On a thermodynamically consistent modification of the Becker-Doering equations
数学物理
2008-12-27 v1 math.MP
摘要
Recently, Dreyer and Duderstadt have proposed a modification of the Becker--Doering cluster equations which now have a nonconvex Lyapunov function. We start with existence and uniqueness results for the modified equations. Next we derive an explicit criterion for the existence of equilibrium states and solve the minimization problem for the Lyapunov function. Finally, we discuss the long time behavior in the case that equilibrium solutions do exist.
引用
@article{arxiv.math-ph/0510074,
title = {On a thermodynamically consistent modification of the Becker-Doering equations},
author = {Michael Herrmann and Margarita Naldzhieva and Barbara Niethammer},
journal= {arXiv preprint arXiv:math-ph/0510074},
year = {2008}
}