The coexistence curve for a mixture of hard‐particle lattice gases

1984 ◽  
Vol 80 (6) ◽  
pp. 2767-2771 ◽  
Author(s):  
Douglas Poland
Keyword(s):  
Coexistence Curve ◽  
Lattice Gases ◽  
Hard Particle

scholarly journals A derivation of the Liouville equation for hard particle dynamics with non-conservative interactions

2020 ◽  
pp. 1-35
Author(s):  
Benjamin D. Goddard ◽  
Tim D. Hurst ◽  
Mark Wilkinson
Keyword(s):  
Liouville Equation ◽  
Particle Dynamics ◽  
Fundamental Importance ◽  
Continuum Models ◽  
Hard Particle ◽  
Interacting Particles ◽  
Weak Formulation ◽  
Physical Systems ◽  
Physical Particle

The Liouville equation is of fundamental importance in the derivation of continuum models for physical systems which are approximated by interacting particles. However, when particles undergo instantaneous interactions such as collisions, the derivation of the Liouville equation must be adapted to exclude non-physical particle positions, and include the effect of instantaneous interactions. We present the weak formulation of the Liouville equation for interacting particles with general particle dynamics and interactions, and discuss the results using two examples.

Synergy effect modelling of cavitation and hard particle erosion: Implementation and validation

Wear ◽  
2021 ◽  
pp. 203901
Author(s):  
Leonel A. Teran ◽  
Santiago Laín ◽  
Sara A. Rodríguez
Keyword(s):  
Hard Particle ◽  
Synergy Effect ◽  
Particle Erosion

Viscosity of isotropic hard particle fluids

1996 ◽  
Vol 105 (24) ◽  
pp. 11175-11182 ◽  
Author(s):  
Michael P. Allen ◽  
Philip J. Camp ◽  
Carl P. Mason ◽  
Glenn T. Evans ◽  
Andrew J. Masters
Keyword(s):  
Hard Particle

Critical constants and density dependence of the Lorenz–Lorentz coefficient for germane

1978 ◽  
Vol 56 (9) ◽  
pp. 1140-1141 ◽  
Author(s):  
P. Palffy-Muhoray ◽  
D. Balzarini
Keyword(s):  
Critical Temperature ◽  
Density Dependence ◽  
Experimental Error ◽  
Critical Density ◽  
Coexistence Curve ◽  
Index Of Refraction ◽  
Density Range ◽  
Temperature Range ◽  
Critical Constants

The index of refraction at 6328 Å has been measured for germane in the density range 0.15 to 0.9 g/cm3. The temperature and density ranges over which measurements are made are near the coexistence curve. The coefficient in the Lorenz–Lorentz expression, [Formula: see text], is constant to within 0.5% within experimental error for the temperature range and density range studied. The coefficient is slightly higher near the critical density. The critical density is measured to be 0.503 g/cm3. The critical temperature is measured to be 38.92 °C.

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