Study of the Influence of Random Fields on Phase Transitions Using the Example of the Exactly Solvable Model

IF 3.3 3区材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Metals and Materials International Pub Date : 2024-05-11 DOI:10.1007/s12540-024-01689-7

V. N. Borodikhin, V. V. Prudnikov

引用次数: 0

Abstract

The influence of random fields on phase transitions in disordered systems has been studied using an exactly solvable model as an example. The value of the critical dimension \(d_{cr}=6\) has been found, and the existence of a dimensional shift \(d'=d-2\) has been established, which transforms the value of the critical indices of systems with random fields into the value of the critical indices of pure systems of the corresponding model. The phenomenological generalization of the model has been made taking into account the additional critical index \(\theta\) associated with violation of scale invariance.

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以精确可解模型为例研究随机场对相变的影响

摘要以一个可精确求解的模型为例，研究了随机场对无序系统相变的影响。找到了临界维度的值（d_{cr}=6），并确定了维度偏移（d'=d-2）的存在，它将带有随机场的系统的临界指数值转化为相应模型的纯系统的临界指数值。考虑到与违反尺度不变性相关的附加临界指数\(\theta\)，对模型进行了现象学概括。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Metals and Materials International 工程技术-材料科学：综合

CiteScore

7.10

自引率

8.60%

发文量

197

审稿时长

3.7 months

期刊介绍： Metals and Materials International publishes original papers and occasional critical reviews on all aspects of research and technology in materials engineering: physical metallurgy, materials science, and processing of metals and other materials. Emphasis is placed on those aspects of the science of materials that are concerned with the relationships among the processing, structure and properties (mechanical, chemical, electrical, electrochemical, magnetic and optical) of materials. Aspects of processing include the melting, casting, and fabrication with the thermodynamics, kinetics and modeling.