Issue
EPL
Volume 86, Number 2, April 2009
Article Number 22001
Number of page(s) 6
Section Nuclear Physics
DOI http://dx.doi.org/10.1209/0295-5075/86/22001
Published online 30 April 2009
EPL, 86 (2009) 22001
DOI: 10.1209/0295-5075/86/22001

Fluctuation force exerted by a planar self-avoiding polymer

P. Le Doussal and K. J. Wiese

CNRS-Laboratoire de Physique Théorique de l'Ecole Normale Supérieure - 24 rue Lhomond, 75231 Paris Cedex, France, EU

wiese@lpt.ens.fr

received 9 December 2008; accepted in final form 16 March 2009; published April 2009
published online 30 April 2009

Abstract
Using the results from Schramm Löwner evolution (SLE), we give the expression of the fluctuation-induced force exerted by a polymer on a small impenetrable disk, in various two-dimensional domain geometries. We generalize to two polymers and examine whether the fluctuation force can trap the object into a stable equilibrium. We compute the force exerted on the objects at the domain boundary, and the force mediated by the polymer between such objects. The results can straightforwardly be extended to any SLE interface, including Ising, percolation, and loop-erased random walks. Some are relevant for extremal value statistics.

PACS
24.60.-k - Statistical theory and fluctuations.
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
66.30.hk - Polymers.

© EPLA 2009