Fractal structure of the phase equilibrium curve of a system of two oscillating magnetic moments

JETP Letters ◽  
1998 ◽  
Vol 68 (8) ◽  
pp. 679-684 ◽  
Author(s):  
F. V. Lisovskii ◽  
O. P. Polyakov
Keyword(s):  
Phase Equilibrium ◽  
Fractal Structure ◽  
Magnetic Moments ◽  
Equilibrium Curve ◽  
Phase Equilibrium Curve

scholarly journals Supercritical behavior of thermodynamic systems

2019 ◽  
Vol 27 (1) ◽  
pp. 19-26
Author(s):  
A. N. Galdina
Keyword(s):  
Phase Transitions ◽  
Phase Equilibrium ◽  
Limit Point ◽  
Thermodynamic System ◽  
Continuous Phase ◽  
Stability Conditions ◽  
Equilibrium Curve ◽  
Limit Case ◽  
Phase Equilibrium Curve ◽  
Thermodynamic Forces

It is known that basic stability characteristics of a system are inversely proportional to fluctuations of external parameters. Above the critical point there is a region remaining homogeneous macroscopically, but becoming microheterogeneous within an interval of thermodynamic forces. Within this interval thermodynamic coefficients of stability pass finite non-zero minima. This corresponds to the considerable growth of fluctuations and indicates the occurrence of supercritical transition of continuous kind. The limit case of such continuous phase transitions is the critical state, which is also the limit point of some first-kind transitions (the limit point of phase equilibrium curve).In this paper we consider the relation between thermodynamic stability conditions and fluctuations of external parameters of the system. We study the behavior of a simple one-component thermodynamic system (liquid, magnet, and ferroelectric) in the supercritical region and derive the equation of the line of supercritical transition for this system.

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