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Kinetics of stochastic degradation/evaporation processes in nanoparticle aggregates and polymer-like systems with multiple bonds

Gramotnev, Dmitri K. & Gramotnev, Galina (2006) Kinetics of stochastic degradation/evaporation processes in nanoparticle aggregates and polymer-like systems with multiple bonds. Journal of Applied Physics, 101(8), 084902-084902.

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Abstract

Using the graph representation of stochastic degradation/evaporation processes, general solutions of kinetic rate equations are found and analyzed, describing degradation of complex systems with multiple bonds, such as particle aggregates, fractals, self-arranged systems, double-stranded polymers and polymer networks, biological molecules, etc. The analysis is conducted on the example of thermal fragmentation of aerosol nanoparticles, caused by stochastic evaporation of bonding volatile molecules. A simple analytical approach for the determination of numbers of particles at different degradation stages, undertaking different evolutionary paths is developed and applied for the analysis of several specific types of aerosol particle aggregates. Significant probabilistic delays are shown to occur during degradation/fragmentation of intermediate modes, resulting in accumulation of particles in these modes. Conditions for such accumulation are determined and discussed. The obtained results are immediately applicable for the analysis of any other polymer-like systems with multiple bonds experiencing stochastic degradation.

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4 citations in Web of Science®

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ID Code: 6583
Item Type: Journal Article
DOI: 10.1063/1.2715742
ISSN: 0021-8979
Subjects: Australian and New Zealand Standard Research Classification > PHYSICAL SCIENCES (020000) > CONDENSED MATTER PHYSICS (020400) > Surfaces and Structural Properties of Condensed Matter (020406)
Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > STATISTICS (010400) > Stochastic Analysis and Modelling (010406)
Australian and New Zealand Standard Research Classification > CHEMICAL SCIENCE (030000) > MACROMOLECULAR AND MATERIALS CHEMISTRY (030300) > Physical Chemistry of Materials (030304)
Australian and New Zealand Standard Research Classification > EARTH SCIENCES (040000) > ATMOSPHERIC SCIENCES (040100) > Atmospheric Sciences not elsewhere classified (040199)
Australian and New Zealand Standard Research Classification > TECHNOLOGY (100000) > NANOTECHNOLOGY (100700) > Nanotechnology not elsewhere classified (100799)
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Copyright Owner: Copyright 2006 American Institute of Physics
Copyright Statement: Reproduced in accordance with the copyright policy of the publisher.
Deposited On: 19 Mar 2007
Last Modified: 09 Jun 2010 22:38

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