scholarly journals Large deviations for a binary collision model: energy evaporation

2022 ◽  
Vol 5 (1) ◽  
pp. 1-12
Author(s):  
Giada Basile ◽  
◽  
Dario Benedetto ◽  
Emanulele Caglioti ◽  
Lorenzo Bertini
Keyword(s):  
Large Deviations ◽  
Binary Collision ◽  
Discrete Energy ◽  
Collision Model ◽  
Number Of Particles ◽  
Exponentially Small

<abstract><p>We analyze the large deviations for a discrete energy Kac-like walk. In particular, we exhibit a path, with probability exponentially small in the number of particles, that looses energy.</p></abstract>

A Monte Carlo Binary Collision Model for  BF 2 Implants into (100) Single‐Crystal Silicon

1996 ◽  
Vol 143 (11) ◽  
pp. 3784-3790 ◽  
Author(s):  
S.‐H. Yang ◽  
C. M. Snell ◽  
S. J. Morris ◽  
S. Tian ◽  
K. Parab ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Single Crystal ◽  
Single Crystal Silicon ◽  
Binary Collision ◽  
Crystal Silicon ◽  
Collision Model

scholarly journals Collision-Induced Light Scattering in Liquids and the Binary Collision Model

1973 ◽  
Vol 51 (19) ◽  
pp. 2025-2031 ◽  
Author(s):  
J. H. K. Ho ◽  
G. C. Tabisz
Keyword(s):  
Molecular Dynamics ◽  
Light Scattering ◽  
Theoretical Estimate ◽  
Binary Collision ◽  
Reliable Information ◽  
Molecular Liquids ◽  
Collision Model ◽  
Scattering Spectrum ◽  
Light Scattering Spectrum ◽  
Depolarized Light Scattering

The collision-induced Rayleigh wing in the depolarized light scattering spectrum of five molecular liquids has been studied in order to try to assess the validity of the isolated binary collision model. The intensity profiles have been analyzed in terms of the expressions derived by Bucaro and Litovitz, [Formula: see text], and by Shin, [Formula: see text]. It is concluded that before a positive distinction can be made between models or before reliable information on molecular dynamics may be extracted from the spectrum, a good theoretical estimate of the form of the induced polarizability Δα for close collisions is required.

Binary collision model in gyrokinetic simulation plasmas

1993 ◽  
Vol 77 (2) ◽  
pp. 190-206 ◽  
Author(s):  
S. Ma ◽  
R.D. Sydora ◽  
J.M. Dawson
Keyword(s):  
Binary Collision ◽  
Collision Model

scholarly journals Thermal behavior of radiation damage cascades via the binary collision approximation: Comparison with molecular dynamics results

1990 ◽  
Vol 5 (11) ◽  
pp. 2652-2657 ◽  
Author(s):  
M. Caro ◽  
A. Ardelea ◽  
A. Caro
Keyword(s):  
Molecular Dynamics ◽  
Heat Equation ◽  
Energy Deposition ◽  
High Energy ◽  
Binary Collision ◽  
Collision Model ◽  
Energy Cascades ◽  
Simplified Procedure ◽  
Molecular Dynamics Results ◽  
Collision Approximation

Based on the profile of the energy deposition obtained using the binary collision model, we follow the diffusion of energy by solving a simplified version of the heat equation. An estimation of the molten zone compares very well with the molecular dynamics prediction for the same event. We discuss the reasons for this agreement and the relevance of such simplified procedure in terms of present-day computer limitations to simulate high energy cascades using molecular dynamics.

scholarly journals Linear Stability of Hyperbolic Moment Models for Boltzmann Equation

2017 ◽  
Vol 10 (2) ◽  
pp. 255-277 ◽  
Author(s):  
Yana Di ◽  
Yuwei Fan ◽  
Ruo Li ◽  
Lingchao Zheng
Keyword(s):  
Boltzmann Equation ◽  
Stability Condition ◽  
Hyperbolic Systems ◽  
Local Equilibrium ◽  
Cauchy Data ◽  
Binary Collision ◽  
Well Posedness ◽  
Convection Term ◽  
Collision Model ◽  
Moment Models

AbstractGrad's moment models for Boltzmann equation were recently regularized to globally hyperbolic systems and thus the regularized models attain local well-posedness for Cauchy data. The hyperbolic regularization is only related to the convection term in Boltzmann equation. We in this paper studied the regularized models with the presentation of collision terms. It is proved that the regularized models are linearly stable at the local equilibrium and satisfy Yong's first stability condition with commonly used approximate collision terms, and particularly with Boltzmann's binary collision model.

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