One-dimensional gas of hard needles
We study a one-dimensional gas of needlelike objects as a testing ground for a formalism that relates the thermodynamic properties of “hard” potentials to the probabilities for contacts between particles. Specifically, we use Monte Carlo methods to calculate the pressure and elasticity coefficient o...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2010
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| Online Access: | http://hdl.handle.net/1721.1/51765 https://orcid.org/0000-0002-1112-5912 |
| _version_ | 1826206387588300800 |
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| 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 a one-dimensional gas of needlelike objects as a testing ground for a formalism that relates the thermodynamic properties of “hard” potentials to the probabilities for contacts between particles. Specifically, we use Monte Carlo methods to calculate the pressure and elasticity coefficient of the hard-needle gas as a function of its density. The results are then compared to the same quantities obtained analytically from a transfer-matrix approach. |
| first_indexed | 2024-09-23T13:29:03Z |
| format | Article |
| id | mit-1721.1/51765 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:29:03Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/517652022-09-28T14:32:09Z One-dimensional gas of hard needles Kantor, Yacov Kardar, Mehran Massachusetts Institute of Technology. Department of Physics Kardar, Mehran Kardar, Mehran We study a one-dimensional gas of needlelike objects as a testing ground for a formalism that relates the thermodynamic properties of “hard” potentials to the probabilities for contacts between particles. Specifically, we use Monte Carlo methods to calculate the pressure and elasticity coefficient of the hard-needle gas as a function of its density. The results are then compared to the same quantities obtained analytically from a transfer-matrix approach. 2010-02-17T15:42:08Z 2010-02-17T15:42:08Z 2009-04 2009-01 Article http://purl.org/eprint/type/JournalArticle 1550-2376 1539-3755 http://hdl.handle.net/1721.1/51765 Kantor, Yacov , and Mehran Kardar. “One-dimensional gas of hard needles.” Physical Review E 79.4 (2009): 041109. © 2009 The American Physical Society. https://orcid.org/0000-0002-1112-5912 en_US http://dx.doi.org/10.1103/PhysRevE.79.041109 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 | Kantor, Yacov Kardar, Mehran One-dimensional gas of hard needles |
| title | One-dimensional gas of hard needles |
| title_full | One-dimensional gas of hard needles |
| title_fullStr | One-dimensional gas of hard needles |
| title_full_unstemmed | One-dimensional gas of hard needles |
| title_short | One-dimensional gas of hard needles |
| title_sort | one dimensional gas of hard needles |
| url | http://hdl.handle.net/1721.1/51765 https://orcid.org/0000-0002-1112-5912 |
| work_keys_str_mv | AT kantoryacov onedimensionalgasofhardneedles AT kardarmehran onedimensionalgasofhardneedles |