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  Genuine non-self-averaging and ultraslow convergence in gelation.

Cho, Y., Mazza, M., Kahng, B., & Nagler, J. (2016). Genuine non-self-averaging and ultraslow convergence in gelation. Physical Review E, 94(2): 022602. doi:10.1103/PhysRevE.94.022602.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002B-2F4A-3 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-3D59-5
Genre: Journal Article

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 Creators:
Cho, Y.S., Author
Mazza, Marco1, Author              
Kahng, B., Author
Nagler, Jan2, Author              
Affiliations:
1Group Non-equilibrium soft matter, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063308              
2Department of Nonlinear Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063286              

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 Abstract: In irreversible aggregation processes droplets or polymers of microscopic size successively coalesce until a large cluster of macroscopic scale forms. This gelation transition is widely believed to be self-averaging, meaning that the order parameter (the relative size of the largest connected cluster) attains well-defined values upon ensemble averaging with no sample-to-sample fluctuations in the thermodynamic limit. Here, we report on anomalous gelation transition types. Depending on the growth rate of the largest clusters, the gelation transition can show very diverse patterns as a function of the control parameter, which includes multiple stochastic discontinuous transitions, genuine non-self-averaging and ultraslow convergence of the transition point. Our framework may be helpful in understanding and controlling gelation.

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Language(s): eng - English
 Dates: 2016-08-092016-08
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1103/PhysRevE.94.022602
 Degree: -

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Title: Physical Review E
Source Genre: Journal
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Pages: 8 Volume / Issue: 94 (2) Sequence Number: 022602 Start / End Page: - Identifier: ISSN: 1539-3755