Ballistic annihilation kinetics for a multi-velocity one-dimensional ideal gas

TL;DR

This paper provides an exact analytical study of ballistic annihilation kinetics in a one-dimensional ideal gas with multiple velocities, revealing different regimes based on initial particle velocity distributions.

Contribution

It offers an exact solution for symmetric three-velocity distributions and discusses extensions to n-velocity cases, advancing understanding of kinetic regimes in such systems.

Findings

Exact solution for symmetric three-velocity distribution

Identification of different kinetic regimes based on initial conditions

Discussion on extension to n-velocity distributions

Abstract

Ballistic annihilation kinetics for a multi-velocity one-dimensional ideal gas is studied in the framework of an exact analytic approach. For an initial symmetric three-velocity distribution, the problem can be solved exactly and it is shown that different regimes exist depending on the initial fraction of particles at rest. Extension to the case of a n-velocity distribution is discussed.