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By molecular dynamics simulation, we have investigated classical Heisenberg spins, which are arrayed on a finite simple cubic lattice and interact with each other only by the dipole-dipole interaction, and have found its peculiar it…

统计力学 · 物理学 2007-05-23 Katsuyoshi Matsushita , Ryoko Sugano , Akiyoshi Kuroda , Yusuke Tomita , Hajime Takayama

We consider the contour representation of the infinite volume Ising model at low temperature. Fix a subset V of Z^d, and a (large) N such that calling G_{N,V} the set of contours of length at least N intersecting V, there are in average one…

概率论 · 数学 2011-11-10 Pablo A. Ferrari , Pierre Picco

We study the crossover behaviors that can be observed in the high-temperature phase of three-dimensional dilute spin systems, using a field-theoretical approach. In particular, for randomly dilute Ising systems we consider the…

统计力学 · 物理学 2016-08-31 Pasquale Calabrese , Pietro Parruccini , Andrea Pelissetto , Ettore Vicari

The site-decorated Ising model is introduced to advance the understanding and experimental realization of the recently discovered one-dimensional (1D) finite-temperature ultranarrow phase crossover in an external magnetic field, while…

统计力学 · 物理学 2026-03-12 Weiguo Yin

We study constrained percolation models on planar lattices including the $[m,4,n,4]$ lattice and the square tilings of the hyperbolic plane, satisfying certain local constraints on faces of degree 4, and investigate the existence of…

概率论 · 数学 2020-01-30 Zhongyang Li

We consider zero-temperature, stochastic Ising models with nearest-neighbor interactions and an initial spin configuration chosen from a symmetric Bernoulli distribution (corresponding physically to a deep quench). Whether a final state…

无序系统与神经网络 · 物理学 2009-10-31 C. M. Newman , D. L. Stein

Fluid-structure systems occur in a range of scientific and engineering applications. The immersed boundary(IB) method is a widely recognized and effective modeling paradigm for simulating fluid-structure interaction(FSI) in such systems,…

There are many factors that influence the design of quantum annealing processing units. Here we address the issue of improving quantum annealing processing unit designs from the point of view of the critical behavior of spin glasses. It has…

量子物理 · 物理学 2018-11-05 Helmut G. Katzgraber , M. A. Novotny

Understanding the interface dynamics in non-equilibrium quantum systems remains a challenge. We study the interface dynamics of strongly coupled immiscible binary superfluids by using holographic duality. The full nonlinear evolution of the…

量子气体 · 物理学 2024-05-30 Yu-Ping An , Li Li , Chuan-Yin Xia , Hua-Bi Zeng

We study the critical properties of finite-dimensional dissipative quantum spin systems with uniform ferromagnetic interactions. Starting from the transverse-field Ising model coupled to a bath of harmonic oscillators with Ohmic spectral…

量子物理 · 物理学 2016-10-06 Kabuki Takada , Hidetoshi Nishimori

We study the roughening transition of the dual of the 2D XY model, of the Discrete Gaussian model, of the Absolute Value Solid-On-Solid model and of the interface in an Ising model on a 3D simple cubic lattice. The investigation relies on a…

凝聚态物理 · 物理学 2008-11-26 M. Hasenbusch , K. Pinn

We study the non-steady relaxation of a driven one-dimensional elastic interface at the depinning transition by extensive numerical simulations concurrently implemented on graphics processing units (GPUs). We compute the time-dependent…

统计力学 · 物理学 2013-06-03 Ezequiel E. Ferrero , Sebastián Bustingorry , Alejandro B. Kolton

In this paper we promote the idea of quantum critical lines ({\em inter alia} surfaces) as opposed to points. A quantum critical line obtains when criticality at zero temperature is extended over a continuum in a one-dimensional line. We…

强关联电子 · 物理学 2023-01-20 Hui Yu , Sudip Chakravarty

Ising model without external field on an infinite Lorentzian triangulation sampled from the uniform distribution is considered. We prove uniqueness of the Gibbs measure in the high temperature region and coexistence of at least two Gibbs…

概率论 · 数学 2008-10-14 Maxim Krikun , Anatoly Yambartsev

We consider a three-dimensional Ising model in a transverse magnetic field, $h$ and a bulk field $H$. An interface is introduced by an appropriate choice of boundary conditions. At the point $(H=0,h=0)$ spin configurations corresponding to…

凝聚态物理 · 物理学 2009-10-28 A. B. Harris , C. Micheletti , J. M. Yeomans

A length-N spin chain with the \sqrt{N}(=v)-th neighbor interaction is identical to a two-dimensional (d=2) model under the screw-boundary (SB) condition. The SB condition provides a flexible scheme to construct a d\ge2 cluster from an…

统计力学 · 物理学 2015-05-30 Yoshihiro Nishiyama

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

At finite temperature and in presence of disorder, a one-dimensional elastic interface displays different scaling regimes at small and large lengthscales. Using a replica approach and a Gaussian Variational Method (GVM), we explore the…

无序系统与神经网络 · 物理学 2010-11-30 Elisabeth Agoritsas , Vivien Lecomte , Thierry Giamarchi

Infinite-range interactions are known to facilitate the production of highly entangled states with applications in quantum information and metrology. However, many experimental systems have interactions that decay with distance, and the…

量子气体 · 物理学 2016-12-26 Michael Foss-Feig , Zhe-Xuan Gong , Alexey V. Gorshkov , Charles W. Clark

The Ising-Kac model is a variant of the ferromagnetic Ising model in which each spin variable interacts with all spins in a neighbourhood of radius $\gamma^{-1}$ for $\gamma \ll 1$ around its base point. We study the Glauber dynamics for…

概率论 · 数学 2015-01-30 Jean-Christophe Mourrat , Hendrik Weber