Nonlinear relaxation near the critical point: Molecular-field and scaling theory

1976 ◽  
Vol 13 (1) ◽  
pp. 263-270 ◽  
Author(s):  
Zoltán Rácz
Keyword(s):  
Critical Point ◽  
Scaling Theory ◽  
Molecular Field ◽  
Nonlinear Relaxation

Near the Critical Point: Scaling Theory

Percolation ◽  
1989 ◽  
pp. 148-168
Author(s):  
Geoffrey Grimmett
Keyword(s):  
Critical Point ◽  
Scaling Theory

Scaling theory of the paranematic nematic critical point

1991 ◽  
Vol 9 (1) ◽  
pp. 27-30 ◽  
Author(s):  
Chester A. Vause
Keyword(s):  
Critical Point ◽  
Scaling Theory

Quantum mechanics meets scaling theory near the critical point

2020 ◽  
Vol 139 (4) ◽  
Author(s):  
Carlos Bistafa ◽  
Tárcius N. Ramos ◽  
Kaline Coutinho ◽  
Sylvio Canuto
Keyword(s):  
Quantum Mechanics ◽  
Critical Point ◽  
Scaling Theory

Landau Theory of a System with Two Bilinearly Coupled Order Parameter sin External Field: Exact Mean Field Solution, Critical Properties and Isothermal Susceptibility

1995 ◽  
Vol 50 (9) ◽  
pp. 789-794
Author(s):  
A.A. Kornyshev ◽  
D.A. Kossakowski ◽  
S. Leikin
Keyword(s):  
External Field ◽  
Critical Point ◽  
Mean Field ◽  
Higher Order ◽  
Order Transition ◽  
Molecular Field ◽  
Temperature Phase ◽  
Transition Line ◽  
Simple Description ◽  
Field Solution

Abstract We present simple description of a system with two bilinearly coupled order parameters in external field based on an exact mean-field solution of the Landau Hamiltonian. It reproduces the qualitative form of the "field-temperature" phase diagram given by a molecular-field model and by more sophisticated theories and experiments on metamagnets. The solution gives the same critical exponents as the molecular-field theory, but it is not restricted to the magnetic systems only and it is easier to handle, since it formulates the results in explicit analytical form. The susceptibility in this model does not diverge at the second order transition line (far from a higher order critical point separating the second and first order transition lines), but jumps down from the lower temperature wing to the higher temperature one. The jump amplitude is proportional to the square of the field in small fields and diverges in large fields close to the higher order critical point.

The critical point and scaling theory

Physica ◽  
1974 ◽  
Vol 73 (1) ◽  
pp. 107-118 ◽  
Author(s):  
B. Widom
Keyword(s):  
Critical Point ◽  
Scaling Theory
Sign in / Sign up

Export Citation Format

Share Document