random flight
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scholarly journals Quantum Transport in a Crystal with Short-Range Interactions: The Boltzmann–Grad Limit

2021 ◽  
Vol 184 (2) ◽  
Author(s):  
Jory Griffin ◽  
Jens Marklof
Keyword(s):  
Quantum Transport ◽  
Quantum Chaos ◽  
Quantum Dynamics ◽  
Short Range ◽  
Lorentz Gas ◽  
Lattice Points ◽  
Linear Boltzmann Equation ◽  
Thin Domains ◽  
Grad Limit ◽  
Random Flight

AbstractWe study the macroscopic transport properties of the quantum Lorentz gas in a crystal with short-range potentials, and show that in the Boltzmann–Grad limit the quantum dynamics converges to a random flight process which is not compatible with the linear Boltzmann equation. Our derivation relies on a hypothesis concerning the statistical distribution of lattice points in thin domains, which is closely related to the Berry–Tabor conjecture in quantum chaos.

Markov Random Flight in the Space ℝ4

2021 ◽  
pp. 313-334
Author(s):  
Alexander D. Kolesnik
Keyword(s):  
Markov Random ◽  
Random Flight

Markov Random Flight in the Plane ℝ2

2021 ◽  
pp. 229-286
Author(s):  
Alexander D. Kolesnik
Keyword(s):  
Markov Random ◽  
Random Flight

Markov Random Flight in the Space ℝ6

2021 ◽  
pp. 335-344
Author(s):  
Alexander D. Kolesnik
Keyword(s):  
Markov Random ◽  
Random Flight

Markov Random Flight in the Space ℝ3

2021 ◽  
pp. 287-312
Author(s):  
Alexander D. Kolesnik
Keyword(s):  
Markov Random ◽  
Random Flight

An adaptive bird swarm algorithm with irregular random flight and its application

2019 ◽  
Vol 35 ◽  
pp. 57-65 ◽  
Author(s):  
Han Yang ◽  
Tao Chen ◽  
Nan-jing Huang
Keyword(s):  
Swarm Algorithm ◽  
Bird Swarm Algorithm ◽  
Random Flight

scholarly journals Random flight model analysis of protein-surfactant complexes

2019 ◽  
Author(s):  
Debasish Saha ◽  
Debes Ray ◽  
Joachim Kohlbrecher ◽  
Vinod K. Aswal
Keyword(s):  
Model Analysis ◽  
Random Flight Model ◽  
Random Flight ◽  
Flight Model

scholarly journals A random flight process associated to a Lorentz gas with variable density in a gravitational field

2018 ◽  
Vol 128 (1) ◽  
pp. 79-107
Author(s):  
Krzysztof Burdzy ◽  
Douglas Rizzolo
Keyword(s):  
Gravitational Field ◽  
Lorentz Gas ◽  
Variable Density ◽  
Random Flight
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