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相关论文: Finite-size scaling study of the d=4 site-diluted …

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Using finite-size scaling techniques, we study the critical properties of the site-diluted Ising model in four dimensions. We carry out a high statistics Monte Carlo simulation for several values of the dilution. The results support the…

高能物理 - 格点 · 物理学 2009-10-30 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe , G. Parisi , J. J. Ruiz-Lorenzo

In the literature, there are five distinct, fragmented sets of analytic predictions for the scaling behaviour at the phase transition in the random-site Ising model in four dimensions. Here, the scaling relations for logarithmic corrections…

统计力学 · 物理学 2015-05-14 A. Gordillo-Guerrero , R. Kenna , J. J. Ruiz-Lorenzo

Using Finite-Size Scaling techniques we obtain accurate results for critical quantities of the Ising model and the site percolation, in three dimensions. We pay special attention in parameterizing the corrections-to-scaling, what is…

无序系统与神经网络 · 物理学 2008-11-26 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , G. Parisi , J. J. Ruiz-Lorenzo

Finite-size scaling above the upper critical dimension is a long-standing puzzle in the field of Statistical Physics. Even for pure systems various scaling theories have been suggested, partially corroborated by numerical simulations. In…

统计力学 · 物理学 2023-10-30 Nikolaos G. Fytas , Victor Martin-Mayor , Giorgio Parisi , Marco Picco , Nicolas Sourlas

We present a finite-size scaling analysis of high-statistics Monte Carlo simulations of the three-dimensional randomly site-diluted and bond-diluted Ising model. The critical behavior of these systems is affected by slowly-decaying scaling…

无序系统与神经网络 · 物理学 2011-02-16 Martin Hasenbusch , Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

We study the site-diluted Ising model in two dimensions with Monte Carlo simulations. Using finite-size scaling techniques we compute the critical exponents observing deviations from the pure Ising ones. The differences can be explained as…

无序系统与神经网络 · 物理学 2009-10-30 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe , G. Parisi , J. J. Ruiz-Lorenzo

We perform a study of the universality of the finite size scaling functions of interface free energies in the 3d Ising model. Close to the hot/cold phase transition, we observe very good agreement with the same scaling functions of the 4d…

高能物理 - 格点 · 物理学 2015-06-25 M. Pepe , Ph. de Forcrand

The spin-1 XY chain in a transverse field is studied using finite-size scaling. The ground state phase diagram displays a paramagnetic, an ordered ferromagnetic and an ordered oscillatory phase. The paramagnetic-ferromagnetic transition…

凝聚态物理 · 物理学 2009-10-28 Walter Hofstetter , Malte Henkel

A combination of recent numerical and theoretical advances are applied to analyze the scaling behaviour of the site-diluted Ising model in two dimensions, paying special attention to the implications for multiplicative logarithmic…

统计力学 · 物理学 2009-11-13 R. Kenna , J. J. Ruiz-Lorenzo

We study systems with a continuous phase transition that tune their parameters to maximize a quantity that diverges solely at a unique critical point. Varying the size of these systems with dynamically adjusting parameters, the same…

统计力学 · 物理学 2011-03-24 Ole Peters , Michelle Girvan

We study the finite-size scaling of moments of the magnetization in the low-temperature phase of the two-dimensional Ising model.

高能物理 - 格点 · 物理学 2009-10-22 S. Gupta , A. Irbaeck

Finite size effects for the Ising Model coupled to two dimensional random surfaces are studied by exploiting the exact results from the 2-matrix models. The fixed area partition function is numerically calculated with arbitrary precision by…

高能物理 - 理论 · 物理学 2009-10-28 N. D. Hari Dass , B. E. Hanlon , T. Yukawa

The exact determination of ground states of small systems is used in a scaling study of the random-field Ising model. While three variants of the model are found to be in the same universality class in 3 dimensions, the Gaussian and bimodal…

无序系统与神经网络 · 物理学 2009-10-30 Michael R. Swift , Alan J. Bray , Amos Maritan , Marek Cieplak , Jayanth R. Banavar

A finite size scaling theory for the partition function zeros and thermodynamic functions of O(N) phi^4-theory in four dimensions is derived from renormalization group methods. The leading scaling behaviour is mean-field like with…

高能物理 - 格点 · 物理学 2016-09-01 R. Kenna

Energy eigenvalues and order parameters are calculated by exact diagonalization for the transverse Ising model on square lattices of up to 6x6 sites. Finite-size scaling is used to estimate the critical parameters of the model, confirming…

统计力学 · 物理学 2008-11-26 C. J. Hamer

We rederive the finite size scaling formula for the apparent critical temperature by using Mean Field Theory for the Ising Model above the upper critical dimension. We have also performed numerical simulations in five dimensions and our…

凝聚态物理 · 物理学 2009-10-28 Giorgio Parisi , Juan J. Ruiz-Lorenzo

We study numerically the phase-ordering kinetics of the two-dimensional site-diluted Ising model. The data can be interpreted in a framework motivated by renormalization-group concepts. Apart from the usual fixed point of the non-diluted…

统计力学 · 物理学 2013-12-10 Federico Corberi , Eugenio Lippiello , Anupam Mukherjee , Sanjay Puri , Marco Zannetti

Finite size scaling is shown to work very well for the block variables used in intermittency studies on a 2-d Ising lattice. The intermittency exponents so derived exhibit the expected relations to the magnetic critical exponent of the…

高能物理 - 格点 · 物理学 2008-11-26 Z. Burda , K. Zalewski , R. Peschanski , J. Wosiek

We study the two-dimensional kinetic Ising model below its equilibrium critical temperature, subject to a square-wave oscillating external field. We focus on the multi-droplet regime where the metastable phase decays through nucleation and…

统计力学 · 物理学 2009-10-31 G. Korniss , C. J. White , P. A. Rikvold , M. A. Novotny

We show numerically that correlation length at the critical point in the five-dimensional Ising model varies with system size L as L^{5/4}, rather than proportional to L as in standard finite size scaling (FSS) theory. Our results confirm a…

无序系统与神经网络 · 物理学 2009-11-10 Jeff L. Jones , A. P. Young
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