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With respect to usual thermal ferromagnetic transitions, the zero-temperature finite-disorder critical point of the Random-field Ising model (RFIM) has the peculiarity to involve some 'droplet' exponent $\theta$ that enters the generalized…

无序系统与神经网络 · 物理学 2011-07-21 Cecile Monthus , Thomas Garel

The short-time dynamic evolution of an Ising model embedded in an infinitely ramified fractal structure with noninteger Hausdorff dimension was studied using Monte Carlo simulations. Completely ordered and disordered spin configurations…

统计力学 · 物理学 2009-11-11 M. A. Bab , G. Fabricius , E. V. Albano

The spin structure of an axial next-nearest-neighbor Ising (ANNNI) model in two dimensions (2D) is a renewed problem because different Monte Carlo (MC) simulation methods predicted different spin orderings. The usual equilibrium simulation…

无序系统与神经网络 · 物理学 2015-06-22 T. Shirakura , F. Matsubara , N. Suzuki

We study analytically the Ising model coupled to random lattices in dimension three and higher. The family of random lattices we use is generated by the large N limit of a colored tensor model generalizing the two-matrix model for Ising…

高能物理 - 理论 · 物理学 2012-08-27 Valentin Bonzom , Razvan Gurau , Vincent Rivasseau

We investigate two separate notions of dynamical phase transitions in the two-dimensional nearest-neighbor transverse-field Ising model on a square lattice using matrix product states and a new \textit{hybrid} infinite time-evolving block…

强关联电子 · 物理学 2022-04-21 Tomohiro Hashizume , Ian P. McCulloch , Jad C. Halimeh

We analyze changes in the thermodynamic properties of a spin system when it passes from the classical two-dimensional Ising model to the spin glass model, where spin-spin interactions are random in their values and signs. Formally, the…

无序系统与神经网络 · 物理学 2020-02-06 Boris Kryzhanovsky , Magomed Malsagov , Iakov Karandashev

We numerically investigate the robustness against various perturbations of measurement-induced phase transition in monitored quantum Ising models in the no-click limit, where the dynamics is described by a non-Hermitian Hamiltonian. We…

量子物理 · 物理学 2024-11-01 Manali Malakar , Marlon Brenes , Dvira Segal , Alessandro Silva

By using frustration-preserving hard-spin mean-field theory, we investigated the phase transition dynamics in the three-dimensional field-free $\pm J$ Ising spin glass model. As the temperature $T$ is decreased from paramagnetic phase at…

统计力学 · 物理学 2021-09-29 Ozan S. Sarıyer

In this paper we develop a detailed analysis of critical prewetting in the context of the two-dimensional Ising model. Namely, we consider a two-dimensional nearest-neighbor Ising model in a $2N\times N$ rectangular box with a boundary…

概率论 · 数学 2022-10-04 Dmitry Ioffe , Sébastien Ott , Senya Shlosman , Yvan Velenik

We explore the equilibrium properties of a two-dimensional Ising spin model with short-range exchange and long-range dipolar interactions as a function of the applied magnetic field H. The model is studied through extensive Monte Carlo…

材料科学 · 物理学 2010-11-24 Rogelio Diaz-Mendez , Roberto Mulet

Advance in quantum simulations using trapped ions or superconducting elements allows detailed analysis of the transverse field Ising model (TFIM), which can exhibit a quantum phase transition and has been a paradigm in exactly solvable…

统计力学 · 物理学 2018-03-22 Yan He , Hao Guo

Boundary conditions may change the phase diagram of non-equilibrium statistical systems like the one-dimensional asymmetric simple exclusion process with and without particle number conservation. Using the quantum Hamiltonian approach, the…

高能物理 - 理论 · 物理学 2009-10-22 Malte Henkel , Gunter Schütz

The finite size analysis of the nonequilibrium phase transition, in two dimensional Ising ferromagnet driven by plane propagating magneticwave, is studied by Monte Carlo simulation. It is observed that the system undergoes a nonequilibrium…

统计力学 · 物理学 2021-01-29 Ajay Halder , Muktish Acharyya

Using the strong disorder renormalization group method we study numerically the critical behavior of the random transverse Ising model at a free surface, at a corner and at an edge in D=2, 3 and 4-dimensional lattices. The surface…

无序系统与神经网络 · 物理学 2013-01-22 István A. Kovács , Ferenc Iglói

We briefly introduce hysteresis in spatially extended systems and the dynamic phase transition observed as the frequency of the oscillating field increases beyond a critical value. Hysteresis and the decay of metastable phases are closely…

统计力学 · 物理学 2007-05-23 P. A. Rikvold , G. Korniss , C. J. White , M. A. Novotny , S. W. Sides

We introduce and analyse the kinetic random-field nonreciprocal Ising model, which incorporates bimodal (double-delta) diffusive disorder along with pairwise nonreciprocal interactions between two different species. Using mean-field and…

统计力学 · 物理学 2026-03-09 Arjun R , A. V. Anil Kumar

We employ the microcanonical inflection-point analysis method, developed for the systematic identification and classification of phase transitions in systems of any size, to study the two-dimensional Ising model at various lattice sizes and…

统计力学 · 物理学 2023-06-30 Kedkanok Sitarachu , Michael Bachmann

Short-time dynamics of many-body systems may exhibit non-analytical behavior of the systems' properties at particular times, thus dubbed dynamical quantum phase transition. Simulations showed that in the presence of disorder new critical…

统计力学 · 物理学 2023-03-14 O. N. Kuliashov , A. A. Markov , A. N. Rubtsov

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

We consider the long-range random field Ising model in dimension $d = 1, 2$, whereas the long-range interaction is of the form $J_{xy} = |x-y|^{-\alpha}$ with $1< \alpha < 3/2$ for $d=1$ and with $2 < \alpha \leq 3$ for $d = 2$. Our main…

概率论 · 数学 2025-01-22 Jian Ding , Fenglin Huang , João Maia