scholarly journals Out-of-equilibrium phase transitions in the Hamiltonian mean-field model: A closer look

2011 ◽  
Vol 83 (5) ◽  
Author(s):  
F. Staniscia ◽  
P. H. Chavanis ◽  
G. De Ninno
Keyword(s):  
Phase Transitions ◽  
Field Model ◽  
Equilibrium Phase ◽  
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 Phase transitions of quasistationary states in the Hamiltonian Mean Field model

Open Physics ◽  
2012 ◽  
Vol 10 (3) ◽  
Author(s):  
Pierre Buyl ◽  
Duccio Fanelli ◽  
Stefano Ruffo
Keyword(s):  
Phase Transition ◽  
Order Parameter ◽  
Field Model ◽  
Equilibrium Phase ◽  
Mean Field ◽  
Correct Order ◽  
Mean Field Model ◽  
Equilibrium Dynamics ◽  
Equilibrium Phase Transition ◽  
Negative Susceptibility

AbstractThe out-of equilibrium dynamics of the Hamiltonian Mean Field (HMF) model is studied in presence of an externally imposed magnetic field h. Lynden-Bell’s theory of violent relaxation is revisited and shown to adequately capture the system dynamics, as revealed by direct Vlasov based numerical simulations in the limit of vanishing field. This includes the existence of an out-of-equilibrium phase transition separating magnetized and non magnetized phases. We also monitor the fluctuations in time of the magnetization, which allows us to elaborate on the choice of the correct order parameter when challenging the performance of Lynden-Bell’s theory. The presence of the field h removes the phase transition, as it happens at equilibrium. Moreover, regions with negative susceptibility are numerically found to occur, in agreement with the predictions of the theory.

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