Issue 4, 2014

Annealed lattice animal model and Flory theory for the melt of non-concatenated rings: towards the physics of crumpling

Abstract

A Flory theory is constructed for a long polymer ring in a melt of unknotted and non-concatenated rings. The theory assumes that the ring forms an effective annealed branched object and computes its primitive path. It is shown that the primitive path follows self-avoiding statistics and is characterized by the corresponding Flory exponent of a polymer with excluded volume. Based on that, it is shown that rings in the melt are compact objects with overall size proportional to their length raised to the 1/3 power. Furthermore, the contact probability exponent ╬│contact is estimated, albeit by a poorly controlled approximation, with the result close to 1.1 consistent with both numerical and experimental data.

Graphical abstract: Annealed lattice animal model and Flory theory for the melt of non-concatenated rings: towards the physics of crumpling

Article information

Article type
Paper
Submitted
06 Nov 2013
Accepted
26 Nov 2013
First published
28 Nov 2013

Soft Matter, 2014,10, 560-565

Annealed lattice animal model and Flory theory for the melt of non-concatenated rings: towards the physics of crumpling

A. Y. Grosberg, Soft Matter, 2014, 10, 560 DOI: 10.1039/C3SM52805G

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