Hard Particle Theories

2015 ◽  
pp. 117-132 ◽  
Author(s):  
Andrew J. Masters
Keyword(s):  
Author(s):  
Benjamin D. Goddard ◽  
Tim D. Hurst ◽  
Mark Wilkinson

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.


Wear ◽  
2021 ◽  
pp. 203901
Author(s):  
Leonel A. Teran ◽  
Santiago Laín ◽  
Sara A. Rodríguez

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):  

2017 ◽  
Vol 425 ◽  
pp. 1020-1027 ◽  
Author(s):  
Feifei Xu ◽  
Fengzhou Fang ◽  
Xiaodong Zhang

2019 ◽  
Vol 6 (4) ◽  
pp. 045203
Author(s):  
Zhe Lv ◽  
Rongguo Hou ◽  
Yebing Tian ◽  
Chuanzhen Huang ◽  
Hongtao Zhu ◽  
...  

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