The periodic oscillation of an adiabatic piston in two or three dimensions
Dynamical Systems
2010-11-25 v1
Abstract
We study a heavy piston of mass that separates finitely many ideal, unit mass gas particles moving in two or three dimensions. Neishtadt and Sinai previously determined a method for finding this system's averaged equation and showed that its solutions oscillate periodically. Using averaging techniques, we prove that the actual motions of the piston converge in probability to the predicted averaged behavior on the time scale when tends to infinity while the total energy of the system is bounded and the number of gas particles is fixed.
Cite
@article{arxiv.math/0612401,
title = {The periodic oscillation of an adiabatic piston in two or three dimensions},
author = {Paul Wright},
journal= {arXiv preprint arXiv:math/0612401},
year = {2010}
}
Comments
33 pages, 3 figures