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Long Time Behavior of a Modified Becker-Döring System

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Abstract

A modification, based on asymptotic behavior, of the Becker-Döring system is introduced in which the concentration of monomers is slaved to the concentrations of the other clusters. This modified system has the same continuum limit as the usual Becker-Döring system. For one member of the modified systems it is proved, for compact initial data, that all solutions will converge to the same self-similar form as time tends to infinity.

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Authors and Affiliations

  1. Department of Mathematics and Michigan Center for Theoretical Physics, University of Michigan, Ann Arbor, MI, 48109-1109, USA

    Peter Smereka

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  1. Peter Smereka
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Correspondence to Peter Smereka.

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Smereka, P. Long Time Behavior of a Modified Becker-Döring System. J Stat Phys 132, 519–533 (2008). https://doi.org/10.1007/s10955-008-9552-9

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  • DOI: https://doi.org/10.1007/s10955-008-9552-9

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