二维和三维的6点三倍阿什金-泰勒全局相图

IF 3.1 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Physica A: Statistical Mechanics and its Applications Pub Date : 2025-10-15 DOI:10.1016/j.physa.2025.131049

Deniz Ipek Zeynioğlu , A. Nihat Berker

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引用次数: 0

摘要

利用重整化群理论在d=2和3中求解了包含6点相互作用的三倍Ashkin-Teller模型，该理论在层次格上是精确的，在最近改进的一/二阶跃迁Migdal-Kadanoff过程上是近似的。五种不同的有序相出现在维度不同的全局相图中。得到了2点和4点相互作用空间中16种不同的相图截面，有一阶和二阶相变，有多个三临界点和临界端点。

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6-point tripled Ashkin–Teller global phase diagrams in two and three dimensions

The tripled Ashkin–Teller model including 6-point interactions is solved in

d = 2

and 3 by renormalization-group theory that is exact on the hierarchical lattice and approximate on the recently first/second-order-transition improved Migdal–Kadanoff procedure. Five different ordered phases occur in the dimensionally distinct global phase diagrams. 16 different phase diagram cross-sections in the 2-point and 4-point interaction space are obtained, with first- and second-order phase transitions, multiple tricritical points and critical endpoints.

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来源期刊

Physica A: Statistical Mechanics and its Applications 物理-物理：综合

CiteScore

7.20

自引率

9.10%

发文量

852

审稿时长

6.6 months

期刊介绍： Physica A: Statistical Mechanics and its Applications Recognized by the European Physical Society Physica A publishes research in the field of statistical mechanics and its applications. Statistical mechanics sets out to explain the behaviour of macroscopic systems by studying the statistical properties of their microscopic constituents. Applications of the techniques of statistical mechanics are widespread, and include: applications to physical systems such as solids, liquids and gases; applications to chemical and biological systems (colloids, interfaces, complex fluids, polymers and biopolymers, cell physics); and other interdisciplinary applications to for instance biological, economical and sociological systems.