Statistics of ideal randomly branched polymers in a semi-space View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2005-06

AUTHORS

M. V. Tamm, S. K. Nechaev, I. Ya. Erukhimovich

ABSTRACT

We investigate the statistical properties of a randomly branched 3-functional N-link polymer chain without excluded volume, whose one point is fixed at the distance d from the impenetrable surface in a 3-dimensional space. Exactly solving the Dyson-type equation for the partition function Z(N, d )=N(-theta)e(gamma N) in 3D, we find the "surface" critical exponent theta=[Formula: see text], as well as the density profiles of 3-functional units and of dead ends. Our approach enables to compute also the pairwise correlation function of a randomly branched polymer in a 3D semi-space. More... »

PAGES

209-219

Identifiers

URI

http://scigraph.springernature.com/pub.10.1140/epje/i2005-10007-9

DOI

http://dx.doi.org/10.1140/epje/i2005-10007-9

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1001060388

PUBMED

https://www.ncbi.nlm.nih.gov/pubmed/15912264


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