探索有限尺寸波茨模型中的过渡：利用王-朗道采样和平行回火进行比较分析

IF 2.2 3区物理与天体物理 Q2 MECHANICS

Journal of Statistical Mechanics: Theory and Experiment Pub Date : 2024-09-09 DOI:10.1088/1742-5468/ad72da

Fangfang Wang, Wei Liu, Jun Ma, Kai Qi, Ying Tang, Zengru Di

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引用次数: 0

摘要

这项研究考察了二维有限尺寸晶格中各种状态波茨模型内的跃迁。利用 Wang-Landau 抽样和平行回火，我们系统地获得了态密度，从而有助于对结果进行全面的比较分析。三阶跃迁位置的确定是通过使用微规范拐点分析法对状态密度进行细致检验实现的。高阶转变位置的典型结果和微观典型结果之间的明显一致性肯定了这些转变的普遍性。我们的结果进一步说明了 Wang-Landau 抽样的稳健微规范拐点分析的普遍性。

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Exploring transitions in finite-size Potts model: comparative analysis using Wang–Landau sampling and parallel tempering

This research provides a examination of transitions within the various-state Potts model in two-dimensional finite-size lattices. Leveraging the Wang–Landau sampling and parallel tempering, we systematically obtain the density of states, facilitating a comprehensive comparative analysis of the results. The determination of the third-order transitions location are achieved through a meticulous examination of the density of states using microcanonical inflection-point analysis. The remarkable alignment between canonical and microcanonical results for higher-order transition locations affirms the universality of these transitions. Our results further illustrate the universality of the robust and microcanonical inflection-point analysis of Wang–Landau sampling.

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来源期刊

Journal of Statistical Mechanics: Theory and Experiment 物理-力学

CiteScore

4.50

自引率

12.50%

发文量

210

审稿时长

1.0 months

期刊介绍： JSTAT is targeted to a broad community interested in different aspects of statistical physics, which are roughly defined by the fields represented in the conferences called ''Statistical Physics''. Submissions from experimentalists working on all the topics which have some ''connection to statistical physics are also strongly encouraged. The journal covers different topics which correspond to the following keyword sections. 1. Quantum statistical physics, condensed matter, integrable systems Scientific Directors: Eduardo Fradkin and Giuseppe Mussardo 2. Classical statistical mechanics, equilibrium and non-equilibrium Scientific Directors: David Mukamel, Matteo Marsili and Giuseppe Mussardo 3. Disordered systems, classical and quantum Scientific Directors: Eduardo Fradkin and Riccardo Zecchina 4. Interdisciplinary statistical mechanics Scientific Directors: Matteo Marsili and Riccardo Zecchina 5. Biological modelling and information Scientific Directors: Matteo Marsili, William Bialek and Riccardo Zecchina