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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.

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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)
Subjects:	Q Science > QA Mathematics Q Science > QD Chemistry
Divisions:	Faculty of Science > Centre for Complexity Science Faculty of Science > Mathematics
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
Date:	1 October 2007
Volume:	Vol.384
Number:	No.1
Number of Pages:	7
Page Range:	pp. 108-114
Identification Number:	10.1016/j.physa.2007.04.074
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access
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
Related URLs:	Other Repository
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URI:	http://wrap.warwick.ac.uk/id/eprint/31340