Universality in the jamming limit for elongated hard particles in one dimension
We study the thermodynamics properties of a one-dimensional gas of hard elongated particles. The particle centers are restricted to a line, while they can rotate in a two-dimensional space. Correlations between orientations of the objects are studied (by the transfer matrix method) as a function of...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Institute of Physics Publishing
2013
|
| Online Access: | http://hdl.handle.net/1721.1/76342 https://orcid.org/0000-0002-1112-5912 |
| _version_ | 1811071270585892864 |
|---|---|
| author | Kantor, Yacov Kardar, Mehran |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Kantor, Yacov Kardar, Mehran |
| author_sort | Kantor, Yacov |
| collection | MIT |
| description | We study the thermodynamics properties of a one-dimensional gas of hard elongated particles. The particle centers are restricted to a line, while they can rotate in a two-dimensional space. Correlations between orientations of the objects are studied (by the transfer matrix method) as a function of density and aspect ratio. The behavior in the extreme high-density (jamming) limit is described by a few universality classes depending on the object's shape. In particular, there is a diverging correlation length when the contact point of adjacent objects is far from the line along which their centers move, as for needles and rectangles. |
| first_indexed | 2024-09-23T08:48:33Z |
| format | Article |
| id | mit-1721.1/76342 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:48:33Z |
| publishDate | 2013 |
| publisher | Institute of Physics Publishing |
| record_format | dspace |
| spelling | mit-1721.1/763422022-09-23T14:41:56Z Universality in the jamming limit for elongated hard particles in one dimension Kantor, Yacov Kardar, Mehran Massachusetts Institute of Technology. Department of Physics Kardar, Mehran We study the thermodynamics properties of a one-dimensional gas of hard elongated particles. The particle centers are restricted to a line, while they can rotate in a two-dimensional space. Correlations between orientations of the objects are studied (by the transfer matrix method) as a function of density and aspect ratio. The behavior in the extreme high-density (jamming) limit is described by a few universality classes depending on the object's shape. In particular, there is a diverging correlation length when the contact point of adjacent objects is far from the line along which their centers move, as for needles and rectangles. Israel Science Foundation (Grant No. 99/08) National Science Foundation (U.S.) (Grant No. DMR-08-03315) National Science Foundation (U.S.) (NSF Grant No. PHY05-51164) 2013-01-23T15:42:30Z 2013-01-23T15:42:30Z 2009-10 2009-07 Article http://purl.org/eprint/type/JournalArticle 0295-5075 1286-4854 http://hdl.handle.net/1721.1/76342 Kantor, Yacov, and Mehran Kardar. “Universality in the Jamming Limit for Elongated Hard Particles in One Dimension.” EPL (Europhysics Letters) 87.6 (2009): 60002. Web. https://orcid.org/0000-0002-1112-5912 en_US http://dx.doi.org/10.1209/0295-5075/87/60002 Europhysics Letters Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Institute of Physics Publishing arXiv |
| spellingShingle | Kantor, Yacov Kardar, Mehran Universality in the jamming limit for elongated hard particles in one dimension |
| title | Universality in the jamming limit for elongated hard particles in one dimension |
| title_full | Universality in the jamming limit for elongated hard particles in one dimension |
| title_fullStr | Universality in the jamming limit for elongated hard particles in one dimension |
| title_full_unstemmed | Universality in the jamming limit for elongated hard particles in one dimension |
| title_short | Universality in the jamming limit for elongated hard particles in one dimension |
| title_sort | universality in the jamming limit for elongated hard particles in one dimension |
| url | http://hdl.handle.net/1721.1/76342 https://orcid.org/0000-0002-1112-5912 |
| work_keys_str_mv | AT kantoryacov universalityinthejamminglimitforelongatedhardparticlesinonedimension AT kardarmehran universalityinthejamminglimitforelongatedhardparticlesinonedimension |