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Phys. Rev. E 65, 031306 (2002) [4 pages]

Granular polymer solution

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Jeffrey J. Prentis* and Daniel R. Sisan
Department of Natural Sciences, University of Michigan at Dearborn, Dearborn, Michigan 48128

Received 14 March 2001; published 27 February 2002

We have measured the spectrum of fluctuations in the size of a granular polymer in a granular solvent. The system consists of a linear chain of plastic spheres immersed in a planar fluid of self-propelled balls. The time average of the end-to-end length r of the chain scales with the number of links N according to r2N2ν, with ν=0.75±0.01. This provides an experimental test of the theoretical value ν=3/4 of the critical exponent for a self-avoiding random walk in two dimensions. The measured probability distribution P(r) is compared with the universal function of the scaling theory.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.65.031306
DOI:
10.1103/PhysRevE.65.031306
PACS:
45.70.-n, 36.20.-r, 05.40.-a, 89.75.-k

*Email address: jprentis@umd.umich.edu

Present address: Department of Physics, University of Maryland, College Park, MD 20742.