arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2309.06752cond-mat.dis-nncond-mat.stat-mech
收藏

三维临界位点稀释Ising铁磁体中的多重标度

Multiscaling in the 3D critical site-diluted Ising ferromagnet

E. Marinari, V. Martin-Mayor, G. Parisi, F. Ricci-Tersenghi, J. J. Ruiz-Lorenzo

AI总结:

本文通过数值研究三维临界位点稀释Ising铁磁体,计算关联函数高阶矩的衰减指数,发现临界温度下存在明确的多重标度行为。

摘要:

我们通过数值方法研究三维铁磁Ising位点稀释模型中多重标度行为的出现,其形式为临界温度下空间关联函数衰减指数的多重分形分布。我们通过研究三种不同的量:全局磁化率、局域磁化率和关联函数,计算了关联函数高阶矩(最高到10次幂)的长距离衰减指数。我们发现了非常明确的多重标度行为证据。

英文摘要:

We have studied numerically the appearance of multiscaling behavior in the three-dimensional ferromagnetic Ising site diluted model, in the form of a multifractal distribution of the decay exponents for the spatial correlation functions at the critical temperature. We have computed the exponents of the long-distance decay of higher moments of the correlation function, up to the 10th power, by studying three different quantities: global susceptibilities, local susceptibilities and correlation functions. We have found very clear evidences for multiscaling behavior.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑