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Constant flux relation for aggregation models with desorption and fragmentation
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Connaughton, Colm, Rajesh, R. and Zaboronski, Oleg V. (2007) Constant flux relation for aggregation models with desorption and fragmentation. In: International Conference on Statistical Physics, Raichak, India, Jan 05-09, 2007. Published in: Physica A - Statistical Mechanics and its Applications, Vol.384 (No.1). pp. 108-114. doi:10.1016/j.physa.2007.04.074 ISSN 0378-4371.
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Official URL: http://dx.doi.org/10.1016/j.physa.2007.04.074
Abstract
We study mass fluxes in aggregation models where mass transfer to large scales by aggregation occurs alongside desorption or fragmentation. Two models are considered: (1) a system of diffusing, aggregating particles with influx and outflux of particles (in-out model); and (2) a system of diffusing aggregating particles with fragmentation (chipping model). Both these models can exist in phases where probability distributions are power laws. In these power law phases, we argue that the two point correlation function should have a certain homogeneity exponent. These arguments are based on the exact constant flux scaling valid for simple aggregation with input. Predictions are compared with Monte Carlo simulations.
Item Type: | Conference Item (Paper) | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QD Chemistry |
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Divisions: | Faculty of Science, Engineering and Medicine > Research Centres > Centre for Complexity Science Faculty of Science, Engineering and Medicine > Science > Mathematics |
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Library of Congress Subject Headings (LCSH): | Aggregation (Chemistry) -- Mathematical models, Dynamics of a particle | ||||
Journal or Publication Title: | Physica A - Statistical Mechanics and its Applications | ||||
Publisher: | Elsevier Science BV | ||||
ISSN: | 0378-4371 | ||||
Official Date: | 1 October 2007 | ||||
Dates: |
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Volume: | Vol.384 | ||||
Number: | No.1 | ||||
Number of Pages: | 7 | ||||
Page Range: | pp. 108-114 | ||||
DOI: | 10.1016/j.physa.2007.04.074 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Conference Paper Type: | Paper | ||||
Title of Event: | International Conference on Statistical Physics | ||||
Type of Event: | Conference | ||||
Location of Event: | Raichak, India | ||||
Date(s) of Event: | Jan 05-09, 2007 | ||||
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