Physics – Mathematical Physics
Scientific paper
2005-10-20
Physica D, vol 222, no1-2, pp 116-130 (2006)
Physics
Mathematical Physics
Scientific paper
10.1016/j.physd.2006.08.004
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.
Herrmann Michael
Naldzhieva Margarita
Niethammer Barbara
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