Properties of a mean field fluid confined to a narrow slit

2007 ◽  
pp. 76-86
Author(s):  
S. Sarman ◽  
J. C. Eriksson ◽  
R. Kjellander ◽  
S. Ljunggren
Keyword(s):  
Mean Field ◽  
Narrow Slit

Properties of a mean field fluid confined to a narrow slit

1987 ◽  
Vol 74 (1) ◽  
pp. 76-86 ◽  
Author(s):  
S. Sarman ◽  
J. C. Eriksson ◽  
R. Kjellander ◽  
S. Ljunggren
Keyword(s):  
Mean Field ◽  
Narrow Slit

Surface-Induced Liquid Crystal Transitions of Wormlike Polymers Confined in a Narrow Slit. A Mean-Field Theory

2007 ◽  
Vol 40 (4) ◽  
pp. 1187-1195 ◽  
Author(s):  
Jeff Z. Y. Chen ◽  
D. E. Sullivan ◽  
Xiangqun Yuan
Keyword(s):  
Field Theory ◽  
Liquid Crystal ◽  
Mean Field Theory ◽  
Mean Field ◽  
Narrow Slit

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
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