Critical Viscosity and Ising-to-Mean-Field Crossover Near the Upper Consolute Point of an Ionic Solution

1996 ◽  
Vol 100 (1) ◽  
pp. 27-32 ◽  
Author(s):  
M. Kleemeier ◽  
S. Wiegand ◽  
T. Derr ◽  
V. Weiss ◽  
W. Schröer ◽  
...  
Keyword(s):  
Mean Field ◽  
Ionic Solution ◽  
Consolute Point ◽  
Critical Viscosity

Critical behavior of a conducting ionic solution near its consolute point

1990 ◽  
Vol 94 (13) ◽  
pp. 5361-5368 ◽  
Author(s):  
Maria L. Japas ◽  
J. M. H. Levelt. Sengers
Keyword(s):  
Critical Behavior ◽  
Ionic Solution ◽  
Consolute Point

PRETRANSITIONAL HEAT CAPACITY NEAR THE LOWER CONSOLUTE POINT OF NONIONIC SURFACTANT SOLUTIONS

2006 ◽  
Vol 20 (05) ◽  
pp. 607-616
Author(s):  
SUNG TAE SHIN
Keyword(s):  
Heat Capacity ◽  
Specific Heat ◽  
Power Law ◽  
Single Phase ◽  
Mean Field ◽  
Ionic Surfactants ◽  
Micellar Solutions ◽  
Surfactant Solutions ◽  
Consolute Point ◽  
Heat Capacity Measurements

The results of precision heat capacity measurements near the lower consolute point in aqueous solutions of non-ionic surfactants n-dodecyl hexaethylene glycol monoether (C12E6), C10E6, and C12E8, are reported. These surfactants form homogeneous single phase micellar solutions below the lower consolute point, Tc. The pretransitional specific heat in the homogeneous phase below Tc is found to grow with temperature and exhibits a power-law divergence. Analysis of the data obtained for the three systems reveals that the specific heat exponent, α=-αR/(1-αR)≅0.5, gives credence to mean field behavior.

On closed-loop equilibrium strategies for mean-field stochastic linear quadratic problems

2020 ◽  
Vol 26 ◽  
pp. 41
Author(s):  
Tianxiao Wang
Keyword(s):  
Optimal Control ◽  
Closed Loop ◽  
Optimal Control Problems ◽  
Mean Field ◽  
Open Loop ◽  
Time Inconsistency ◽  
Control Problems ◽  
Linear Quadratic ◽  
Linear Quadratic Optimal Control ◽  
Equilibrium Strategies

This article is concerned with linear quadratic optimal control problems of mean-field stochastic differential equations (MF-SDE) with deterministic coefficients. To treat the time inconsistency of the optimal control problems, linear closed-loop equilibrium strategies are introduced and characterized by variational approach. Our developed methodology drops the delicate convergence procedures in Yong [Trans. Amer. Math. Soc. 369 (2017) 5467–5523]. When the MF-SDE reduces to SDE, our Riccati system coincides with the analogue in Yong [Trans. Amer. Math. Soc. 369 (2017) 5467–5523]. However, these two systems are in general different from each other due to the conditional mean-field terms in the MF-SDE. Eventually, the comparisons with pre-committed optimal strategies, open-loop equilibrium strategies are given in details.

Mean field theory of n-layer unbinding

1993 ◽  
Vol 3 (3) ◽  
pp. 385-393 ◽  
Author(s):  
W. Helfrich
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field

The Determination of the Magnetoelectric Coupling Coefficient in Ferroelectric–Ferromagnetic Composite Based on PZT–Ferrite

2013 ◽  
Vol 58 (4) ◽  
pp. 1401-1403 ◽  
Author(s):  
J.A. Bartkowska ◽  
R. Zachariasz ◽  
D. Bochenek ◽  
J. Ilczuk
Keyword(s):  
Dielectric Permittivity ◽  
Coupling Coefficient ◽  
Mean Field ◽  
Field Approximation ◽  
Theoretical Description ◽  
Magnetoelectric Coupling ◽  
Mean Field Approximation ◽  
Dielectric Measurements ◽  
Temperature Dependences ◽  
Multiferroic Composite

Abstract In the present work, the magnetoelectric coupling coefficient, from the temperature dependences of the dielectric permittivity for the multiferroic composite was determined. The research material was ferroelectric-ferromagnetic composite on the based PZT and ferrite. We investigated the temperature dependences of the dielectric permittivity (") for the different frequency of measurement’s field. From the dielectric measurements we determined the temperature of phase transition from ferroelectric to paraelectric phase. For the theoretical description of the temperature dependence of the dielectric constant, the Hamiltonian of Alcantara, Gehring and Janssen was used. To investigate the dielectric properties of the multiferroic composite this Hamiltonian was expressed under the mean-field approximation. Based on dielectric measurements and theoretical considerations, the values of the magnetoelectric coupling coefficient were specified.

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