Charged hard sphere results for the one‐component plasma

1980 ◽  
Vol 73 (4) ◽  
pp. 2009-2010 ◽  
Author(s):  
R. G. Palmer
Keyword(s):  
Hard Sphere ◽  
Component Plasma ◽  
The One

scholarly journals Prandtl Number in Classical Hard-Sphere and One-Component Plasma Fluids

Molecules ◽  
2021 ◽  
Vol 26 (4) ◽  
pp. 821
Author(s):  
Sergey Khrapak ◽  
Alexey Khrapak
Keyword(s):  
Prandtl Number ◽  
Hard Sphere ◽  
Solid Phase ◽  
Freezing Point ◽  
Three Dimensional ◽  
Order Unity ◽  
Strongly Coupled ◽  
Dielectric Fluids ◽  
Weakly Coupled ◽  
Component Plasma

The Prandtl number is evaluated for the three-dimensional hard-sphere and one-component plasma fluids, from the dilute weakly coupled regime up to a dense strongly coupled regime near the fluid-solid phase transition. In both cases, numerical values of order unity are obtained. The Prandtl number increases on approaching the freezing point, where it reaches a quasi-universal value for simple dielectric fluids of about ≃1.7. Relations to two-dimensional fluids are briefly discussed.

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.

scholarly journals Temperature anisotropy relaxation of the one-component plasma

2017 ◽  
Vol 57 (6-7) ◽  
pp. 238-251 ◽  
Author(s):  
Scott D. Baalrud ◽  
Jérôme Daligault
Keyword(s):  
Temperature Anisotropy ◽  
Component Plasma ◽  
The One

Structure Factor Studies of Like Charges in the One-Component Plasma Approximation

1986 ◽  
Vol 93 (2) ◽  
pp. 443-448 ◽  
Author(s):  
R. V. Gopala Rao ◽  
Ratna Das
Keyword(s):  
Structure Factor ◽  
Component Plasma ◽  
The One

scholarly journals Dislocation-mediated melting:  The one-component plasma limit

2001 ◽  
Vol 63 (6) ◽  
Author(s):  
Leonid Burakovsky ◽  
Dean L. Preston
Keyword(s):  
Component Plasma ◽  
The One

scholarly journals Exact and Asymptotic Features of the Edge Density Profile for the One Component Plasma in Two Dimensions

2014 ◽  
Vol 158 (5) ◽  
pp. 1147-1180 ◽  
Author(s):  
T. Can ◽  
P. J. Forrester ◽  
G. Téllez ◽  
P. Wiegmann
Keyword(s):  
Density Profile ◽  
Two Dimensions ◽  
Edge Density ◽  
Component Plasma ◽  
The One
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