This chapter presents the Ising model for ferromagnetism, which is a standard simple model of a phase transition. Using the approximation of mean-field theory , the free energy is minimized, and hence the magnetization is calculated, as a function of temperature and applied field. This ...
On Ising's model of ferromagnetism Ising discussed the following model of a ferromagnetic body: AssumeNelementary magnets of moment μ to be arranged in a regular lattice; each of them is supposed to have only two possible orientations, which we call positive and negative... R. E. Peierls ...
[10]N EW ELL G F, MON TROLL E W.O n the theory of the Isingmodel of ferromagnetism[J].RevM od Phys, 1953. [11]YANG C N.The spontaneous magnetization of a tw o2dimensionalIsing model[J].Phys Rev, 1952. Ising模型 篇5 我们的模型可以描述分子基铁磁体如普鲁士蓝模拟Mn1.5[Cr (CN) ...
On the Theory of the Ising Model of Ferromagnetism Reviews of Modern Physics(IF45.9)Pub Date : 1953, DOI:10.1103/revmodphys.25.159 Gordon F. Newell , Elliott W. Montroll 中文翻译: 关于铁磁性伊辛模型的理论 更新日期:2017-01-31 点击分享查看原文 ...
Magnetism is an inherently quantum phenomena which cannot be exhibited classically. To decribe the behavior of a magnetic material, we should introduce the electron's spin and the associated magnetic moment in quantum mechanics. The Ising model is a mathematical model of ferromagnetism ...
The Ising model is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables called spins that can be in one of two states. The spins are arranged in a lattice or graph, and each spin interacts only with its nearest neighbors. The goal is to ...
^Ising, E. Beitrag zur Theorie des Ferromagnetismus. Z. Physik 31, 253–258 (1925).https://doi.org/10.1007/BF02980577 ^Onsager, Lars, Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition. Phys. Rev. 1944.https://link.aps.org/doi/10.1103/PhysRev.65.117 ...
Sherman, S. (1960). Combinatorial aspects of the Ising model for ferromagnetism. I. A conjecture of Feynman on paths and graphs.Journal of Mathematical Physics,1(3), 202-217. Vdovichenko, N. V. (1965). Acalculationof the partition function for a plane dipole lattice.Soviet Physics JETP,...
The model of ferromagnetism proposed by Ising is treated by synthesizing a cluster treatment with the spherical model. The spherical model is used to deter... A Levitas,M Lax - 《Physical Review》 被引量: 49发表: 1958年 Monte Carlo Study of a Mixed Spin-1 and Spin-3/2 Ising Ferromagnet...
The Ising model itself is a mathematical model for ferromagnetism that is often explored in the field of statistical mechanics in physics to describe magnetic phenomena22. Originally, the Ising model was developed to investigate magnetic phenomena, as mentioned earlier. With the discovery of electron ...