Jellium sphere model in overlayer-substrate systems

1993 ◽  
Vol 3 (4) ◽  
pp. 1053-1058 ◽  
Author(s):  
Chen Lu-Jun ◽  
Wang Ning ◽  
Luo Enze
Keyword(s):  
Sphere Model

A Microscopic Model of the Asymmetric Neck Growth during Sintering Process upon the Asymmetric Particle Arrangement

2011 ◽  
Vol 327 ◽  
pp. 66-71
Author(s):  
Yu Niu ◽  
Feng Xu ◽  
Xiao Fang Hu ◽  
Yong Cun Li ◽  
Jing Zhao ◽  
...  
Keyword(s):  
Growth Rate ◽  
Contact Area ◽  
Monte Carlo Model ◽  
Traditional Theory ◽  
Sintering Process ◽  
Sphere Model ◽  
Particle Rotation ◽  
Neck Growth ◽  
Neck Size ◽  
Particle Arrangement

A kinetic Potts Monte Carlo model was used to investigate the microstructural evolution of a three particles configuration during sintering. The a series of peculiar phenomena was observed and analyzed quantitatively, which indicated that even if the particle shape and the contact area are both completely symmetrical, the asymmetric neck growth will arise due to a special particle arrangement. Although the linear relationship between neck size logarithm and time logarithm was consistent with the traditional theory, a slower neck growth rate comparing with that of the two sphere model displayed a result of the asymmetric neck growth. The analysis of the particle rotation was made to confirm the occurrence of the asymmetric neck growth. It was firstly observed that the morphology of the grain boundaries became bevel, and the reason for this morphology was discussed. All the special phenomena have proved that the asymmetric particle arrangement about the contact area can trigger the unstable neck growth.

The gas-liquid surface of the penetrable sphere model. II

1978 ◽  
Vol 358 (1694) ◽  
pp. 267-280 ◽  
Keyword(s):  
Surface Tension ◽  
Correlation Function ◽  
Liquid Surface ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Intermolecular Potential ◽  
Direct Correlation Function ◽  
Sphere Model ◽  
One Dimensional

The direct correlation function between two points in the gas-liquid surface of the penetrable sphere model is obtained in a mean-field approximation. This function is used to show explicitly that three apparently different ways of calculating the surface tension all lead to the same result. They are (1) from the virial of the intermolecular potential, (2) from the direct correlation function, and (3) from the energy density. The equality of (1) and (2) is shown analytically at all temperatures 0 < T < T c where T c is the critical temperature; the equality of (2) and (3) is shown analytically for T ≈ T c , and by numerical integration at lower temperatures. The equality of (2) and (3) is shown analytically at all temperatures for a one-dimensional potential.

Inequalities for penetrable sphere model systems

1974 ◽  
Vol 60 (12) ◽  
pp. 4888-4889
Author(s):  
James Monroe ◽  
Joel L. Lebowitz
Keyword(s):  
Model Systems ◽  
Sphere Model

scholarly journals Emergent dynamics of the Lohe Hermitian sphere model with frustration

2021 ◽  
Vol 62 (5) ◽  
pp. 052701
Author(s):  
Seung-Yeal Ha ◽  
Myeongju Kang ◽  
Hansol Park
Keyword(s):  
Sphere Model ◽  
Emergent Dynamics
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