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N-body interactions in soft-sphere coarse-grained models of star polymers

Andrea Pelissetto*

  • Dipartimento di Fisica dell’Università di Roma “La Sapienza” and INFN, Piazzale Aldo Moro 2, I-00185 Roma, Italy

  • *andrea.pelissetto@roma1.infn.it

Phys. Rev. E 85, 021803 – Published 13 February, 2012

DOI: https://doi.org/10.1103/PhysRevE.85.021803

Abstract

We consider the coarse-grained approach in which star polymers are mapped onto atoms located at the centers of the stars interacting by means of ultrasoft potentials. We generalize the Witten-Pincus formula to all n-body potentials: in the good-solvent regime all potentials show an ultrasoft logarithmic divergence when the relative distance of all n stars goes to zero, with coefficients that can be related to the partition-function exponents γf.

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