Tamm MV, Nechaev SK, Erukhimovich IY. Statistics of ideal randomly branched polymers in a semi-space.
THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2005;
17:209-19. [PMID:
15912264 DOI:
10.1140/epje/i2005-10007-9]
[Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/28/2005] [Accepted: 04/05/2005] [Indexed: 05/02/2023]
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.
Collapse