Table of Contents
ISRN Mathematical Physics
Volume 2012, Article ID 327298, 32 pages
http://dx.doi.org/10.5402/2012/327298
Research Article

Explicit Asymptotic Velocity of the Boundary between Particles and Antiparticles

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, GSP-1, Moscow 119991, Russia

Received 14 April 2012; Accepted 21 June 2012

Academic Editors: V. Putkaradze, P. Roy, and M. Znojil

Copyright © 2012 V. A. Malyshev et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

On the real line initially there are infinite number of particles on the positive half line, each having one of -negative velocities . Similarly, there are infinite number of antiparticles on the negative half line, each having one of -positive velocities . Each particle moves with constant speed, initially prescribed to it. When particle and antiparticle collide, they both disappear. It is the only interaction in the system. We find explicitly the large time asymptotics of —the coordinate of the last collision before between particle and antiparticle.