Time-dependent nonlinear growth theory of linear chains

Güngör Gündüz

Physica A: Statistical Mechanics and its Applications, 1996, vol. 234, issue 1, 386-406

Abstract: A theory was developed for the nonlinear growth of linear chains by incorporating the chain dynamics into the rate equation. This was achieved by using a modified Boltzmann equation. The chains were first divided into two groups as reacting and unreacting chains in any time interval. The contribution of reacting chains to the chain growth was accounted by using a time propagator. The nonlinearity in growth introduced by reacting chains was expressed in velocity space as a kind of enhanced diffusion. The space-independent and the space-dependent solutions of chain growth were obtained by using an almost unchanging quantity, the “fractional change of length per collision”. The statistical mechanics of chain growth was studied and the chain growth distance was determined.

Keywords: Nonlinear; Polymer; Chain; Growth (search for similar items in EconPapers)
Date: 1996
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S037843719600283X
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:234:y:1996:i:1:p:386-406

DOI: 10.1016/S0378-4371(96)00283-X

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().