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Accurate numerical results are presented for the three-dimensional equivalent-neighbor model on a cubic lattice, for twelve different interaction ranges (coordination number between 18 and 250). These results allow the determination of the…

统计力学 · 物理学 2009-10-31 Erik Luijten

We study the link overlap between two replicas of an Ising spin glass in three dimensions using the Migdal-Kadanoff approximation and scaling arguments based on the droplet picture. For moderate system sizes, the distribution of the link…

无序系统与神经网络 · 物理学 2009-10-31 Barbara Drossel , Hemant Bokil , M. A. Moore , A. J. Bray

We present basic properties of Dipolar SLEs, a new version of stochastic Loewner evolutions (SLE) in which the critical interfaces end randomly on an interval of the boundary of a planar domain. We present a general argument explaining why…

数学物理 · 物理学 2011-02-16 M. Bauer , D. Bernard , J. Houdayer

The distribution of the fractal dimension of the two-dimensional Ising model at the critical temperature measured by the Monte-Carlo simulation is discussed. At small spatio-temporal scales it exhibits a multifractal behavior and is well…

统计力学 · 物理学 2009-11-07 W. Sakikawa , O. Narikiyo

We investigate the critical behaviour of the two-dimensional Ising model defined on a curved surface with a constant negative curvature. Finite-size scaling analysis reveals that the critical exponents for the zero-field magnetic…

统计力学 · 物理学 2009-11-11 Hiroyuki Shima , Yasunori Sakaniwa

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 approach the study of non--integrable models of two--dimensional quantum field theory as perturbations of the integrable ones. By exploiting the knowledge of the exact $S$-matrix and Form Factors of the integrable field theories we…

高能物理 - 理论 · 物理学 2008-11-26 G. Delfino , G. Mussardo , P. Simonetti

We investigated numerically an Ising model coupled to two-dimensional Euclidean gravity with spherical topology, using Regge calculus with the $dl/l$ path-integral measure to discretize the gravitational interaction. Previous studies of…

高能物理 - 格点 · 物理学 2009-10-28 Christian Holm , Wolfhard Janke

Inverse Laplace transform on the lattice spacing is introduced as a computational framework of the extrapolation of the strong coupling expansion to the scaling region. We apply the transform to the two-dimensional non-linear O(N) model at…

高能物理 - 格点 · 物理学 2013-02-01 Hirofumi Yamada

Using transfer-matrix extended phenomenological renormalization-group methods the critical properties of spin-1/2 Ising model on a simple-cubic lattice with partly anisotropic coupling strengths ${\vec J}=(J',J',J)$ are studied.…

统计力学 · 物理学 2009-11-10 M. A. Yurishchev

We study phase separation in two dimensions in the scaling limit below criticality. The general form of the magnetization profile as the volume goes to infinity is determined exactly within the field theoretical framework which explicitly…

高能物理 - 理论 · 物理学 2012-10-31 Gesualdo Delfino , Jacopo Viti

We report an effective functional form for the spin-spin correlation function of the 2D Ising model as a function of temperature and field. Although the Ising model has been well studied, no analytical result for the spin-spin correlation…

统计力学 · 物理学 2013-07-29 Yan-Jiun Chen , Natalie M. Paquette , Benjamin B. Machta , James P. Sethna

In this paper, we introduce new reference observables to establish a scaling formula in the renormalization group equation. Using the transfer matrix method, we calculate the two point observables of the one dimensional Ising model without…

概率论 · 数学 2024-05-14 Cui Kaiyuan , Gong Fuzhou

We study the four-dimensional Ising spin glass with Gaussian and bond-diluted bimodal distributed interactions via large-scale Monte Carlo simulations and show via an extensive finite-size scaling analysis that four-dimensional Ising spin…

无序系统与神经网络 · 物理学 2008-06-20 Thomas Jorg , Helmut G. Katzgraber

We consider interfaces between critical spin-chains in different universality classes, described in the continuum limit by defect/interface conformal field theory (DCFT/ICFT). We find a new conformal interface between the Tricritical Ising…

高能物理 - 理论 · 物理学 2026-05-25 António Antunes , Junchen Rong

We calculate the two-point correlation function and magnetic susceptibility in the anisotropic 2D Ising model on a lattice with one infinite and the other finite dimension, along which periodic boundary conditions are imposed. Using exact…

可精确求解与可积系统 · 物理学 2011-11-10 A. I. Bugrij , O. Lisovyy

The study of the Ising model from a percolation perspective has played a significant role in the modern theory of critical phenomena. We consider the celebrated square-lattice Ising model and construct percolation clusters by placing bonds,…

统计力学 · 物理学 2025-09-30 Tao Chen , Jinhong Zhu , Wei Zhong , Sheng Fang , Youjin Deng

Using Wilson renormalization group, we show that if no integrated vector operator of scaling dimension $-1$ exists, then scale invariance implies conformal invariance. By using the Lebowitz inequalities, we prove that this necessary…

统计力学 · 物理学 2016-02-10 Bertrand Delamotte , Matthieu Tissier , Nicolás Wschebor

Recently, it has been shown that, when the dimension of a graph turns out to be infinite dimensional in a broad sense, the upper critical surface and the corresponding critical behavior of an arbitrary Ising spin glass model defined over…

无序系统与神经网络 · 物理学 2011-11-10 Massimo Ostilli

We use lateral spin valves with varying interface resistance to measure non-local Hanle effect in order to extract the spin-diffusion length of the non-magnetic channel. A general expression that describes spin injection and transport,…

介观与纳米尺度物理 · 物理学 2015-10-12 Estitxu Villamor , Luis E. Hueso , Fèlix Casanova