Hard‐Sphere Lattice Gases. II. Plane‐Triangular and Three‐Dimensional Lattices

1967 ◽  
Vol 46 (8) ◽  
pp. 3237-3259 ◽  
Author(s):  
David S. Gaunt
Keyword(s):  
Hard Sphere ◽  
Three Dimensional ◽  
Lattice Gases

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.

An Approach Toward Emulating Molecular Interaction with a Graph

2006 ◽  
Vol 59 (12) ◽  
pp. 869 ◽  
Author(s):  
Hideaki Suzuki
Keyword(s):  
Random Walk ◽  
Molecular Interaction ◽  
Hard Sphere ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Atomic Clusters ◽  
Experimental Results ◽  
Random Walk Simulation ◽  
Mathematical Graph ◽  
Three Dimensional Space

Network artificial chemistry (NAC) uses a mathematical graph to emulate molecular interaction in a solvent. To emulate molecules' movement in a three-dimensional space, rewiring rules for NAC graphs’ edges must be designed to enable the edges to imitate the relations between molecules or atomic clusters. Our research formulated the ‘network energy’ representing this constraint and rewired the NAC graph to minimize the required energy. Experimental results for the NAC rewiring are compared with a hard-sphere random walk simulation.

Equilibrium distributions of a three-dimensional hard-sphere system under gravity

2005 ◽  
Vol 7 (2-3) ◽  
pp. 127-137 ◽  
Author(s):  
Nadejda B. Loguinova ◽  
Sergej A. Trigger ◽  
Yuri P. Vlasov ◽  
GertJan F. van Heijst
Keyword(s):  
Hard Sphere ◽  
Three Dimensional ◽  
Equilibrium Distributions
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