susceptibility upon approach of the critical point in two-dimensional spin systems with an interaction range that was varied over nearly two orders of magnitude. The full crossover…

统计力学 · 物理学 2009-10-30 Erik Luijten , Henk W. J. Blöte , Kurt Binder

Results of a study of dc-magnetization M(T, H), performed on a Nd0.6Pb0.4MnO3 single crystal in the temperature range around T_C (Curie temperature) which embraces the critical region | epsilon | = |T -T_C |/T_C <= 0.05 are reported. The…

强关联电子 · 物理学 2009-11-10 M. Sahana , U. K. Roessler , Nilotpal Ghosh , Suja Elizabeth , H. L. Bhat , K. Doerr , D. Eckert , M. Wolf , K. -H. Mueller

We perform estimation of critical exponents via large mass expansion under crucial help of delta-expansion. We address to the three dimensional Ising model at high temperature and estimate omega, the correction-to-scaling exponent, nu, eta…

高能物理 - 格点 · 物理学 2014-10-16 Hirofumi Yamada
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