scholarly journals One order parameter tensor mean field theory for biaxial liquid crystals

2011 ◽  
Vol 15 (2) ◽  
pp. 475-490 ◽  
Author(s):  
Xiaoyu Zheng ◽  
◽  
Peter Palffy-Muhoray ◽  
Keyword(s):  
Field Theory ◽  
Liquid Crystals ◽  
Order Parameter ◽  
Mean Field Theory ◽  
Mean Field ◽  
Biaxial Liquid Crystals

A mean field theory of SmCA* liquid crystals

1993 ◽  
Vol 148 (1) ◽  
pp. 59-70
Author(s):  
Masahiro Nakagawa
Keyword(s):  
Field Theory ◽  
Liquid Crystals ◽  
Mean Field Theory ◽  
Mean Field

CRITICAL DIMENSIONS OF SYSTEMS WITH JOINT MULTICRITICAL AND LIFSHITZ-POINT-LIKE BEHAVIOR

2011 ◽  
Vol 25 (22) ◽  
pp. 1839-1845 ◽  
Author(s):  
ARTEM V. BABICH ◽  
LESYA N. KITCENKO ◽  
VYACHESLAV F. KLEPIKOV
Keyword(s):  
Field Theory ◽  
Critical Phenomena ◽  
Critical Points ◽  
Order Parameter ◽  
Mean Field Theory ◽  
Mean Field ◽  
Critical Dimensions ◽  
Lifshitz Point ◽  
The Mean ◽  
Derivatives Of

In this article, we consider a model that allows one to describe critical phenomena in systems with higher powers and derivatives of order parameter. The systems considered have critical points with joint multicritical and Lifshitz-point-like properties. We assess the lower and upper critical dimensions of these systems. These calculation enable us to find the fluctuation region where the mean field theory description does not work.

Order Parameter, Mean-Field Theory, and the Ideal Bose Gas

1969 ◽  
Vol 188 (1) ◽  
pp. 522-525 ◽  
Author(s):  
M. Schick ◽  
P. R. Zilsel
Keyword(s):  
Field Theory ◽  
Order Parameter ◽  
Mean Field Theory ◽  
Mean Field ◽  
Bose Gas ◽  
Ideal Bose Gas ◽  
The Ideal

Mean-field theory of the nematic-smectic-Aphase change in liquid crystals

1976 ◽  
Vol 14 (6) ◽  
pp. 2307-2320 ◽  
Author(s):  
Robert B. Meyer ◽  
T. C. Lubensky
Keyword(s):  
Field Theory ◽  
Liquid Crystals ◽  
Mean Field Theory ◽  
Mean Field

scholarly journals The constructive role of diversity in the global response of coupled neuron systems

2010 ◽  
Vol 368 (1933) ◽  
pp. 5619-5632 ◽  
Author(s):  
Toni Pérez ◽  
Claudio R. Mirasso ◽  
Raúl Toral ◽  
James D. Gunton
Keyword(s):  
Field Theory ◽  
Order Parameter ◽  
Mean Field Theory ◽  
Mean Field ◽  
External Signal ◽  
Global Response ◽  
Diffusive Coupling ◽  
External Modulation ◽  
Collective Response

We study the effect that the heterogeneity present among the elements of an ensemble of coupled excitable neurons has on the collective response of the system to an external signal. We consider two different interaction scenarios, one in which the neurons are diffusively coupled and another in which the neurons interact via pulse-like signals. We find that the type of interaction between the neurons has a crucial role in determining the response of the system to the external modulation. We develop a mean-field theory based on an order parameter expansion that quantitatively reproduces the numerical results in the case of diffusive coupling.

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