An order-parameter field theory for turbulent fluctuations

1975 ◽  
Vol 11 (6) ◽  
pp. 2165-2172 ◽  
Author(s):  
S. Grossmann
Keyword(s):  
Field Theory ◽  
Order Parameter ◽  
Turbulent Fluctuations ◽  
Parameter Field

scholarly journals TOWARD A CONFORMAL FIELD THEORY FOR THE QUANTUM HALL EFFECT

1992 ◽  
Vol 06 (19) ◽  
pp. 3235-3247
Author(s):  
GREG NAGAO
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Hall Effect ◽  
Quantum Hall Effect ◽  
Order Parameter ◽  
Quantum Hall ◽  
Cyclotron Motion ◽  
Conformal Field ◽  
Large N ◽  
Collective Coordinate

An effective Hamiltonian for the study of the quantum Hall effect is proposed. This Hamiltonian, which includes a "current-current" interaction has the form of a Hamiltonian for a conformal field theory in the large N limit. An order parameter is constructed from which the Hamiltonian may be derived. This order parameter may be viewed as either a collective coordinate for a system of N charged particles in a strong magnetic field; or as a field of spins associated with the cyclotron motion of these particles.

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.

THE ORDER PARAMETER FIELD FOR COSMIC STRING, INFLATION AND DARK ENERGY

2003 ◽  
Vol 18 (36) ◽  
pp. 2587-2597 ◽  
Author(s):  
PENG-MING ZHANG ◽  
YI-SHI DUAN ◽  
LI-MING CAO
Keyword(s):  
Dark Energy ◽  
Scalar Field ◽  
Early Universe ◽  
Cosmic String ◽  
Order Parameter ◽  
Cosmic Strings ◽  
Complex Scalar ◽  
Parameter Field ◽  
Complex Scalar Field

We present a whole frame for the cosmic strings, inflation and dark energy with the complex scalar field which can be regarded as the order parameter of our universe. One can find that the comic strings emerge in the zeros of the complex scalar field in the early universe. And with the evolution of complex scalar field, inflation and dark energy can be understood in this frame.

Field-Theory Description of Nonequilibrium Critical Dynamics for Spin Systems

2012 ◽  
Vol 190 ◽  
pp. 23-26
Author(s):  
Ivan A. Kalashnikov ◽  
Pavel V. Prudnikov
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Order Parameter ◽  
Spin Systems ◽  
Critical Dynamics ◽  
Relaxation Dynamics ◽  
Group Approach ◽  
Fixed Dimension ◽  
Renormalization Group Approach ◽  
Short Time

Renormalization-group approach is applied to investigate the short-time nonequilibriumcritical behavior of pure and diluted spin systems with nonmagnetic point-like impurities.The dissipative relaxation dynamics with non-conserved order parameter is considered. For thefirst time the description of the order parameter growth induced by the initial nonequilibriumstate of system is carried out at fixed dimension d = 3 without use of ε-expansion.

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

Self-consistent field theory of compressible phospholipid membranes at finite pressure

1998 ◽  
Vol 76 (11) ◽  
pp. 883-898 ◽  
Author(s):  
M D Whitmore ◽  
J P Whitehead
Keyword(s):  
Field Theory ◽  
Order Parameter ◽  
Orientational Order ◽  
Phospholipid Membranes ◽  
Orientational Order Parameter ◽  
Consistent Field ◽  
Self Consistent ◽  
Self Consistent Field ◽  
Temperature And Pressure ◽  
Self Consistent Field Theory

In this paper, we use the self-consistent field theory developed in thepreceding paper to study the effects of hydrostatic pressure on theliquid crystal phase of fully hydrated phospholipid membranes, and thecompeting effects of temperature and pressure. In agreement withexperiment, the theory predicts that, at constant temperature, thebilayer thickness and average orientational order parameter both increase withincreasing pressure. When both temperature and pressure are increasedsimultaneously so as to follow the liquid crystal/gel phase coexistencecurve, the thickness and average order parameter decrease, a resultwhich is also in agreement with experiment. We also examine anapproximate relationship between the thickness of the hydrophobicregion and the average orientational order parameter which has beenused to estimate layer thicknesses from NMR data. \\\\ PACS Nos.: 87.22.Bt, 87.10.+e, 64.60.Cn

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