A Model of Continuous Polymers with Random Charges

Buffet, E. and Pulé, J. V. (1996) A Model of Continuous Polymers with Random Charges. (Preprint)

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Abstract

We study a model of polymers with random charges; the possible shapes of the polymer are represented by the sample paths of a Brownian motion, and the cumulative charge distribution along a polymer is modelled by a realisation of a Brownian bridge. Charges interact through a general positive-definite two-body potential. We study the infinite volume free energy density for a fixed realisation of the Brownian motion; this is not self-averaging, but shows on the contrary a sample dependence through the local time of the Brownian motion. We obtain an explicit series representation for the free energy density; this has a finite radius of convergence, but the free energy is nevertheless analytic in the inverse temperature in the physical domain.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 14:06
Last Modified: 18 Jul 2018 10:57
URI: http://dair.dias.ie/id/eprint/671

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