Analytic estimation of the Lyapunov exponent in a mean-field model undergoing a phase transition

1998 ◽  
Vol 57 (6) ◽  
pp. 6599-6603 ◽  
Author(s):  
Marie-Christine Firpo
Keyword(s):  
Phase Transition ◽  
Lyapunov Exponent ◽  
Field Model ◽  
Mean Field ◽  
Mean Field Model ◽  
Analytic Estimation

scholarly journals Phase transition in a mean-field model for sympatric speciation

2006 ◽  
Vol 369 (2) ◽  
pp. 612-618 ◽  
Author(s):  
V. Schwämmle ◽  
K. Luz-Burgoa ◽  
J.S. Sá Martins ◽  
S. Moss de Oliveira
Keyword(s):  
Phase Transition ◽  
Field Model ◽  
Mean Field ◽  
Sympatric Speciation ◽  
Mean Field Model

scholarly journals Topological Origin of the Phase Transition in a Mean-Field Model

1999 ◽  
Vol 82 (21) ◽  
pp. 4160-4163 ◽  
Author(s):  
Lapo Casetti ◽  
E. G. D. Cohen ◽  
Marco Pettini
Keyword(s):  
Phase Transition ◽  
Field Model ◽  
Mean Field ◽  
Mean Field Model

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.

Calculation of the tilt angle and susceptibility for the α–β transition in quartz using a mean field model

2017 ◽  
Vol 31 (09) ◽  
pp. 1750092 ◽  
Author(s):  
H. Yurtseven ◽  
U. Ipekoğlu ◽  
S. Ateş
Keyword(s):  
Experimental Data ◽  
Phase Transition ◽  
Temperature Dependence ◽  
Tilt Angle ◽  
Phenomenological Model ◽  
Order Parameter ◽  
Field Model ◽  
Mean Field ◽  
Mean Field Model ◽  
The Mean

Tilt angle (order parameter) and the susceptibility are calculated as a function of temperature for the [Formula: see text]–[Formula: see text] transition in quartz using a Landau phenomenological model. The tilt angle as obtained from the model is fitted to the experimental data from the literature and the temperature dependence of the tilt angle susceptibility is predicted close to the [Formula: see text]–[Formula: see text] transition in quartz. Our results show that the mean field model explains the observed behavior of the [Formula: see text]–[Formula: see text] phase transition in quartz adequately and it can be applied to some related materials.

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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