Structure and dynamics of vibrated granular chains: Comparison to equilibrium polymers
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Safford-2009-Structure and dynami.pdf
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Author(s)
Safford, Kevin
Kantor, Yacov
Kardar, Mehran
Kudrolli, Arshad
Date Issued
June 2009
Journal
Physical Review E
Publisher
American Physical Society
Citation
Safford, Kevin et al. “Structure and dynamics of vibrated granular chains: Comparison to equilibrium polymers.” Physical Review E 79.6 (2009): 061304. (C) 2010 The American Physical Society.
Version
Final published version
Abstract
We show that the statistical properties of a vibrated granular bead chain are similar to standard models of polymers in equilibrium. Granular chains of length up to N=1024 beads were confined within a circular vibrating bed, and their configurations were imaged. To differentiate the effects of persistence and confinement on the chain, we compared with simulations of both persistent random-walk (RW) and self-avoiding walk (SAW) models. Static properties, such as the radius of gyration and structure factor, are governed for short chains (N≤128) by persistence and can be matched by those of RWs. Self-avoidance and confinement effects are both important for longer chains and the results are well described by equilibrated SAWs. We also find that the collective dynamics of the granular chain is similar to the Rouse model of polymers. In particular, as long as confinement is negligible, the center of mass of the chain diffuses with a diffusion coefficient that scales as 1/N, and the dynamic structure factor decays exponentially in time.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
http://dx.doi.org/10.1103/PhysRevE.79.061304
