Datensatz

Zusammenfassung

Dreyer and Duderstadt [J. Stat. Phys. 123, 1 (2006)]10.1007/s10955-006-9024-z proposed a modification of the standard mass-conserving Becker-Döring model. In this paper we solve for steady-state solutions to two versions of the Becker-Döring model. One is the modified mass-conserving model introduced by Dreyer and Duderstadt. The second one, which is a new version, is a modification of the so called constant free molecule Becker-Döring model. For practical purposes, there is a maximum cluster of size ν allowed in the system. For each version we study the two known truncations to finite system size. One is given by a zero flux to larger cluster sizes out of the system. The second one is obtained by setting the number of clusters larger than ν to zero. For each model and each truncation we determine the unique steady states by studying the null space of the flux matrix. The zero flux truncation gives equilibrium steady-states whereas the zero particle number truncation leads to non-equilibrium steady-states. © 2011 American Institute of Physics