一维链和二维方晶格上具有多自旋相互作用的自旋- s - Ising模型。

IF 2.2 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS
Kohei Suzuki
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引用次数: 0

摘要

我们研究了一维链和二维方形晶格上具有p-自旋相互作用的自旋-s - Ising模型。这里,S表示自旋的大小,p表示每次相互作用中涉及的自旋数。对S=1/2,1,3/2,2和p=3,4,5进行分析。对于一维模型,我们建立传递矩阵并对其进行数值对角化,以分析自由能和自旋-自旋相关的温度依赖性。在S=1/2的情况下,自由能不依赖于p,随着p的增加,自旋-自旋相关性在所有温度尺度上都均匀增强。相反,当S≥1时,自由能随p的变化而变化,且随p的增加,自旋-自旋相关在较低温度下显著增强。对于二维模型,通过多尺度模拟,我们分析了物理量,如序参量、内能和比热。此外,我们定义并检验了一个有序参数来区分有序相和无序相。发现在有限温度下,所有S和p≥3均发生一阶相变,且p的增加强化了其性质。我们提出了S和p与相变温度和潜热的关系,并讨论了高阶相互作用对相变性质的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Spin-S Ising models with multispin interactions on the one-dimensional chain and two-dimensional square lattice.

We study spin-S Ising models with p-spin interactions on the one-dimensional chain and the two-dimensional square lattice. Here, S denotes the magnitude of the spin and p represents the number of spins involved in each interaction. The analysis is performed for S=1/2,1,3/2,2, and p=3,4,5. For the one-dimensional model, we formulate transfer matrices and numerically diagonalize them to analyze the temperature dependence of the free energy and spin-spin correlations. In the case of S=1/2, the free energy does not depend on p, and the spin-spin correlations are uniformly enhanced across all temperature scales as p increases. In contrast, for S≥1, the free energy varies with p, and the spin-spin correlations are significantly enhanced at lower temperatures as p increases. For the two-dimensional model, by using multicanonical simulations, we analyze physical quantities such as an order parameter, internal energy, and specific heat. In addition, we define and examine an order parameter to distinguish ordered and disordered phases. It is found that a first-order phase transition occurs at finite temperatures for all S and p≥3, and increasing p strengthens its nature. We present S and p dependence of the transition temperature and latent heat, and discuss effects of higher-order interactions on the nature of phase transitions.

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来源期刊
Physical Review E
Physical Review E PHYSICS, FLUIDS & PLASMASPHYSICS, MATHEMAT-PHYSICS, MATHEMATICAL
CiteScore
4.50
自引率
16.70%
发文量
2110
期刊介绍: Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.
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