On a thermodynamically consistent modification of the Becker-Doering equations

Details On a thermodynamically consistent modification of the Becker-Doering equations On a thermodynamically consistent modification of the Becker-Doering equations

2005-10-20

arxiv.org/abs/math-ph/0510074v1

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.

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