scholarly journals Long-range-corrected hybrids including random phase approximation correlation

2009 ◽  
Vol 130 (8) ◽  
pp. 081105 ◽  
Author(s):  
Benjamin G. Janesko ◽  
Thomas M. Henderson ◽  
Gustavo E. Scuseria
Keyword(s):  
Long Range ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Phase Approximation

ANYONS AND SUPERCONDUCTIVITY: RANDOM PHASE APPROXIMATION

1991 ◽  
Vol 05 (16n17) ◽  
pp. 2751-2790 ◽  
Author(s):  
A.L. FETTER ◽  
C.B. HANNA ◽  
R.B. LAUGHLIN
Keyword(s):  
Long Range ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Meissner Effect ◽  
External Electromagnetic Field ◽  
Ideal Gas ◽  
Phase Approximation ◽  
Fractional Statistics ◽  
Linear Dispersion ◽  
Long Range Interactions

The two-dimensional ideal gas of particles obeying ν fractional statistics is recast as an interacting Fermi gas with long-range gauge potentials. A self-consistent dielectric description of the random phase approximation (RPA) provides a concise expression for the linear response of the fractional statistics gas to an external electromagnetic field. The RPA, believed to be correct for the present case of long-range interactions, yields two central results that are classic features of superconductivity: (1) a sharp undamped collective mode with a linear dispersion relation at long wavelengths: (2) a gauge-invariant Meissner effect in the transverse response to an external magnetic field.

Interpretation of Preferential Adsorption Using Random Phase Approximation Theory

1995 ◽  
Vol 60 (10) ◽  
pp. 1641-1652 ◽  
Author(s):  
Henri C. Benoît ◽  
Claude Strazielle
Keyword(s):  
Approximation Theory ◽  
Random Phase Approximation ◽  
Virial Coefficient ◽  
Random Phase ◽  
Second Virial Coefficient ◽  
Solvent Mixture ◽  
Gyration Radius ◽  
Thermodynamic Quantities ◽  
Phase Approximation ◽  
Preferential Adsorption

It has been shown that in light scattering experiments with polymers replacement of a solvent by a solvent mixture causes problems due to preferential adsorption of one of the solvents. The present paper extends this theory to be applicable to any angle of observation and any concentration by using the random phase approximation theory proposed by de Gennes. The corresponding formulas provide expressions for molecular weight, gyration radius, and the second virial coefficient, which enables measurements of these quantities provided enough information on molecular and thermodynamic quantities is available.

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