Tricritical behavior of random systems with a coupling to a nonfluctuating parameter

TL;DR

This paper investigates how disorder affects critical behavior in systems with hidden degrees of freedom, revealing tricritical points in constrained systems but only second-order transitions in unconstrained ones.

Contribution

It demonstrates the emergence of tricritical behavior due to disorder in constrained systems with hidden degrees of freedom, contrasting with second-order transitions in unconstrained systems.

Findings

Tricritical behavior appears in constrained systems with disorder.

Unconstrained systems exhibit only second-order phase transitions.

Disorder influences the nature of phase transitions in systems with hidden degrees of freedom.

Abstract

The influence of disordering upon critical behavior of the system with hidden degrees of freedom is considered. It is shown that there is a tricritical behavior in the constrained system, while in the unconstrained system only phase transitions of the second order occur.