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

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
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