scholarly journals Free volume power law for transport properties of hard sphere fluid

2021 ◽  
Vol 129 (4) ◽  
pp. 044701
Author(s):  
Hongqin Liu
Keyword(s):  
Transport Properties ◽  
Free Volume ◽  
Power Law ◽  
Hard Sphere ◽  
Hard Sphere Fluid

scholarly journals Transport properties of the rough hard sphere fluid

2012 ◽  
Vol 136 (4) ◽  
pp. 044520 ◽  
Author(s):  
Olga Kravchenko ◽  
Mark Thachuk
Keyword(s):  
Transport Properties ◽  
Hard Sphere ◽  
Hard Sphere Fluid

T1 process and dynamics in glass-forming hard-sphere liquids

Soft Matter ◽  
2015 ◽  
Vol 11 (13) ◽  
pp. 2700-2705 ◽  
Author(s):  
Yuxing Zhou ◽  
Scott T. Milner
Keyword(s):  
Free Volume ◽  
Hard Sphere ◽  
Geometric Criterion ◽  
Hard Sphere Fluid ◽  
Glass Forming ◽  
Active Particles ◽  
Hard Sphere Liquids ◽  
The Relationship

To study the relationship between dynamics and structure in a glass-forming liquid, we introduce a purely geometric criterion for locally mobile particles in a dense hard-sphere fluid: namely, “T1-active” particles, which can gain or lose at least one Voronoi neighbor by moving within their free volume with other particles fixed.

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.

Evaluation of bridge function for hard sphere fluid confined in a narrow slit-pore via TMMC Mayer-sampling

2010 ◽  
Vol 108 (11) ◽  
pp. 1531-1537 ◽  
Author(s):  
Wen Wen Chen ◽  
Huan Cong Huang ◽  
Sang Kyu Kwak
Keyword(s):  
Hard Sphere ◽  
Narrow Slit ◽  
Bridge Function ◽  
Hard Sphere Fluid ◽  
Slit Pore
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