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After a short introduction on frustrated spin systems, we study in this chapter several two-dimensional frustrated Ising spin systems which can be exactly solved by using vertex models. We show that these systems contain most of the…

统计力学 · 物理学 2020-01-01 H. T. Diep , H. Giacomini

Spin ice systems represent a prime example of constrained spin systems and exhibit rich low-energy physics. In this study, we explore how introducing a tunable anisotropic spin coupling to the conventional Ising spin ice Hamiltonian on the…

强关联电子 · 物理学 2025-10-28 Gloria Isbrandt , Frank Pollmann , Michael Knap

Dynamical freezing is a phenomenon where a set of local observables emerges as approximate but stable conserved quantities (freezes) under a strong periodic drive in a closed quantum system. The expectation values of these emergent…

统计力学 · 物理学 2024-10-23 Krishanu Roychowdhury , Arnab Das

Critical slowing down dynamics of supercooled glass-forming liquids is usually understood at the mean-field level in the framework of Mode Coupling Theory, providing a two-time relaxation scenario and power-law behaviors of the time…

无序系统与神经网络 · 物理学 2013-01-30 Ulisse Ferrari , Luca Leuzzi , Giorgio Parisi , Tommaso Rizzo

We consider a frustrated spin model with a glassy dynamics characterized by a slow component and a fast component in the relaxation process. The slow process involves variables with critical behavior at finite temperature T_p and has a…

无序系统与神经网络 · 物理学 2016-11-23 Giancarlo Franzese

We study frustrated quantum systems from a quantum information perspective. Within this approach, we find that highly frustrated systems do not follow any general ''area law'' of block entanglement, while weakly frustrated ones have area…

量子物理 · 物理学 2008-10-30 Aditi Sen De , Ujjwal Sen , Jacek Dziarmaga , Anna Sanpera , Maciej Lewenstein

The critical relaxation from the low-temperature ordered state of the three-dimensional fully frustrated Ising model on a simple cubic lattice has been studied using the short time dynamics method. Particles with the periodic boundary…

统计力学 · 物理学 2016-11-10 V. A. Mutailamov , A. K. Murtazaev

We explore the relaxation dynamics of elementary spin clusters of a kinetically constrained spin system. Inspired by experiments with Rydberg lattice gases, we focus on the situation in which an excited spin leads to a "facilitated"…

量子气体 · 物理学 2021-09-01 Matteo Magoni , Paolo P. Mazza , Igor Lesanovsky

Dissipative structures are generally observed when a system relaxes from a far from equilibrium state. To address the reverse question given by the title, we investigate the relaxation process in a closed chemical reaction-diffusion system…

斑图形成与孤子 · 物理学 2007-05-23 Akinori Awazu , Kunihiko Kaneko

Uniaxial compressive strain along the [001] direction strongly suppresses the spin relaxation in silicon. When the strain level is large enough so that electrons are redistributed only in the two valleys along the strain axis, the dominant…

材料科学 · 物理学 2017-01-19 Oleg Chalaev , Yang Song , Hanan Dery

We investigate the influence of space curvature, and of the associated "frustration", on the dynamics of a model glassformer: a monatomic liquid on the hyperbolic plane. We find that the system's fragility, i.e. the sensitivity of the…

统计力学 · 物理学 2008-10-15 François Sausset , Gilles Tarjus , Pascal Viot

The relaxation dynamics of zero range process (ZRP) has always been an interesting problem. In this study, we set up the relationship between ZRP and traps model, and investigate the slow dynamics of ZRP in the framework of traps model.…

统计力学 · 物理学 2015-06-04 Kai Qi , Ming Tang , Aixiang Cui , Yan Fu

We propose and analyze a stabilizing iteration scheme for the algorithmic implementation of model predictive control for linear discrete-time systems. Polytopic input and state constraints are considered and handled by means of so-called…

最优化与控制 · 数学 2016-04-07 Christian Feller , Christian Ebenbauer

The features of the response of frustrated states to the external field are considered on the example of a diluted Ising chain. In the ferromagnetic case, partial ordering occurs, which leads to a decrease in entropy. In the…

统计力学 · 物理学 2024-11-12 Yury Panov

Quenched disorder effects on frustrated systems are explored by considering random fluctuations on the antiferromagnetic (AF) interactions between spins on the checkerboard lattice. The replica framework is adopted within a cluster…

无序系统与神经网络 · 物理学 2022-04-13 F. M. Zimmer , W. C. Silva , M. Schmidt , S. G. Magalhaes

We numerically investigate the long-time behavior of the density-density auto-correlation function in driven lattice gases with particle exclusion and periodic boundary conditions in one, two, and three dimensions using precise Monte Carlo…

统计力学 · 物理学 2011-05-06 George L. Daquila , Uwe C. Tauber

Biomolecular condensates are cellular phase-separated droplets that usually exhibit a viscoelastic mechanical response. A behavior rationalized by modeling the complex molecules that make up a condensate as stickers and spacers, which…

软凝聚态物质 · 物理学 2026-03-11 Hugo Le Roy , Paolo De Los Rios

We study the non-equilibrium dynamics of a one-dimensional Bose gas with long-range interactions that decay as $(\frac{1}{r^{\alpha}})$ $(0.5 < \alpha <4.0$). We investigate exotic dynamics when the interactions are suddenly switched from…

量子气体 · 物理学 2025-01-10 P. Molignini , B. Chakrabarti

We present a method to analyze magnetic properties of frustrated Ising spin models on specific hierarchical lattices with random dilution. Disorder is induced by dilution and geometrical frustration rather than randomness in the internal…

无序系统与神经网络 · 物理学 2013-08-13 Jean-Yves Fortin

We study the emergence of confinement in the transverse field Ising model on a decorated hexagonal lattice. Using an infinite tensor network state optimised with belief propagation we show how a quench from a broken symmetry state leads to…

量子物理 · 物理学 2024-03-06 Joseph Tindall , Dries Sels