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In this paper, we theoretically study the critical properties of the classical spin-1 Ising model using two approaches: 1) the analytical low-temperature series expansion and 2) the numerical Metropolis Monte Carlo technique. Within this…

统计力学 · 物理学 2020-07-20 Amir Taheridehkordi , Roberto Zivieri

One-dimensional systems with short-range interactions cannot exhibit a long-range order at nonzero temperature. However, there are some particular one-dimensional models, such as the Ising-Heisenberg spin models with a variety of lattice…

统计力学 · 物理学 2019-02-20 I. M. Carvalho , J. Torrico , S. M. de Souza , Onofre Rojas , Oleg Derzhko

We study long-range correlation functions of the rectangular Ising lattice with cyclic boundary conditions. Specifically, we consider the situation in which two spins are on the same column, and at least one spin is on or near free…

统计力学 · 物理学 2009-11-10 Shu-Chiuan Chang , Masuo Suzuki

The multicritical behavior at the Nishimori point of two-dimensional Ising spin glasses is investigated by using numerical transfer-matrix methods to calculate probability distributions $P(C)$ and associated moments of spin-spin correlation…

统计力学 · 物理学 2009-11-10 S. L. A. de Queiroz , R. B. Stinchcombe

A critical point of second order, belonging to the universality class of the 3d Ising model, has recently been advocated as a strong candidate for the critical behaviour (at high temperatures) of QCD with non-zero quark masses. The…

高能物理 - 唯象学 · 物理学 2007-05-23 N. G. Antoniou , Y. F. Contoyiannis , F. K. Diakonos

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…

统计力学 · 物理学 2018-03-21 Ivan Balog , Gilles Tarjus , Matthieu Tissier

We study the zeros in the complex plane of the partition function for the Ising model coupled to 2d quantum gravity for complex magnetic field and real temperature, and for complex temperature and real magnetic field, respectively. We…

高能物理 - 格点 · 物理学 2009-10-30 J. Ambjorn , K. N. Anagnostopoulos , U. Magnea

We report on classical Monte Carlo study of phase transitions and critical behavior of a 2D spin-pseudospin model describing a dilute magnet with competing charge and spin interactions. The static critical exponents of the specific heat and…

统计力学 · 物理学 2021-09-23 D. N. Yasinskaya , V. A. Ulitko , Yu. D. Panov

We investigate the performance of neural networks in identifying critical behaviour in the 2D Ising model with next-to-nearest neighbour interactions. We train DNN and CNN based classifiers on the Ising model configurations with nearest…

An improved unified formulation based on the effective field theory is introduced for a spin-1 Ising model with nearest neighbor interactions with arbitrary coordination number z. Present formulation is capable of calculating all the…

统计力学 · 物理学 2016-08-14 Ümit Akıncı

Background: Quantum Chromodynamics is expected to have a phase transition in the same static universality class as the 3D Ising model and the liquid-gas phase transition. The properties of the equation of state, the transport coefficients,…

核理论 · 物理学 2012-12-11 Joseph I. Kapusta , Juan M. Torres-Rincon

Ising spin-glass systems with long-range interactions ($J(r)\sim r^{-\sigma}$) are considered. A numerical study of the critical behaviour is presented in the non-mean-field region together with an analysis of the probability distribution…

无序系统与神经网络 · 物理学 2009-10-31 Luca Leuzzi

Accurate numerical results are presented for the three-dimensional equivalent-neighbor model on a cubic lattice, for twelve different interaction ranges (coordination number between 18 and 250). These results allow the determination of the…

统计力学 · 物理学 2009-10-31 Erik Luijten

We present polarised-neutron diffraction measurements of the Ising-like spin-chain compound Ca3Co2O6 above and below the magnetic ordering temperature TN. Below TN, a clear evolution from a single-phase spin-density wave (SDW) structure to…

The spin and the chirality orderings of the Heisenberg spin glass in two dimensions with the nearest-neighbor Gaussian coupling are investigated by equilibrium Monte Carlo simulations. Particular attention is paid to the behavior of the…

无序系统与神经网络 · 物理学 2009-11-10 Hikaru Kawamura , Hitoshi Yonehara

Spin correlation functions (up to the 3-site one) of disordered Ising model with the nearest neighbour interaction are calculated and investigated within a two-site cluster approximation for both quenched and annealed cases. The approach…

凝聚态物理 · 物理学 2007-05-23 R. R. Levitskii , S. I. Sorokov

The multichannel Kondo model supports effective anyons on the partially screened impurity, as suggested by its fractional impurity entropy. It was recently demonstrated for the multi-impurity chiral Kondo model, that scattering of an…

强关联电子 · 物理学 2022-04-26 Dor Gabay , Cheolhee Han , Pedro L. S. Lopes , Ian Affleck , Eran Sela

The magnetic properties and critical behavior of both ferromagnetic pure and metallic nanoparticles having concurrently atomic disorder, dilution and competing interactions, are studied in the framework of an Ising model. We have used both…

材料科学 · 物理学 2011-08-26 E. A. Velásquez , J. Mazo-Zuluaga , Johans Restrepo , Òscar Iglesias

Using single cluster flip Monte Carlo simulations we accurately determine new finite size scaling functions which are expressed only in terms the variable $x = \xi_L / L$, where $\xi_L$ is the correlation length in a finite system of size…

凝聚态物理 · 物理学 2009-10-28 Jae-Kwon Kim , Adauto J. F. de Souza\cite{addr} , D. P. Landau

Using the newly proposed probability-changing cluster (PCC) Monte Carlo algorithm, we simulate the two-dimensional (2D) site-diluted Ising model. Since we can tune the critical point of each random sample automatically with the PCC…

统计力学 · 物理学 2009-11-07 Yusuke Tomita , Yutaka Okabe