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Tamm MV, Nechaev SK, Erukhimovich IY. Statistics of ideal randomly branched polymers in a semi-space. Eur Phys J E Soft Matter. 2005;17(2):209-19doi: 10.1140/epje/i2005-10007-9.
Tamm, M. V., Nechaev, S. K., & Erukhimovich, I. Y. (2005). Statistics of ideal randomly branched polymers in a semi-space. The European physical journal. E, Soft matter, 17(2), 209-19. https://doi.org/10.1140/epje/i2005-10007-9
Tamm, M V, et al. "Statistics of ideal randomly branched polymers in a semi-space." The European physical journal. E, Soft matter vol. 17,2 (2005): 209-19. doi: https://doi.org/10.1140/epje/i2005-10007-9
Tamm MV, Nechaev SK, Erukhimovich IY. Statistics of ideal randomly branched polymers in a semi-space. Eur Phys J E Soft Matter. 2005 Jun;17(2):209-19. doi: 10.1140/epje/i2005-10007-9. Epub 2005 May 24. PMID: 15912264.
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Eur Phys J E Soft Matter. 2005 Jun;17(2):209-19. doi: 10.1140/epje/i2005-10007-9. Epub 2005 May 24.

Statistics of ideal randomly branched polymers in a semi-space.

The European physical journal. E, Soft matter

M V Tamm, S K Nechaev, I Ya Erukhimovich

Affiliations

  1. Physics Department, Moscow State University, 119992 Moscow, Russia. [email protected]

PMID: 15912264 DOI: 10.1140/epje/i2005-10007-9

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.

References

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