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We introduce a universal combination of susceptibility and correlation length in the 3D Ising model, depending both on temperature and external magnetic field. Starting from a parametric representation of the equation of state, we study its…

高能物理 - 格点 · 物理学 2021-11-29 Michele Caselle , Marianna Sorba

We investigate the two-dimensional four-color Ashkin-Teller model by means of large-scale Monte-Carlo simulations. We demonstrate that the first-order phase transition of the clean system is destroyed by random disorder introduced via site…

无序系统与神经网络 · 物理学 2017-06-19 Ahmed K. Ibrahim , Thomas Vojta

We study two models having an infinite-disorder critical point --- the zero temperature random transverse-field Ising model and the random contact process --- on a star-like network composed of $M$ semi-infinite chains connected to a common…

无序系统与神经网络 · 物理学 2015-06-19 Róbert Juhász

The upper critical dimension of the Ising model is known to be $d_c=4$, above which critical behavior is regarded as trivial. We hereby argue from extensive simulations that, in the random-cluster representation, the Ising model…

统计力学 · 物理学 2022-09-01 Sheng Fang , Zongzheng Zhou , Youjin Deng

We show using scaling arguments and Monte Carlo simulations that a class of binary interacting models of opinion evolution belong to the Ising universality class in presence of an annealed noise term of finite amplitude. While the zero…

物理与社会 · 物理学 2021-02-03 Sudip Mukherjee , Soumyajyoti Biswas , Arnab Chatterjee , Bikas K. Chakrabarti

The fixed-point structure of three-dimensional bond-disordered Ising models is investigated using the numerical domain-wall renormalization-group method. It is found that, in the +/-J Ising model, there exists a non-trivial fixed point…

无序系统与神经网络 · 物理学 2009-10-31 Koji Hukushima

We study numerically the zero temperature Random Field Ising Model on cubic lattices of various linear sizes $ 6 \le L \le 90 $ in three dimensions with the purpose of verifying the validity of universality for disordered systems. For each…

统计力学 · 物理学 2016-08-31 Nicolas Sourlas

We discuss universal and non-universal critical exponents of a three dimensional Ising system in the presence of weak quenched disorder. Both experimental, computational, and theoretical results are reviewed. Special attention is paid to…

无序系统与神经网络 · 物理学 2016-08-31 R. Folk , Yu. Holovatch , T. Yavors'kii

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

This article gives a brief overview on recent advances in experiments of critical exponents in three groups of magnetic materials. Revisiting experimental data verifies that a universality class with the critical exponents beta = 3/8, gamma…

综合物理 · 物理学 2025-12-03 Zhidong Zhang

We propose a new picture of the renormalization group (RG) approach in the presence of disorder, which considers the RG trajectories of each random sample (realization) separately instead of the usual renormalization of the averaged free…

统计力学 · 物理学 2009-10-31 Karim Bernardet , Ferenc Pazmandi , G. G. Batrouni

Recent advances in conformal field theory and critical phenomena have focused on the characterization of boundary or defects in a conformally invariant system. In this Letter we study the critical behavior of the three-dimensional Ising…

统计力学 · 物理学 2025-09-10 Dorian Przetakiewicz , Stefan Wessel , Francesco Parisen Toldin

We consider disordered ladders of the transverse-field Ising model and study their critical properties and entanglement entropy for varying width, $w \le 20$, by numerical application of the strong disorder renormalization group method. We…

无序系统与神经网络 · 物理学 2015-05-14 Istvan A. Kovacs , Ferenc Igloi

We investigate, by means of extensive Monte Carlo simulations, the magnetic critical behavior of the three-dimensional bimodal random-field Ising model at the strong disorder regime. We present results in favor of the two-exponent scaling…

统计力学 · 物理学 2011-02-09 N. G. Fytas , A. Malakis

The critical behavior of a quenched random hypercubic sample of linear size $L$ is considered, within the ``random-$T_{c}$'' field-theoretical mode, by using the renormalization group method. A finite-size scaling behavior is established…

统计力学 · 物理学 2009-11-07 H. Chamati , E. Korutcheva , N. S. Tonchev

Universal behavior is a typical emergent feature of critical systems. A paramount model of the non-equilibrium critical behavior is the directed bond percolation process that exhibits an active- to-absorbing state phase transition in the…

统计力学 · 物理学 2018-02-16 J. Honkonen , T. Lučivjanský , V. Škultéty

We perform an extensive study of the properties of global quantum correlations in finite-size one-dimensional quantum spin models at finite temperature. By adopting a recently proposed measure for global quantum correlations [C. C. Rulli,…

量子物理 · 物理学 2013-04-24 S. Campbell , L. Mazzola , G. De Chiara , T. J. G Apollaro , F. Plastina , Th. Busch , M. Paternostro

Using a very efficient numerical algorithm of the strong disorder renormalization group method we have extended the investigations about the critical behavior of the random transverse-field Ising model in three and four dimensions, as well…

无序系统与神经网络 · 物理学 2015-05-20 Istvan A. Kovacs , Ferenc Igloi

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…

核理论 · 物理学 2022-03-22 Xue Pan

Using the formalism of differential equations, we introduce a new method to continuously deform the $s$-embeddings associated with a family of Ising models as their coupling constants vary. This provides a geometric interpretation of the…

概率论 · 数学 2025-09-12 Remy Mahfouf