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We study a nonequilibrium Ising model that stochastically evolves under the simultaneous operation of several spin-flip mechanisms. In other words, the local magnetic fields change sign randomly with time due to competing kinetics. This…

统计力学 · 物理学 2015-05-18 Nuno Crokidakis

By means of a Floquet analysis, we study the quantum dynamics of a fully connected Lipkin-Ising ferromagnet in a periodically driven transverse field showing that thermalization in the steady state is intimately connected to properties of…

统计力学 · 物理学 2015-08-31 Angelo Russomanno , Rosario Fazio , Giuseppe E. Santoro

Numerical investigation on the thermodynamic properties of an Ising spin Kondo lattice model on a kagome lattice is reported. By using Monte Carlo simulation, we investigated the magnetic phases at 1/3-filling. We identified two successive…

强关联电子 · 物理学 2013-08-28 Hiroaki Ishizuka , Yukitoshi Motome

We investigate deep learning autoencoders for the unsupervised recognition of phase transitions in physical systems formulated on a lattice. We focus our investigation on the 2-dimensional ferromagnetic Ising model and then test the…

We introduce a thermal dynamics for the Ising ferromagnet where the energy variations occurring within the system exhibit a diffusive character typical of thermalizing agents such as e.g. localized excitations. Time evolution is provided by…

统计力学 · 物理学 2009-11-07 P. Buonsante , R. Burioni , D. Cassi , A. Vezzani

We study ground states of Ising models with random ferromagnetic couplings, proving the triviality of all zero-temperature metastates. This unexpected result sheds a new light on the properties of these systems, putting strong restrictions…

数学物理 · 物理学 2016-02-17 Jan Wehr , Aramian Wasielak

In this paper, the phase diagrams and the critical behavior of the spin-1/2 anisotropic XXZ ferromagnetic model (the anisotropic parameter {\Delta}\in(-\infty,1]) on two kinds of diamond-type hierarchical (DH) lattices with fractal…

统计力学 · 物理学 2011-11-03 Xiu-Xing Zhang , Xiang-Mu Kong , Zhong-Yang Gao , Xiao-Song Chen

We study the warming process of a semi-infinite cylindrical Ising lattice initially ordered and coupled at the boundary to a heat reservoir. The adoption of a proper microcanonical dynamics allows a detailed study of the time evolution of…

统计力学 · 物理学 2015-06-03 Elena Agliari , Mario Casartelli , Alessandro Vezzani

We introduce a rejection-free continuous-time kinetic Monte Carlo framework to study stochastic systems governed by multiple concurrent dynamical mechanisms. In this approach, the relative activity of each dynamical channel emerges…

统计力学 · 物理学 2026-03-31 R. A. Dumer , M. Godoy , J. F. F. Mendes

Using Cellular Automata, we simulate spin systems corresponding to $2d$ Ising model with various kinds of boundary conditions (bcs). The appearance of spontaneous magnetization in the absence of magnetic field is studied with a $64\times64$…

统计力学 · 物理学 2018-11-05 Jahangir Mohammed , Swapna Mahapatra

Ground state and thermodynamics of geometrically frustrated spin-1/2 Ising-Heisenberg model on two different but topologically related triangles-in-triangles lattices is investigated in particular. A rigorous mapping based on generalized…

统计力学 · 物理学 2013-01-31 Jana Cisarova , Jozef Strecka

Based on exact diagonalization data for finite quantum Heisenberg antiferromagnets on two frustrated lattices (two-leg ladder and bilayer) and analytical arguments we map low-energy degrees of freedom of the spin models in a magnetic field…

强关联电子 · 物理学 2010-12-22 Oleg Derzhko , Taras Krokhmalskii , Johannes Richter

In this paper we study metastability in large volumes at low temperatures. We consider both Ising spins subject to Glauber spin-flip dynamics and lattice gas particles subject to Kawasaki hopping dynamics. Let $\b$ denote the inverse…

概率论 · 数学 2008-06-05 Anton Bovier , Frank den Hollander , Cristian Spitoni

We explore a transverse-field Ising model that exhibits both spontaneous symmetry-breaking and eigenstate thermalization. Within its ferromagnetic phase, the exact eigenstates of the Hamiltonian of any large but finite-sized system are all…

统计力学 · 物理学 2014-08-12 Bo Zhao , Merritt C. Kerridge , David A. Huse

Motivated by recent experiments on a compound {displaying Ising-like short-range correlations on the triangular lattice, we study the anisotropic easy-axis spin-$1/2$ Heisenberg model on the triangular and kagome lattice} by performing…

强关联电子 · 物理学 2024-02-19 Martin Ulaga , Jure Kokalj , Alexander Wietek , Andrej Zorko , Peter Prelovšek

A kinetic one-dimensional Ising model on a ring evolves according to a generalization of Glauber rates, such that spins at even (odd) lattice sites experience a temperature $T_{e}$ ($T_{o}$). Detailed balance is violated so that the spin…

统计力学 · 物理学 2009-11-07 B. Schmittmann , F. Schmueser

We derive thermodynamic functionals for spatially inhomogeneous magnetization on a torus in the context of an Ising spin lattice model. We calculate the corresponding free energy and pressure (by applying an appropriate external field using…

概率论 · 数学 2016-08-24 A. Montino , N. Soprano-Loto , D. Tsagkarogiannis

We study finite temperature properties of a generic spin-orbital model relevant to transition metal compounds, having coupled quantum Heisenberg-spin and Ising-orbital degrees of freedom. The model system undergoes a phase transition,…

强关联电子 · 物理学 2009-11-20 C. -C. Chen , B. Moritz , J. van den Brink , T. P. Devereaux , R. R. P. Singh

We report on a systematic study of two dimensional, periodic, frustrated Ising models with a quantum dynamics introduced via a transverse magnetic field. The systems studied are the triangular and kagome lattice antiferromagnets, fully…

统计力学 · 物理学 2009-10-31 R. Moessner , S. L. Sondhi

We discuss analytical approximation schemes for the dynamics of diluted spin models. The original dynamics of the complete set of degrees of freedom is replaced by a hierarchy of equations including an increasing number of global…

统计力学 · 物理学 2009-11-10 Guilhem Semerjian , Martin Weigt