Generalized mean-field model for the smectic-A–chiral-smectic-Cphase transition

1986 ◽  
Vol 34 (6) ◽  
pp. 5020-5026 ◽  
Author(s):  
C. C. Huang ◽  
S. Dumrongrattana
Keyword(s):  
Field Model ◽  
Mean Field ◽  
Mean Field Model ◽  
Smectic A ◽  
Generalized Mean

A generalized mean-field model of the natural and high-frequency actuated flow around a high-lift configuration

2009 ◽  
Vol 623 ◽  
pp. 283-316 ◽  
Author(s):  
DIRK M. LUCHTENBURG ◽  
BERT GÜNTHER ◽  
BERND R. NOACK ◽  
RUDIBERT KING ◽  
GILEAD TADMOR
Keyword(s):  
High Frequency ◽  
Field Model ◽  
Mean Field ◽  
Low Frequency ◽  
Navier Stokes ◽  
Mean Field Model ◽  
High Lift ◽  
The Mean ◽  
Generalized Mean ◽  
Low Dimensional

A low-dimensional Galerkin model is proposed for the flow around a high-lift configuration, describing natural vortex shedding, the high-frequency actuated flow with increased lift and transients between both states. The form of the dynamical system has been derived from a generalized mean-field consideration. Steady state and transient URANS (unsteady Reynolds-averaged Navier–Stokes) simulation data are employed to derive the expansion modes and to calibrate the system parameters. The model identifies the mean field as the mediator between the high-frequency actuation and the low-frequency natural shedding instability.

Generalized Mean-Field Model for Flow Control Using a Continuous Mode Interpolation

2006 ◽  
Author(s):  
Marek Morzynski ◽  
Witold Stankiewicz ◽  
Bernd Noack ◽  
Frank Thiele ◽  
Rudibert King ◽  
...  
Keyword(s):  
Flow Control ◽  
Field Model ◽  
Mean Field ◽  
Continuous Mode ◽  
Mean Field Model ◽  
Generalized Mean

scholarly journals Analysis of the Dielectric Constant as a Function of Temperature at Constant Electric Fields for the Smectic A-Smectic G Transition in A6

2012 ◽  
Vol 2012 ◽  
pp. 1-5
Author(s):  
H. Yurtseven ◽  
E. Kilit
Keyword(s):  
Dielectric Constant ◽  
Electric Fields ◽  
Field Model ◽  
Mean Field ◽  
Dielectric Susceptibility ◽  
Ferroelectric Liquid Crystal ◽  
Mean Field Model ◽  
Smectic A ◽  
Observed Behaviour ◽  
The Mean

The temperature dependence of the dielectric constant is studied under some fixed electric fields for the smectic G- (tilted-) smectic A (orthogonal) transition of the ferroelectric liquid crystal of compound A6. For this study, a mean field model with the quadrupole-quadrupole interactions is introduced. By fitting the inverse dielectric susceptibility from the mean field model to the experimental data from the literature, the observed behaviour of the dielectric constant is described satisfactorily for the smectic AG transition in A6. The transition temperature induced by an external electric field is also discussed for this ferroelectric compound.

The mean field model withP2θ2coupling for the smectic A-smectic C* phase transition in liquid crystals

1998 ◽  
Vol 66 (1-4) ◽  
pp. 259-270 ◽  
Author(s):  
S. SalihoĞLu ◽  
H. Yurtseven ◽  
A. Giz ◽  
D. Kayişoğlu ◽  
A. Konu
Keyword(s):  
Phase Transition ◽  
Liquid Crystals ◽  
Field Model ◽  
Mean Field ◽  
Mean Field Model ◽  
Smectic A ◽  
Smectic C ◽  
The Mean

scholarly journals A GENERALIZED MEAN FIELD APPROACH TO THE POLARON

2001 ◽  
Vol 11 (09) ◽  
pp. 1597-1607 ◽  
Author(s):  
J. NIETO
Keyword(s):  
Electrostatic Interaction ◽  
Existence And Uniqueness ◽  
Variational Formulation ◽  
Field Model ◽  
Mean Field ◽  
Mean Field Model ◽  
Field Approach ◽  
Generalized Mean ◽  
Charged Ions ◽  
Time Existence

In this paper we introduce a generalized mean field model to describe the motion of an electron in a lattice of charged ions with long range electrostatic interaction. The local and global in time existence and uniqueness of this model and its variational formulation are analyzed.

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