Phase transitions associated with competing order parameters in compressively strainedSrTiO3thin films

2015 ◽  
Vol 91 (21) ◽  
Author(s):  
Tomoaki Yamada ◽  
Benjamin Wylie-van Eerd ◽  
Osami Sakata ◽  
Alexander K. Tagantsev ◽  
Hitoshi Morioka ◽  
...  
1981 ◽  
Vol 133 (1) ◽  
pp. 103 ◽  
Author(s):  
M.A. Anisimov ◽  
E.E. Gorodetskii ◽  
V.M. Zaprudskii

1989 ◽  
Vol 39 (4) ◽  
pp. 2238-2244 ◽  
Author(s):  
Joseph L. Birman ◽  
Jian-Ping Lu

2004 ◽  
Vol 07 (01) ◽  
pp. 93-123
Author(s):  
HEINZ MÜHLENBEIN ◽  
THOMAS AUS DER FÜNTEN

We investigate a family of totalistic probabilistic cellular automata (PCA) which depend on three parameters. For the uniform random neighborhood and for the symmetric 1D PCA the exact stationary distribution is computed for all finite n. This result is used to evaluate approximations (uni-variate and bi-variate marginals). It is proven that the uni-variate approximation (also called mean-field) is exact for the uniform random neighborhood PCA. The exact results and the approximations are used to investigate phase transitions. We compare the results of two order parameters, the uni-variate marginal and the normalized entropy. Sometimes different transitions are indicated by the Ehrenfest classification scheme. This result shows the limitations of using just one or two order parameters for detecting and classifying major transitions of the stationary distribution. Furthermore, finite size scaling is investigated. We show that extrapolations to n=∞ from numerical calculations of finite n can be misleading in difficult parameter regions. Here, exact analytical estimates are necessary.


1988 ◽  
Vol 02 (05) ◽  
pp. 847-850
Author(s):  
T. K. KOPEĆ

The Landau free energy functional with two competing order parameters is derived from microscopic considerations for bipolaronic superconductor.


1993 ◽  
Vol 07 (27) ◽  
pp. 1725-1731 ◽  
Author(s):  
L. DE CESARE ◽  
I. RABUFFO ◽  
D.I. UZUNOV

The phase transitions described by coupled spin -1/2 Ising models are investigated with the help of the mean field and the renormalization group theories. Results for the type of possible phase transitions and their fluctuation properties are presented. A fluctuation-induced second-order phase transition is predicted.


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