title: Statistics of ideal randomly branched polymers in a semi-space.
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.
authors.affiliation: Physics Department, Moscow State University, 119992 Moscow, Russia. tamm@polly.phys.msu.ru
authors.forename: M V
authors.initials: MV
authors.lastname: Tamm
authors.forename: S K
authors.initials: SK
authors.lastname: Nechaev
authors.forename: I Ya
authors.initials: IY
authors.lastname: Erukhimovich