遇见数据集

HOTRG dataset for the Ising model on a 3D fractal lattice (magnetization, critical isotherm, bond energy)

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Zenodo2025-12-30 更新2026-05-29 收录
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This repository contains numerical data underlying figures in our study of the classical Ising model on a 3D fractal lattice (Hausdorff dimension d_H = 2.5, boundary dimension d = 2), computed using the higher-order tensor renormalization group (HOTRG). The deposit includes plain-text data files for:1) Magnetization m(T) versus temperature at multiple bond dimensions (including D = 16 and D = 17 for convergence checks),2) Critical isotherm magnetization m0(h) versus magnetic field h,3) Bond energy u(T) versus temperature (the specific heat c(T) can be obtained by numerical differentiation of u(T)),4) Convergence data for Tc and the magnetization exponent beta versus bond dimension D. The custom simulation code used to generate the data is not publicly released. Funding: European Union (NextGenerationEU) via the Recovery and Resilience Plan for Slovakia, project No. 09I03-03-V04-00682.

本仓库收录了我们针对三维分形晶格上经典伊辛模型(Hausdorff维数d_H=2.5,边界维数d=2)开展研究时,用于配图的数值数据,相关计算采用高阶张量重整化群(higher-order tensor renormalization group, HOTRG)方法完成。 本仓库包含以下四类纯文本数据文件:1)多键维度下磁化强度m(T)随温度的变化曲线(含用于收敛性检验的D=16与D=17两组数据);2)临界等温线磁化强度m0(h)随外磁场h的变化曲线;3)键合能u(T)随温度的变化曲线(比热c(T)可通过对u(T)进行数值微分得到);4)临界温度Tc与磁化指数β随键维度D变化的收敛性数据。 用于生成该数据集的定制化模拟代码未对外公开。 资助说明:欧盟(NextGenerationEU)通过斯洛伐克恢复与韧性计划提供资助,项目编号为09I03-03-V04-00682。

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Zenodo
创建时间:
2025-12-30
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