Time-dependent, four-point density correlation function description of dynamical heterogeneity and decoupling in supercooled liquids

2000 ◽  
Vol 112 (2) ◽  
pp. 509-512 ◽  
Author(s):  
Sharon C. Glotzer ◽  
Vladimir N. Novikov ◽  
Thomas B. Schrøder
Keyword(s):  
Correlation Function ◽  
Supercooled Liquids ◽  
Time Dependent ◽  
Dynamical Heterogeneity ◽  
Density Correlation ◽  
Density Correlation Function ◽  
Point Density

TESTING POWER-LAW RELAXATION SCENARIOS IN A METASTABLE LIQUID

2012 ◽  
Vol 26 (29) ◽  
pp. 1250146 ◽  
Author(s):  
BHASKAR SEN GUPTA ◽  
SHANKAR P. DAS
Keyword(s):  
Correlation Function ◽  
Power Law ◽  
Hard Sphere ◽  
Numerical Solutions ◽  
Packing Fraction ◽  
Equilibrium Density ◽  
Density Correlation ◽  
Density Correlation Function ◽  
Basic Model ◽  
The One

The renormalized dynamics described by the equations of nonlinear fluctuating hydrodynamics (NFH) treated at one loop order gives rise to the basic model of the mode coupling theory (MCT). We investigate here by analyzing the density correlation function, a crucial prediction of ideal MCT, namely the validity of the multi step relaxation scenario. The equilibrium density correlation function is calculated here from the direct solutions of NFH equations for a hard sphere system. We make first detailed investigation for the robustness of the correlation functions obtained from the numerical solutions by varying the size of the grid. For an optimum choice of grid size we analyze the decay of the density correlation function to identify the multi-step relaxation process. Weak signatures of two step power law relaxation is seen with exponents which do not match predictions from the one loop MCT. For the final relaxation stretched exponential (KWW) behavior is seen and the relaxation time grows with increase of density. But apparent power law divergences indicate a critical packing fraction much higher than the corresponding MCT predictions for a hard sphere fluid.

Density correlation function of a superlattice with wave function overlap

1988 ◽  
Vol 196 (1-3) ◽  
pp. 487-493 ◽  
Author(s):  
R.Q. Yang ◽  
X.J. Lu ◽  
X.L. Lei ◽  
L.M. Xie ◽  
C.H. Tsai
Keyword(s):  
Wave Function ◽  
Correlation Function ◽  
Density Correlation ◽  
Density Correlation Function
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