Non-Boltzmann classical correction to the velocity auto-correlation function for isotropic scattering in two dimensions
Alexander Dmitriev, Michel Dyakonov, Remi Jullien
TL;DR
This paper calculates the classical correction to the velocity auto-correlation function caused by memory effects beyond the Boltzmann equation, specifically for isotropic scattering in two dimensions, using analytical and numerical methods.
Contribution
It provides a detailed analytical and numerical analysis of memory effects on velocity auto-correlation in 2D isotropic scattering, extending beyond traditional Boltzmann approaches.
Findings
Derived analytical expressions for the correction.
Validated results with numerical simulations.
Identified the impact of memory effects on particle dynamics.
Abstract
The classical correction to the velocity auto-correlation function of non-interacting particles due to memory effects, which are beyond the Boltzmann equation, is calculated both analytically and numerically for the case of isotropic scattering in two dimensions.
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