Elastic anomalies at structural phase transitions : a consistent perturbation theory. I. One component order parameter

1992 ◽  
Vol 2 (10) ◽  
pp. 1949-1963 ◽  
Author(s):  
A. P. Levanyuk ◽  
S. A. Minyukov ◽  
M. Vallade
Keyword(s):  
Perturbation Theory ◽  
Phase Transitions ◽  
Order Parameter ◽  
Structural Phase ◽  
Structural Phase Transitions ◽  
Elastic Anomalies ◽  
Component Order ◽  
Component Order Parameter

scholarly journals Elastic anomalies due to structural phase transitions in mechanoluminescent SrAl2O4:Eu

2010 ◽  
Vol 107 (1) ◽  
pp. 013505 ◽  
Author(s):  
M. A. Carpenter ◽  
C. J. Howard ◽  
M. J. Andrew ◽  
R. E. A. McKnight ◽  
Y. Liu ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Structural Phase ◽  
Structural Phase Transitions ◽  
Elastic Anomalies

scholarly journals Computer simulation of the structural phase transitions in thin ferroelectric films

2017 ◽  
Vol 07 (01) ◽  
pp. 1750004 ◽  
Author(s):  
O. G. Maksimova ◽  
A. V. Maksimov ◽  
O. S. Baruzdina
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Boundary Conditions ◽  
Order Parameter ◽  
Mixed Boundary ◽  
Structural Phase ◽  
Film Surface ◽  
Mixed Boundary Conditions ◽  
Structural Phase Transitions ◽  
Ferroelectric Films

The influence of free surface and depolarizing field on structural phase transitions in thin ferroelectric films from an ordered state to a disordered one is investigated. The dependences of the order parameter on the distance from the free film surface are calculated. It is shown that with the presence of the depolarizing field and in its absence, the effective thickness of the surface layer depends on the temperature. Nearby the phase transition point, the thickness increases indefinitely. Calculations considering depolarizing field showed that the phase transition points for the bulk ferroelectrics and the film under given boundary conditions coincide. Also shown that in the absence of depolarizing field with mixed boundary conditions, the film thickness does not affect the order parameter, and in presence of the field, this influence is observed.

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