Self-consistent mean field forces in turbulent plasmas: Current and momentum relaxation

1997 ◽  
Author(s):  
C.C. Hegna
Keyword(s):  
Mean Field ◽  
Self Consistent ◽  
Momentum Relaxation ◽  
Turbulent Plasmas

scholarly journals Understanding Depletion Induced Like-Charge Attraction from Self-Consistent Field Model

2017 ◽  
Vol 22 (1) ◽  
pp. 95-111 ◽  
Author(s):  
Pei Liu ◽  
Manman Ma ◽  
Zhenli Xu
Keyword(s):  
Mean Field ◽  
Interaction Force ◽  
Systematic Investigation ◽  
Self Consistent ◽  
Self Consistent Field ◽  
Anomalous Feature ◽  
Long Time ◽  
Ionic Size ◽  
Poisson Boltzmann ◽  
Force Calculation

AbstractThe interaction force between likely charged particles/surfaces is usually repulsive due to the Coulomb interaction. However, the counterintuitive like-charge attraction in electrolytes has been frequently observed in experiments, which has been theoretically debated for a long time. It is widely known that the mean field Poisson-Boltzmann theory cannot explain and predict this anomalous feature since it ignores many-body properties. In this paper, we develop efficient algorithm and perform the force calculation between two interfaces using a set of self-consistent equations which properly takes into account the electrostatic correlation and the dielectric-boundary effects. By solving the equations and calculating the pressure with the Debye-charging process, we show that the self-consistent equations could be used to study the attraction between like-charge surfaces from weak-coupling to mediate-coupling regimes, and that the attraction is due to the electrostatics-driven entropic force which is significantly enhanced by the dielectric depletion of mobile ions. A systematic investigation shows that the interaction forces can be tuned by material permittivity, ionic size and valence, and salt concentration, and that the like-charge attraction exists only for specific regime of these parameters.

CURRENTS, SPIN DENSITIES AND MEAN-FIELD FORM FACTORS IN ROTATING NUCLEI: A SEMI-CLASSICAL APPROACH

2004 ◽  
Vol 13 (01) ◽  
pp. 225-233 ◽  
Author(s):  
J. BARTEL ◽  
K. BENCHEIKH ◽  
P. QUENTIN
Keyword(s):  
Mean Field ◽  
Form Factors ◽  
Spin Vector ◽  
Self Consistent ◽  
Field Form ◽  
Local Densities ◽  
The Mean ◽  
Self Consistency ◽  
Spin Densities ◽  
Rotating Nuclei

We present self-consistent semi-classical local densities characterising the structure of rotating nuclei. A particular emphasis is put on those densities which are generated by the breaking of time-reversal symmetry through the cranking piece of the Routhian, namely the current density and the spin vector density. Our approach which is based on the Extended-Thomas-Fermi method goes beyond the Inglis cranking approach and contains naturally the Thouless-Valatin self-consistency terms expressing the response of the mean field to the time-odd part of the density matrix.

Self-Consistent Mean-Field Models and Their Application to Superheavy Nuclei

2004 ◽  
pp. 407-414
Author(s):  
T. J. Bürvenich ◽  
P.-G. Reinhard ◽  
J. A. Maruhn ◽  
W. Greiner
Keyword(s):  
Mean Field ◽  
Superheavy Nuclei ◽  
Mean Field Models ◽  
Self Consistent
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