A complex network approach for the growth of aerogels

A complex network approach for the growth of aerogels

The formation of the gel structure of a finite set of inorganic particles interacting via long range potentials is studied via Monte Carlo simulations for different conditions of temperature and concentration. We found that there are certain specific conditions wherein gelation can occur. Moreover,...

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Bibliographic Details
Published in:Physica A Vol. 406; pp. 131 - 138
Main Authors: Morales, R.V., da Cunha, C.R., Rambo, C.R.
Format: Journal Article
Language:English
Published: 15-07-2014
Subjects:
Aerogels
Computer simulation
Divergence
Mathematical analysis
Monte Carlo methods
Networks
Order parameters
Statistical mechanics
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Summary:The formation of the gel structure of a finite set of inorganic particles interacting via long range potentials is studied via Monte Carlo simulations for different conditions of temperature and concentration. We found that there are certain specific conditions wherein gelation can occur. Moreover, the integrated network of connected particles is investigated. A divergence of an order parameter was observed and indicates the transition from random Erdos-Renyi to scale-free networks. The effects of a reaction limited process are also investigated and indicate that the dissociation of particles favors the formation of random networks.
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ISSN:0378-4371
DOI:10.1016/j.physa.2014.03.058