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Statistics of randomly branched polymers in a semi-space

M. V. Tamm·S. K. Nechaev·I. Ya. Erukhimovich
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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 $Z(N,d)=N^{-θ} e^{γN}$ in 3D, we find the "surface" critical exponent $θ={5/2}$, 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.

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M. V. Tamm, S. K. Nechaev, I. Ya. Erukhimovich. 2004-10-01. Statistics of randomly branched polymers in a semi-space. https://doi.org/10.1140/epje%2Fi2005-10007-9

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