Order parameters and the free energy of the three-dimensional ising model below the transition temperature

1989 ◽  
Vol 79 (1) ◽  
pp. 437-444 ◽  
Author(s):  
M. P. Kozlovskii ◽  
I. R. Yukhnovsii
Keyword(s):  
Free Energy ◽  
Transition Temperature ◽  
Ising Model ◽  
Three Dimensional ◽  
Order Parameters

Extended high temperature low field expansions for the Ising model

1979 ◽  
Vol 57 (8) ◽  
pp. 1239-1245 ◽  
Author(s):  
S. McKenzie
Keyword(s):  
Free Energy ◽  
High Temperature ◽  
Ising Model ◽  
Three Dimensional ◽  
Low Field ◽  
Hypercubic Lattice

High temperature low field expansions are derived from the free energy of the Ising model for several two- and three-dimensional lattices. These represent a considerable advance on earlier work. Expansions for the four-dimensional hypercubic lattice are also presented.

Phase transition of BiMnO3 multiferroic thin film by Landau–Ginzburg theory

2016 ◽  
Vol 30 (14) ◽  
pp. 1650082 ◽  
Author(s):  
Ahmad Musleh Alrub ◽  
Lye-Hock Ong ◽  
K.-H. Chew ◽  
J. M. Khoshman ◽  
Ghadeer N. Al Shabaan ◽  
...  
Keyword(s):  
Thin Film ◽  
Phase Transition ◽  
Free Energy ◽  
Phase Transitions ◽  
Transition Temperature ◽  
Thermodynamic Properties ◽  
Magnetic Transition ◽  
Order Parameters ◽  
Energy Term ◽  
Magnetic Transition Temperature

Magnetoelectric (ME) multiferroic bismuth manganite (BiMnO[Formula: see text] has ferroelectric (FE) and ferromagnetic order parameters that coupled biquadratically. Landau free energy expression in these order parameters is proposed to investigate the phase transition and thermodynamic properties of a BiMnO3 film. The surface energy term is included in the free energy. We find that the ME coupling enhances the magnetic transition temperature. The magnetization and polarization order parameters are both increased strongly below the new magnetic transition temperature. The curves for magnetization and polarization versus temperature show that the phase transition is second-order. The entropy, free energy, and specific heat of the BiMnO3 multiferroic are calculated. Thickness-driven phase transitions for magnetization and polarization of BiMnO3 thin film are clearly indicated.

scholarly journals On free energy of three-dimensional ising model at criticality

1997 ◽  
Vol 1 (3) ◽  
pp. 362-365 ◽  
Author(s):  
A. I. Sokolov ◽  
V. A. Ul'kov ◽  
E. V. Orlov
Keyword(s):  
Free Energy ◽  
Ising Model ◽  
Three Dimensional
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