scholarly journals Critical exponent for the Lyapunov exponent and phase transitions—the generalized Hamiltonian mean-field model

2020 ◽  
Vol 53 (21) ◽  
pp. 215001
Author(s):  
M F P Silva ◽  
T M Rocha Filho ◽  
Y Elskens
Keyword(s):  
Phase Transitions ◽  
Lyapunov Exponent ◽  
Critical Exponent ◽  
Field Model ◽  
Mean Field ◽  
Mean Field Model

scholarly journals Topological signature of first-order phase transitions in a mean-field model

2003 ◽  
Vol 62 (6) ◽  
pp. 775-781 ◽  
Author(s):  
L Angelani ◽  
L Casetti ◽  
M Pettini ◽  
G Ruocco ◽  
F Zamponi
Keyword(s):  
Phase Transitions ◽  
Field Model ◽  
Mean Field ◽  
Mean Field Model ◽  
First Order ◽  
First Order Phase

A Phase Diagram for the Ice VI–VII–VIII Transitions

1998 ◽  
Vol 12 (08) ◽  
pp. 271-279 ◽  
Author(s):  
H. Yurtseven ◽  
S. Salihoğlu
Keyword(s):  
Phase Diagram ◽  
Phase Transitions ◽  
Field Model ◽  
Mean Field ◽  
Calculated Phase Diagram ◽  
Mean Field Model ◽  
Phase Line ◽  
Calculated Phase ◽  
The Mean ◽  
T Phase

In this study we obtain the P–T phase diagram for the ice VI–VII–VIII phase transitions by means of the mean field model developed here. We have fitted the experimentally measured P–T data to our phase line equations. Our calculated phase diagram describes adequately the observed behavior of the ice VI–VII–VIII phase transitions.

Study of Phase Transitions in Polymorphic Liquid Crystals

1998 ◽  
Vol 12 (02) ◽  
pp. 213-224 ◽  
Author(s):  
A. Nesrullajev ◽  
S. Salihoğlu ◽  
H. Yurtseven
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Liquid Crystals ◽  
Experimental Method ◽  
Wide Temperature Range ◽  
Field Model ◽  
Mean Field ◽  
High Accuracy ◽  
Mean Field Model ◽  
Phase Transition Temperatures

This work presents our investigations of mezomorphic properties of two polymorphic liquid crystals, namely, 4-nonyloxy-4-butoxyphenyl benzoate and N-(-4-heptyloxybenzylidene-4-butylaniline) in a wide temperature range, particularly, in the phase transition regions. By means of an original experimental method, the heterophase regions and also the phase transition temperatures have been determined for these materials with high accuracy. These phase transition intervals have been analyzed using a mean field model.

scholarly journals Lyapunov exponent and criticality in the Hamiltonian mean field model

2018 ◽  
Vol 2018 (3) ◽  
pp. 033204 ◽  
Author(s):  
L H Miranda Filho ◽  
M A Amato ◽  
T M Rocha Filho
Keyword(s):  
Lyapunov Exponent ◽  
Field Model ◽  
Mean Field ◽  
Mean Field Model
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