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The asymptotical behavior of physical quantities, like the order parameter, the replicon and longitudinal masses, is studied around the zero-field spin glass transition point when a small external magnetic field is applied. An effective…

Disordered Systems and Neural Networks · Physics 2017-07-19 Tamás Temesvári

Response of pure Ising systems to time-dependent external magnetic fields, like pulsed and oscillating fields, are discussed and compared here. Because of the two time scales involved, namely the thermodynamic relaxation time of the system…

Statistical Mechanics · Physics 2009-11-07 Bikas K. Chakrabarti , Arkajyoti Misra

In the present paper, a study of the magnetic properties of a spin-1/2 Ising-Heisenberg Cairo pentagonal structure is presented. The model has been investigated in Ref. [34] in the absence of external magnetic field. Here, we consider the…

Statistical Mechanics · Physics 2020-11-19 Hamid Arian Zad , Andrea Trombettoni , Nerses Ananikian

We study a cluster Ising model with non-Hermitian external field which can be exactly solved in the language of free fermions. By investigating the second derivative of energy density and fidelity, the possible new critical points are…

Statistical Mechanics · Physics 2022-05-31 Zheng-Xin Guo , Xue-Jia Yu , Xi-Dan Hu , Zhi Li

A dimer mean-field model for the Ising spin-glass is presented. Despite its simplicity it captures some of the essential features of the spin-glass physics. The distribution of the single-spin magnetization is determined from a…

Disordered Systems and Neural Networks · Physics 2009-12-16 Yonatan Dubi , Massimiliano Di Ventra

The two dimensional ferromagnetic Ising model in the presence of a propagating magnetic field wave (with well defined frequency and wavelength) is studied by Mone Carlo simulation. This study differs from all of the earlier studies done so…

Statistical Mechanics · Physics 2011-09-07 Muktish Acharyya

We study the critical and off-critical (Griffiths-McCoy) regions of the random transverse-field Ising spin chain by analytical and numerical methods and by phenomenological scaling considerations. Here we extend previous investigations to…

Disordered Systems and Neural Networks · Physics 2009-10-30 F. Igloi , H. Rieger

We consider nonequilibrium critical dynamics of the two-dimensional Ising model for which the initial state is prepared by switching on random fields with zero mean and variance $H$. In the initial state there is no magnetic order but the…

Statistical Mechanics · Physics 2015-06-25 Laszlo Kornyei , Michel Pleimling , Ferenc Igloi

We show that, contrary to previous suggestions based on computer simulations or erroneous theoretical treatments, the critical points of the random-field Ising model out of equilibrium, when quasi-statically changing the applied source at…

Statistical Mechanics · Physics 2018-03-21 Ivan Balog , Gilles Tarjus , Matthieu Tissier

We investigate the one-dimensional long-range random-field Ising magnet with Gaussian distribution of the random fields. In this model, a ferromagnetic bond between two spins is placed with a probability $p \sim r^{-1-\sigma}$, where $r$ is…

Disordered Systems and Neural Networks · Physics 2014-11-20 Timo Dewenter , Alexander K. Hartmann

We consider an Ising model where longitudinal components of every pair of spins have antiferromagnetic interaction of the same magnitude. When subjected to a transverse magnetic field at zero temperature, the system undergoes a phase…

Statistical Mechanics · Physics 2015-05-14 Anindita Ganguli , Subinay Dasgupta

The quantum critical behavior of the Ising glass in a magnetic field is investigated. We focus on the spin glass to paramagnet transition of the transverse degrees of freedom in the presence of finite longitudinal field. We use two…

Strongly Correlated Electrons · Physics 2009-11-10 L. Arrachea , D. Dalidovich , V. Dobrosavljević , M. J. Rozenberg

Detailed mean field and Monte Carlo studies of the dynamic magnetization-reversal transition in the Ising model in its ordered phase under a competing external magnetic field of finite duration have been presented here. Approximate…

Statistical Mechanics · Physics 2009-10-31 Arkajyoti Misra , Bikas K Chakrabarti

Out-of-equilibrium behavior is explored in the one-dimensional anisotropic $XY$ model. Initially preparing the system in the isotropic $XX$ model with a linearly varying magnetic field to create a domain-wall magnetization profile, dynamics…

Quantum Gases · Physics 2016-05-20 Jarrett L. Lancaster

The effects of competing quadrupolar- and spin-glass orderings are investigated on a spin-1 Ising model with infinite-range random $p$-spin interactions. The model is studied through the replica approach and a phase diagram is obtained in…

Statistical Mechanics · Physics 2009-10-31 J. M. de Araujo , F. A. da Costa , F. D. Nobre

We developed a systematic non-perturbative method base on Dyson-Schwinger theory and the $\Phi$-derivable theory for Ising model at broken phase. Based on these methods, we obtain critical temperature and spin spin correlation beyond mean…

Statistical Mechanics · Physics 2021-06-10 Feng Liu , Zhenhao Fan , Zhipeng Sun , Dingping Li , Xuzong Chen

We consider an active Ising model in which spins both diffuse and align on lattice in one and two dimensions. The diffusion is biased so that plus or minus spins hop preferably to the left or to the right, which generates a flocking…

Statistical Mechanics · Physics 2013-09-09 A. Solon , J. Tailleur

The Ising model on networks plays a fundamental role as a testing ground for understanding cooperative phenomena in complex systems. Here we solve the synchronous dynamics of the Ising model on random graphs with an arbitrary degree…

Statistical Mechanics · Physics 2023-03-21 Leonardo S. Ferreira , Fernando L. Metz

Interdependence is a fundamental ingredient to analyze the stability of many real-world complex systems featuring functional liasons. Yet, physical realizations of this coupling are still unknown, due to the lack of a theoretical framework…

Disordered Systems and Neural Networks · Physics 2024-12-04 Ivan Bonamassa , Bnaya Gross , Shlomo Havlin

We study the model of a biaxial single ferromagnetic spin Hamiltonian with an external magnetic field applied along the medium axis. The phase transition of the escape rate is investigated. Two different but equivalent methods are…

Mesoscale and Nanoscale Physics · Physics 2014-03-19 S. A. Owerre , M. B. Paranjape
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