Multicritical behaviour of the compressible systems

TL;DR

This paper uses field theory and renormalization group analysis to study how elastic deformations influence the critical and multicritical behavior of compressible systems, revealing significant effects on phase diagrams and critical exponents.

Contribution

It provides a detailed analysis of elastic effects on critical and multicritical points, including the distinction between tricritical and tetracritical behavior in compressible systems.

Findings

Elastic deformations significantly alter critical exponents.

Multicritical points can be tetracritical rather than tricritical.

Elastic effects can change phase diagram topology from bicritical to tetracritical.

Abstract

The behaviour of uniform elastically isotropic compressible systems in critical and tricritical points is described in field-theoretical terms. Renormalizationgroup equations are analyzed for the case of three-dimensional systems in a two-loop approximation. Fixed points corresponding to various types of critical and multicritical behaviour under various macroscopic conditions imposed on the system are distinguished. It is shown that the effect of the elastic deformations on the critical behaviour of compressible systems is significant. It manifests itself both in a change in the critical exponents of Ising magnetic and in the appearance of multicritical points in phase diagrams at any dimension of the order parameter. It is also shown that, in a number of experimental investigations, the multicritical behaviour is not tricritical, as it has been stated, but tetracritical. The influence exerted by elastic deformations on systems with phase diagrams already containing multicritical points is analyzed. It is shown that the effect of elastic deformations leads to a change from bicritical behaviour to a tetracritical one.