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  Reversible Clustering under the influence of a periodically modulated binding rate

Straube, R., & Falcke, M. (2007). Reversible Clustering under the influence of a periodically modulated binding rate. Physical Review E, 76: 010402(R). doi:10.1103/PhysRevE.76.010402.

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Genre: Journal Article
Alternative Title : Phys Rev E

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 Creators:
Straube, R.1, Author              
Falcke, M.2, Author
Affiliations:
1Systems Biology, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society, ou_1738155              
2Hahn-Meitner-Institute, Department of Theoretical Physics SF5, Berlin, ou_persistent22              

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 Abstract: We study cluster-cluster aggregation and fragmentation with a periodically modulated binding rate. Using the Smoluchowski mean-field equations, we derive exact solutions for the cluster size distribution for two time courses of the binding rate: (i) harmonic modulations and (ii) on-off switching of the binding rate with dwell times τb and τf. In both cases, the asymptotic cluster size distribution is oscillatory in time. The formation of small-sized clusters is enhanced compared to a constant binding rate below a critical cluster size sc. There is another critical cluster size sp close to which the size distribution becomes quasistationary. We calculate analytically the dependence of the critical points sc and sp on the relevant system parameters for on-off switching of the binding rate. Our results are relevant whenever clustering can be externally controlled. ©2007 The American Physical Society [accessed 2013 June 13th]

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Language(s): eng - English
 Dates: 2007
 Publication Status: Published in print
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 Rev. Type: -
 Identifiers: DOI: 10.1103/PhysRevE.76.010402
eDoc: 320905
Other: 25/07
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Title: Physical Review E
  Alternative Title : Phys Rev E
Source Genre: Journal
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Pages: - Volume / Issue: 76 Sequence Number: 010402(R) Start / End Page: - Identifier: -