Complete binary collision approximation for the gas transport coefficients via the time correlation formulation

1998 ◽  
Vol 109 (9) ◽  
pp. 3452-3460 ◽  
Author(s):  
Saman Alavi ◽  
R. F. Snider
Keyword(s):  
Gas Transport ◽  
Transport Coefficients ◽  
Time Correlation ◽  
Binary Collision ◽  
Binary Collision Approximation ◽  
Collision Approximation

Multicollisions in the Linearized Boltzmann-Landau Transport Equation

1970 ◽  
Vol 25 (1) ◽  
pp. 115-120
Author(s):  
Arun K. Mitra ◽  
Sunanda Mitra
Keyword(s):  
Transport Equation ◽  
Landau Equation ◽  
Transport Coefficients ◽  
Binary Collision ◽  
Subsequent Paper ◽  
Binary Collision Approximation ◽  
Collision Processes ◽  
Collision Approximation

Abstract The treatment of the linearized Boltzmann-Landau equation in the binary collision approximation given in an earlier paper 4 has been extended, under certain assumption, to include all collision processes. The effect of ternary collisions on the transport coefficients in particular has been obtained in a subsequent paper.

Binary Collision Approximation

2020 ◽  
pp. 595-619 ◽  
Author(s):  
Christophe J. Ortiz ◽  
Laurence Luneville ◽  
David Simeone
Keyword(s):  
Binary Collision ◽  
Binary Collision Approximation ◽  
Collision Approximation

Phase shift of solitary wave in a one-dimensional granular chain

2019 ◽  
Vol 33 (10) ◽  
pp. 1950085
Author(s):  
Xian-Qing Yang ◽  
Yao Yang ◽  
Yang Jiao ◽  
Wei Zhang
Keyword(s):  
Phase Shift ◽  
Solitary Wave ◽  
Numerical Scheme ◽  
Binary Collision ◽  
One Dimensional ◽  
Binary Collision Approximation ◽  
Fifth Order ◽  
The Waves ◽  
Theoretical Results ◽  
Collision Approximation

In this paper, both the fifth-order Runge–Kutta numerical scheme and binary collision approximation are used to study the phase shift. Both numerical and theoretical results are shown that the solitary wave after head-on collision propagates along the chain behind the reference wave in both even and odd numbers of grain chains. It is the well-known feature of the appearance of the phase shift. Those results are in agreement with the experimental results. Furthermore, it is found that the phase shift is not only related to the collision position of the waves, but also to the position where the time is measured. The value of phase shift increases nonmonotonously with increasing the velocity of the opposite propagation of the wave. Binary collision approximation is applied to analyze the phase shift, and it is found that theoretical results agree well with numerical results, especially in the case of phase shift in odd chain.

Extension of Binary-Collision-Approximation-Based Simulation Applicable to Any Structured Target Material

2011 ◽  
Vol 50 (1S1) ◽  
pp. 01AB03 ◽  
Author(s):  
Arimichi Takayama ◽  
Seiki Saito ◽  
Atsushi M. Ito ◽  
Takahiro Kenmotsu ◽  
Hiroaki Nakamura
Keyword(s):  
Target Material ◽  
Binary Collision ◽  
Binary Collision Approximation ◽  
Collision Approximation
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