Applications of the perturbative hypernetted‐chain equation to the one‐component plasma and the one‐component charged hard‐sphere systems

1995 ◽  
Vol 103 (21) ◽  
pp. 9370-9378 ◽  
Author(s):  
Hong Seok Kang ◽  
Francis H. Ree
Keyword(s):  
Hard Sphere ◽  
Component Plasma ◽  
Chain Equation ◽  
Hypernetted Chain ◽  
The One

scholarly journals Structure and thermodynamics of the dipolar hard sphere fluid from the reference‐hypernetted chain equation with minimized free energy

1986 ◽  
Vol 85 (5) ◽  
pp. 2916-2921 ◽  
Author(s):  
F. Lado ◽  
M. Lombardero ◽  
E. Enciso ◽  
S. Lago ◽  
J. L. F. Abascal
Keyword(s):  
Free Energy ◽  
Hard Sphere ◽  
Hard Sphere Fluid ◽  
Chain Equation ◽  
Hypernetted Chain

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
Sign in / Sign up

Export Citation Format

Share Document