Quantum Transport in a Crystal with Short-Range Interactions: The Boltzmann–Grad Limit
نویسندگان
چکیده
We study the macroscopic transport properties of quantum Lorentz gas in a crystal with short-range potentials, and show that Boltzmann-Grad limit dynamics converges to random flight process which is not compatible linear Boltzmann equation. Our derivation relies on hypothesis concerning statistical distribution lattice points thin domains, closely related Berry-Tabor conjecture chaos.
منابع مشابه
Short-range interactions and scaling near integer quantum Hall transitions
We study the influence of short-range electron-electron interactions on scaling behavior near the integer quantum Hall plateau transitions. Short-range interactions are known to be irrelevant at the renormalization group fixed point which represents the transition in the noninteracting system. We find, nevertheless, that transport properties change discontinuously when interactions are introduc...
متن کاملInterplay between Long-Range Crystal Order and Short-Range Molecular Interactions Tunes Carrier Mobility in Liquid Crystal Dyes
We investigated the influence of molecular packing on the optical and electrical properties of the liquid crystalline dye 4,7-bis[5-(2-fluoro-4-pentyl-phenyl)-2-thienyl]-2,1,3-benzothiadiazole (FPPTB). FPPTB is crystalline at room temperature, exhibits a nematic phase at temperatures above 149 °C and is in an isotropic melt at temperatures above 230 °C. Solution processed FPPTB films were subje...
متن کاملFree Transport Limit for N-particles Dynamics with Singular and Short Range Potential
We study the limit of systems of interacting particles, when the number of particle becomes very large. The support of the interaction vanishes as the number of particles goes to infinity, so that the natural limit is just free transport, but no limitation is assumed about the strength of the interaction. We obtain explicit estimates for the number of particles effectively interacting and descr...
متن کاملThree-Body System with Short-Range Interactions
Within the framework of non-relativistic scalar effective field theory (EFT) it is shown that the amplitude for a particle scattering off a two-body bound state, in leading order EFT, is entirely determined by two-body parameters. No three-body forces are required at the leading order. The arbitrary parameter present in the solution of the equation of Skorniakov and Ter-Martirosian for doublet ...
متن کاملShort-range versus long-range electron-hole exchange interactions in semiconductor quantum dots
Using a many-body approach based on atomistic pseudopotential wave functions we show that the electronhole exchange interaction in semiconductor quantum dots is characterized by a large, previously neglected long-range component, originating from monopolar interactions of the transition density between different unit cells. The calculated electron-hole exchange splitting of CdSe and InP nanocry...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2021
ISSN: ['0022-4715', '1572-9613']
DOI: https://doi.org/10.1007/s10955-021-02797-z