Violations of Hyperscaling in Finite-Size Scaling above the Upper Critical Dimension

被引：1

作者：

Young, A. Peter ^{[1
]}

机构：

[1] Univ Calif Santa Cruz, Phys Dept, Santa Cruz, CA 95064 USA

来源：

ENTROPY | 2024年 / 26卷 / 06期

关键词：

phase transitions; finite-size scaling; hyperscaling; upper critical dimension; ISING-MODEL;

D O I：

10.3390/e26060509

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider how finite-size scaling (FSS) is modified above the upper critical dimension, du=4, due to hyperscaling violations, which in turn arise from a dangerous irrelevant variable. In addition to the commonly studied case of periodic boundary conditions, we also consider new effects that arise with free boundary conditions. Some numerical results are presented in addition to theoretical arguments.

引用

页数：15

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