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Non-Markovian models of the growth of a polymer chain

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Aug 2015Embargo end date: 01 Jan 2014 Spain English Publisher:The Royal SocietyJournal:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, volume 471, page 20,140,899 (issn: 1364-5021, eissn: 1471-2946, Copyright policy )
Authors: Elena Akhmatskaya; Elena Akhmatskaya; Simone Rusconi; José M. Asua; Dmitri Sokolovski; Dmitri Sokolovski;

doi: 10.1098/rspa.2014.0899 , 10.48550/arxiv.1407.7413

arXiv: http://arxiv.org/abs/1407.7413

handle: 20.500.11824/152

Non-Markovian models of the growth of a polymer chain

Abstract

Using simple exactly solvable models, we show that event-dependent time delays may lead to significant non-Poisson effects in the statistics of polymer chain growth. The results are confirmed by stochastic simulation of various growth scenarios. Our interest in mathematical aspects of non-Markovian growth arises from recent successful application of delayed probability density functions in stochastic modelling of controlled radical polymerization.

Country
Spain
Related Organizations
Keywords

Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Non-markovian growth, Event-dependent delays, Condensed Matter - Statistical Mechanics, Polymerization

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    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
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    impulse
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green
bronze