Structure and dynamics of vibrated granular chains: Comparison to equilibrium polymers
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 persi...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2010
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| Online Access: | http://hdl.handle.net/1721.1/51047 https://orcid.org/0000-0002-1112-5912 |
| _version_ | 1826204533253996544 |
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| author | Safford, Kevin Kantor, Yacov Kardar, Mehran Kudrolli, Arshad |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Safford, Kevin Kantor, Yacov Kardar, Mehran Kudrolli, Arshad |
| author_sort | Safford, Kevin |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T12:57:00Z |
| format | Article |
| id | mit-1721.1/51047 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:57:00Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/510472022-10-01T12:05:16Z Structure and dynamics of vibrated granular chains: Comparison to equilibrium polymers Safford, Kevin Kantor, Yacov Kardar, Mehran Kudrolli, Arshad Massachusetts Institute of Technology. Department of Physics Kardar, Mehran Kardar, Mehran 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. Israel Science Foundation National Science Foundation 2010-01-29T20:09:58Z 2010-01-29T20:09:58Z 2009-06 2009-01 Article http://purl.org/eprint/type/JournalArticle 1550-2376 1539-3755 http://hdl.handle.net/1721.1/51047 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. https://orcid.org/0000-0002-1112-5912 en_US http://dx.doi.org/10.1103/PhysRevE.79.061304 Physical Review E 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. application/pdf American Physical Society APS |
| spellingShingle | Safford, Kevin Kantor, Yacov Kardar, Mehran Kudrolli, Arshad Structure and dynamics of vibrated granular chains: Comparison to equilibrium polymers |
| title | Structure and dynamics of vibrated granular chains: Comparison to equilibrium polymers |
| title_full | Structure and dynamics of vibrated granular chains: Comparison to equilibrium polymers |
| title_fullStr | Structure and dynamics of vibrated granular chains: Comparison to equilibrium polymers |
| title_full_unstemmed | Structure and dynamics of vibrated granular chains: Comparison to equilibrium polymers |
| title_short | Structure and dynamics of vibrated granular chains: Comparison to equilibrium polymers |
| title_sort | structure and dynamics of vibrated granular chains comparison to equilibrium polymers |
| url | http://hdl.handle.net/1721.1/51047 https://orcid.org/0000-0002-1112-5912 |
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