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We study the $\pm J$ three-dimensional Ising model with a longitudinal anisotropic bond randomness on the simple cubic lattice. The random exchange interaction is applied only in the $z$ direction, whereas in the other two directions, $xy$…

统计力学 · 物理学 2015-04-29 T. Papakonstantinou , N. G. Fytas , A. Malakis , I. Lelidis

We examine the phase diagram of the $p$-interaction spin glass model in a transverse field. We consider a spherical version of the model and compare with results obtained in the Ising case. The analysis of the spherical model, with and…

无序系统与神经网络 · 物理学 2015-06-25 Theo M. Nieuwenhuizen , Felix Ritort

The $q$-neighbor Ising model is investigated on homogeneous random graphs with a fraction of edges associated randomly with antiferromagnetic exchange integrals and the remaining edges with ferromagnetic ones. It is a nonequilibrium model…

统计力学 · 物理学 2020-12-09 A. Krawiecki

In this paper, we study the driven-dissipative p-spin models for $p\geq 2$. In thermodynamics limit, the equation of motion is derived by using a semiclassical approach. The long-time asymptotic states are obtained analytically, which…

量子气体 · 物理学 2021-01-13 Pei Wang , Rosario Fazio

Multiplex networks consist of a fixed set of nodes connected by several sets of edges which are generated separately and correspond to different networks ("layers"). Here, the Ising model on multiplex networks with two layers is considered,…

统计力学 · 物理学 2017-03-10 Andrzej Krawiecki

A review is given on some recent developments in the theory of the Ising model in a random field. This model is a good representation of a large number of impure materials. After a short repetition of earlier arguments, which prove the…

统计力学 · 物理学 2008-02-03 T. Nattermann

True ground states are evaluated for a 2d Ising model with random near neighbor interactions and ferromagnetic second neighbor interactions (the Randomly Coupled Ferromagnet). The spin glass stiffness exponent is positive when the absolute…

无序系统与神经网络 · 物理学 2009-10-31 A. K. Hartmann , I. A. Campbell

We consider the spherical spin glass model defined by a combination of the pure 2-spin spherical Sherrington-Kirkpatrick Hamiltonian and the ferromagnetic Curie-Weiss Hamiltonian. In the large system limit, there is a two-dimensional phase…

概率论 · 数学 2018-10-17 Jinho Baik , Ji Oon Lee , Hao Wu

Hamiltonians for general multi-state spin-glass systems with Ising symmetry are derived for both sequential and synchronous updating of the spins. The possibly different behaviour caused by the way of updating is studied in detail for the…

无序系统与神经网络 · 物理学 2016-08-16 D. Bollé , J. Busquets Blanco

A zero temperature dynamics of Ising spin glasses and ferromagnets on random graphs of finite connectivity is considered, like granular media these systems have an extensive entropy of metastable states. We consider the problem of what…

统计力学 · 物理学 2009-11-07 David S. Dean , Alexandre Lefèvre

We investigate the p-spin model with Gaussian-distributed random interactions in the microcanonical ensemble using the replica theory. For p=2, there are only second-order phase transitions and we recover the results of Sherrington and…

统计力学 · 物理学 2014-09-08 Zsolt Bertalan , Hidethoshi Nishimori

The ground-state phase diagram of an Ising spin-glass model on a random graph with an arbitrary fraction $w$ of ferromagnetic interactions is analysed in the presence of an external field. Using the replica method, and performing an…

无序系统与神经网络 · 物理学 2012-10-12 M. O. Hase , J. R. L. de Almeida , S. R. Salinas

In a $p$-spin interaction spherical spin-glass model both the spins and the couplings are allowed to change in the course of time. The spins are coupled to a heat bath with temperature $T$, while the coupling constants are coupled to a bath…

无序系统与神经网络 · 物理学 2009-10-31 A. E. Allahverdyan , Th. M. Nieuwenhuizen , D. B. Saakian

A p-spin interaction Ashkin-Teller spin glass, with three independent Gaussian probability distributions for the exchange interactions, is studied by means of the replica method. A simple phase diagram is obtained within the…

凝聚态物理 · 物理学 2009-11-07 I. S. Queiroz , F. A. da Costa , F. D. Nobre

Spin glasses are frustrated magnetic systems due to a random distribution of ferro- and antiferromagnetic interactions. An experimental three dimensional (3d) spin glass exhibits a second order phase transition to a low temperature spin…

无序系统与神经网络 · 物理学 2009-11-10 Per Nordblad

The Ising model on ``thin'' graphs (standard Feynman diagrams) displays several interesting properties. For ferromagnetic couplings there is a mean field phase transition at the corresponding Bethe lattice transition point. For…

高能物理 - 格点 · 物理学 2016-08-31 C. F. Baillie , D. A. Johnston , J-P. Kownacki

We study a p-spin spin-glass model to understand if the finite-temperature glass transition found in the mean-field regime of p-spin models, and used to model the behavior of structural glasses, persists in the non-mean-field regime. By…

无序系统与神经网络 · 物理学 2010-02-18 Derek Larson , Helmut G. Katzgraber , M. A. Moore , A. P. Young

We report some results on the quenched disordered Spherical multi-$p$-Spin Model in presence of ferromagnetic couplings. In particular, we present the phase diagrams of some representative cases that schematically describe, in the…

无序系统与神经网络 · 物理学 2013-03-19 Andrea Crisanti , Luca Leuzzi

We study the Ising spin glass model on scale-free networks generated by the static model using the replica method. Based on the replica-symmetric solution, we derive the phase diagram consisting of the paramagnetic (P), ferromagnetic (F),…

统计力学 · 物理学 2009-11-11 D. -H. Kim , G. J. Rodgers , B. Kahng , D. Kim

Thermodynamics of layered Ising magnet with the infinite-range ferromagnetic intralayer interaction and random exchange between nearest layers is considered. The case of zero average interlayer exchange is studied in detail. The…

无序系统与神经网络 · 物理学 2007-05-23 P. N. Timonin