The asymptotic behavior of the order parameter-order parameter correlation function for charged superfluid systems

1971 ◽  
Vol 5 (1) ◽  
pp. 91-105
Author(s):  
F. de Pasquale ◽  
P. Tombesi
Keyword(s):  
Asymptotic Behavior ◽  
Correlation Function ◽  
Order Parameter ◽  
Parameter Correlation

scholarly journals Correlations in Space and Time for a Soft-mode Phase-transforming System

1987 ◽  
Vol 40 (5) ◽  
pp. 619 ◽  
Author(s):  
SL Mair
Keyword(s):  
Correlation Function ◽  
Frequency Spectrum ◽  
Order Parameter ◽  
Central Peak ◽  
Square Lattice ◽  
Order Component ◽  
Low Frequencies ◽  
Potential Wells ◽  
Parameter Correlation ◽  
Dynamical Order

Using molecular dynamics (MD) for a system of.nonlinear (quadruple-quadratic) oscillators on a nearest-neighbour square lattice, the pair-displacement correlations. and the frequency spectrum for the dynamical order-parameter correlation function are obtained as a function of temperature. For temperatures T near Tc' the pair-displacement correlation function (with the long-range order component subtracted out) was found to vary with particle separation r as r- 1/2 exp { - A( T) rj, at least out to the tenth neighbour in the 40x40 particle lattice. This is consistent with predictions for the two-dimensional Ising model for T above, but not below, Tc. The frequency spectrum for the dynamical order-parameter correlation function shows the softening of the damped phonon-like modes as T approaches Tc and the formation of a central peak at Tc' consistent with the presence of soliton-like excitations. For small I T - Tc I an additional broad peak appears at low frequencies. This is interpreted as an additional phonon-like peak, the two quasi-phonon processes being associated with vibration across the potential barrier and vibration in one or other of the two potential wells respectively. Although the squared frequency wi of the soft quasi-phonon is approximately linear with I T - Tc lover a range of temperatures, as T increases the wi curve eventually flattens out.

scholarly journals Asymptotic Behavior of the Order Parameter in a Stochastic Sandpile

2005 ◽  
Vol 118 (1-2) ◽  
pp. 1-25 ◽  
Author(s):  
Ronaldo Vidigal ◽  
Ronald Dickman
Keyword(s):  
Asymptotic Behavior ◽  
Order Parameter

scholarly journals A DYNAMICAL APPROACH TO FRACTIONAL BROWNIAN MOTION

Fractals ◽  
1994 ◽  
Vol 02 (01) ◽  
pp. 81-94 ◽  
Author(s):  
RICCARDO MANNELLA ◽  
PAOLO GRIGOLINI ◽  
BRUCE J. WEST
Keyword(s):  
Dynamical System ◽  
Asymptotic Behavior ◽  
Brownian Motion ◽  
Correlation Function ◽  
Fractional Brownian Motion ◽  
Gaussian Processes ◽  
The Other ◽  
Hurst Coefficient ◽  
And Diffusion ◽  
Clear Relation

Herein we develop a dynamical foundation for fractional Brownian motion. A clear relation is established between the asymptotic behavior of the correlation function and diffusion in a dynamical system. Then, assuming that scaling is applicable, we establish a connection between diffusion (either standard or anomalous) and the dynamical indicator known as the Hurst coefficient. We argue on the basis of numerical simulations that although we have been able to prove scaling only for "Gaussian" processes, our conclusions may well apply to a wider class of systems. On the other hand, systems exist for which scaling might not hold, so we speculate on the possible consequences of the various relations derived in the paper on such systems.

Suppression of the Order Parameter Correlation Length by Inhomogeneous Strains

2000 ◽  
Vol 85 (13) ◽  
pp. 2765-2768 ◽  
Author(s):  
A. Tröster ◽  
W. Schranz ◽  
G. Krexner ◽  
A. V. Kityk ◽  
Z. Lodziana
Keyword(s):  
Correlation Length ◽  
Order Parameter ◽  
Parameter Correlation
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