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We construct the finite-temperature dynamical phase diagram of the fully connected transverse-field Ising model from the vantage point of two disparate concepts of dynamical criticality. An analytical derivation of the classical dynamics…

Statistical Mechanics · Physics 2018-05-07 Johannes Lang , Bernhard Frank , Jad C. Halimeh

The purpose of this article is to present a detailed numerical study of the second-order phase transition in the 2D Ising model. The importance of correctly presenting elementary theory of phase transitions, computational algorithms and…

Statistical Mechanics · Physics 2016-10-04 E. Ibarra-García-Padilla , C. G. Malanche-Flores , F. J. Poveda-Cuevas

We consider the Ising model on a small-world network, where the long-range interaction strength $J_2$ is in general different from the local interaction strength $J_1$, and examine its relaxation behaviors as well as phase transitions. As…

Statistical Mechanics · Physics 2009-11-11 Daun Jeong , M. Y. Choi , Hyunggyu Park

We study the ground state of a $d$--dimensional Ising model with both long range (dipole--like) and nearest neighbor ferromagnetic (FM) interactions. The long range interaction is equal to $r^{-p}$, $p>d$, while the FM interaction has…

Statistical Mechanics · Physics 2012-09-19 Alessandro Giuliani , Joel L. Lebowitz , Elliott H. Lieb

We study the one dimensional Ising model with ferromagnetic, long range interaction which decays as |i-j|^{-2+a}, 1/2< a<1, in the presence of an external random filed. we assume that the random field is given by a collection of independent…

Probability · Mathematics 2009-11-13 Marzio Cassandro , Enza Orlandi , Pierre Picco

A simple d-dimensional lattice model is proposed, incorporating some degree of frustration and thus capable of describing some aspects of molecular orientation in covalently bound molecular solids. For d=2 the model is shown to be…

Condensed Matter · Physics 2009-10-30 Fabio Siringo

We investigate the temporal evolution of a ferromagnetic system of Ising spins evolving under Kawasaki dynamics from a random initial condition, in spatial dimensions one and two. We examine in detail the asymptotic behaviour of the…

Statistical Mechanics · Physics 2007-12-13 Claude Godreche , Florent Krzakala , Federico Ricci-Tersenghi

We consider a system of Ising spins s=1/2 with nonmagnetic impurities with charge associated with pseudospin S=1. The charge density is fixed pursuant to the concentration n. Analysis of the thermodynamic properties in the one-dimensional…

Statistical Mechanics · Physics 2024-01-30 D. N. Yasinskaya , Yu. D. Panov

A quasi 2-dimensional recursive lattice formed by planar elements have been designed to investigate the surface thermodynamics of Ising spin glass system with the aim to study the metastability of supercooled liquids and the ideal glass…

Statistical Mechanics · Physics 2015-02-24 Ran Huang , Purushottam D. Gujrati

The random field Ising model driven by a slowly varying uniform external field at zero temperature provides a caricature of several threshold activated systems. In this model, the non-equilibrium response of the system can be obtained…

Statistical Mechanics · Physics 2009-11-10 Prabodh Shukla

Simulating the real-time evolution of quantum spin systems far out of equilibrium poses a major theoretical challenge, especially in more than one dimension. We experimentally explore the dynamics of a two-dimensional Ising spin system with…

In this review, I outline some principal theoretical knowledge on the properties of frustrated systems and thin films. The two points I would like to emphasize: i) the physics in low dimensions where exact solutions can be obtained, ii) the…

Statistical Mechanics · Physics 2019-03-27 H Diep

The crossover between short-range and long-range (LR) universal behaviors remains a central theme in the physics of long-range interacting systems. The competition between LR coupling and the Berezinskii-Kosterlitz-Thouless mechanism makes…

Statistical Mechanics · Physics 2025-11-14 Tianning Xiao , Dingyun Yao , Chao Zhang , Zhijie Fan , Youjin Deng

We study the isotropic Heisenberg chain with nearest and next-nearest neighbour interactions. The ground state phase diagram is constructed in dependence on the additonal interactions and an external magnetic field. The thermodynamics is…

Strongly Correlated Electrons · Physics 2009-11-13 Christian Trippe , Andreas Klümper

The two-dimensional (2D) XY model plays a crucial role in statistical and condensed matter physics. With the introduction of long-range interactions, the system exhibits a richer set of physical phenomena and a crossover between…

Statistical Mechanics · Physics 2025-11-14 Dingyun Yao , Tianning Xiao , Chao Zhang , Youjin Deng , Zhijie Fan

We propose a minimal theoretical model for the description of a two-dimensional (2D) strongly interacting Fermi gas confined transversely in a tight harmonic potential, and present accurate predictions for its equation of state and…

Quantum Gases · Physics 2020-04-22 Fan Wu , Jianshen Hu , Lianyi He , Xia-Ji Liu , Hui Hu

We investigate the influence of the carrier density and other parameters on the interlayer exchange in magnetic thin film systems. The system consists of ferromagnetic and non-magnetic layers where the carriers are allowed to move from…

Strongly Correlated Electrons · Physics 2015-05-30 M. Stier , W. Nolting

We consider the effects of the magnetic field on the frustrated phase states of the dilute Ising chain, especially, the behavior of the magnetic entropy change and the isentropic dependence of the temperature on the magnetic field, which…

Statistical Mechanics · Physics 2023-01-30 A. V. Shadrin , Yu. D. Panov

A 75 nm-thick Fe0.5Pt0.5 film is a ferromagnetic metal showing striped magnetic domains in remanence at room temperature. The magnetoresistance is characterized by varying the external temperature and the in-plane magnetic field intensity,…

Mesoscale and Nanoscale Physics · Physics 2026-05-29 C. P. Quinteros , L. Avilés-Félix , D. Goijman , L. Saba , D. Pérez Morelo , L. Granja , M. Granada , J. Milano

Many-body systems subject to a high-frequency drive can show intriguing thermalization behavior. Prior to heating to a featureless infinite-temperature state, these systems can spend an exponentially long time in prethermal phases…

Statistical Mechanics · Physics 2022-11-15 Hui-Ke Jin , Andrea Pizzi , Johannes Knolle