Heriot-Watt Mathematics Report Series
HWM00-20, 10 Aug 2000
Metastability in the Classical, Truncated Becker-Döring Equations
D B Duncan and R M Dunwell
Abstract
We show that in the classical (fixed monomer concentration)
Becker-Döring equations truncated at finite cluster size, the slow
evolution (metastability) of solutions can be explained in terms of the
eigensystem of this linear ODE system. In particular, for a common choice
of coagulation-fragmentation rate constants there is an extremely small
nonzero eigenvalue which is isolated from the rest of the spectrum. We
give estimates and bounds on the size of this eigenvalue, the gap between
it and the second smallest, and the size of the largest eigenvalue.
The bounds on the smallest eigenvalue are very sharp when the system
size and/or monomer concentration are large enough.
Google Scholar Search: links, citations and journal (if available)
Publication
D B Duncan, R M Dunwell
, Metastability in the classical, truncated Becker-Doring equations, Proceedings of the Edinburgh Mathematical Society, 45, 701-716, (2002).
Contact Details | 2000 Reports Index |
Full Index