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We explore the phase diagram of Ising spins on one-dimensional chains which criss-cross in two perpendicular directions and which are connected by interchain couplings. This system is of interest as a simpler, classical analog of a quantum…

统计力学 · 物理学 2017-10-18 T. Cary , R. R. P. Singh , R. T. Scalettar

We study the local magnetization in the 2-D Ising model at its critical temperature on a semi-infinite cylinder geometry, and with a nonzero magnetic field $h$ applied at the circular boundary of circumference $\beta$. This model is…

统计力学 · 物理学 2015-06-04 Eran Sela , Andrew K. Mitchell

Binary magnetic square lattice Ising system with nearest neighbour interactions were simulated using the Monte Carlo technique. Two types of ions were randomly distributed on the lattice sites, one type interacting ferromagnetic and the…

统计力学 · 物理学 2013-01-23 Ike Q. Sikakana

We use Monte Carlo simulations to study a dynamically triangulated disk with Ising spins on the vertices and a boundary magnetic field. For the case of zero magnetic field we show that the model possesses three phases. For one of these the…

高能物理 - 格点 · 物理学 2007-05-23 Scott McGuire , Simon Catterall , Mark Bowick , Simeon Warner

Numerical transfer-matrix methods are applied to two-dimensional Ising spin systems, in presence of a confining magnetic field which varies with distance $|{\vec x}|$ to a "trap center", proportionally to $(|{\vec x}|/\ell)^p$, $p>0$. On a…

统计力学 · 物理学 2010-05-28 S. L. A. de Queiroz , R. R. dos Santos , R. B. Stinchcombe

The partition function and magnetization equations are derived for the two-dimensional nearest neighbour Ising models in a magnetic field.

综合物理 · 物理学 2013-02-06 M. V. Sangaranarayanan

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

The phase transition of a random mixed-bond Ising ferromagnet on a cubic lattice model is studied both numerically and analytically. In this work, we use the Cluster algorithms of Wolff and Glauber to simulate the dynamics of the system. We…

无序系统与神经网络 · 物理学 2010-02-02 J. B. Santos-Filho , N. O. Moreno , Douglas F. de Albuquerque

We investigate the statistical mechanics of the periodic one-dimensional Ising chain when the number of positive spins is constrained to be either an even or an odd number. We calculate the partition function using a generalization of the…

统计力学 · 物理学 2015-03-11 Michael T. Gastner

We study an irreversible Markov chain Monte Carlo method based on a skew detailed balance condition for an one-dimensional Ising model. Dynamical behavior of the magnetization density is analyzed in order to understand the properties of…

统计力学 · 物理学 2015-06-12 Yuji Sakai , Koji Hukushima

In extensive Monte Carlo simulations the phase transition of the random field Ising model in three dimensions is investigated. The values of the critical exponents are determined via finite size scaling. For a Gaussian distribution of the…

凝聚态物理 · 物理学 2009-10-28 Heiko Rieger

The two-component cold atom systems with anisotropic hopping amplitudes can be phenomenologically described by a two-dimensional Ising-XY coupled model with spatial anisotropy. At low temperatures, theoretical predictions [Phys. Rev. A 72,…

量子气体 · 物理学 2024-05-21 Heyang Ma , Wanzhou Zhang , Yanting Tian , Chengxiang Ding , Youjin Deng

We analyze a controversial question about the universality class of the three-dimensional Ising model with long-range-correlated disorder. Whereas both analytical and numerical studies performed so far support an extended Harris criterion…

无序系统与神经网络 · 物理学 2009-11-11 D. Ivaneyko , B. Berche , Yu. Holovatch , J. Ilnytskyi

Although the fully connected Ising model does not have a length scale, we show that its critical exponents can be found using finite size scaling with the scaling variable equal to N, the number of spins. We find that at the critical…

统计力学 · 物理学 2014-10-15 Louis Colonna-Romano , Harvey Gould , W. Klein

We employ Monte Carlo techniques, utilizing the Metropolis and Wolff algorithms, to investigate phase behavior and phase transitions in anisotropic Ising models. Our study encompasses the thermodynamic properties, evaluating energy,…

统计力学 · 物理学 2024-12-31 Basit Iqbal , Kingshuk Sarkar

A model for single-domain uniaxial ferromagnetic particles with high anisotropy, the Ising model, is studied. Recent experimental observations have been made of the probability that the magnetization has not switched. Here an approach is…

材料科学 · 物理学 2009-10-30 M. A. Novotny , M. Kolesik , P. A. Rikvold

Thermodynamic and magnetocaloric properties of geometrically frustrated Ising spin clusters of selected shapes and sizes are studied by exact enumeration. In the ground state the magnetization and the entropy show step-wise variations with…

统计力学 · 物理学 2014-12-19 Milan Žukovič

The properties of the pure-site clusters of spin models, i.e. the clusters which are obtained by joining nearest-neighbour spins of the same sign, are here investigated. In the Ising model in two dimensions it is known that such clusters…

统计力学 · 物理学 2009-11-07 Santo Fortunato

We present the numerical results for low temperature behavior of the transverse-field Ising model on a frustrated checkerboard lattice, with focus on the effect of both quantum and thermal fluctuations. Applying the recently-developed…

强关联电子 · 物理学 2012-10-23 H. Ishizuka , Y. Motome , N. Furukawa , S. Suzuki

In this study the magnetization phenomenon has been investigated as a behavior of interacting elementary moments ensemble, with the help of Ising model [1] in the frame of non-extensive statistical mechanics. To investigate the physical…

统计力学 · 物理学 2007-05-23 M. Karabekirogullari , F. Buyukkilic , D. Demirhan