Ninth and Tenth Order Virial Coefficients for Hard Spheres in D Dimensions
J. Stat. Phys. 122: 15-57 (2006) We evaluate the virial coefficients B_k for k=5. This provides strong evidence that the leading singularity for the virial series lies away from the positive real axis when D>=5. Further analysis provides evidence that negative virial coefficients will be seen for...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | Clisby, N McCoy, B. M |
| description | J. Stat. Phys. 122: 15-57 (2006) We evaluate the virial coefficients B_k for k=5. This provides strong evidence that the leading singularity for the
virial series lies away from the positive real axis when D>=5. Further analysis
provides evidence that negative virial coefficients will be seen for some k>10
for D=4, and there is a distinct possibility that negative virial coefficients
will also eventually occur for D=3. |
| doi_str_mv | 10.48550/arxiv.cond-mat/0503525 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_cond_mat_0503525</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>cond_mat_0503525</sourcerecordid><originalsourceid>FETCH-arxiv_primary_cond_mat_05035253</originalsourceid><addsrcrecordid>eNqNjrEKwjAURbM4iPoNvsWxbbQG3FulOOhgcQ2hSeiDJikvRfTvbaUf4HQv3AP3MLbd8_R4EoJnit74SpvgdeLUkHHBc3EQS3a9oR9aUF5DbaZ2J20InkioOiiCsRYbHJcINhBUijQ8-taQiYAeSijRGR8x-LhmC6u6aDZzrtjucq6LKvl9y57QKfrIyUGODnJ2yP_lvibEQeo</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Ninth and Tenth Order Virial Coefficients for Hard Spheres in D Dimensions</title><source>arXiv.org</source><creator>Clisby, N ; McCoy, B. M</creator><creatorcontrib>Clisby, N ; McCoy, B. M</creatorcontrib><description>J. Stat. Phys. 122: 15-57 (2006) We evaluate the virial coefficients B_k for k<=10 for hard spheres in
dimensions D=2,...,8. Virial coefficients with k even are found to be negative
when D>=5. This provides strong evidence that the leading singularity for the
virial series lies away from the positive real axis when D>=5. Further analysis
provides evidence that negative virial coefficients will be seen for some k>10
for D=4, and there is a distinct possibility that negative virial coefficients
will also eventually occur for D=3.</description><identifier>DOI: 10.48550/arxiv.cond-mat/0503525</identifier><language>eng</language><subject>Physics - Statistical Mechanics</subject><creationdate>2005-03</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/cond-mat/0503525$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.cond-mat/0503525$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1007/s10955-005-8080-0$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Clisby, N</creatorcontrib><creatorcontrib>McCoy, B. M</creatorcontrib><title>Ninth and Tenth Order Virial Coefficients for Hard Spheres in D Dimensions</title><description>J. Stat. Phys. 122: 15-57 (2006) We evaluate the virial coefficients B_k for k<=10 for hard spheres in
dimensions D=2,...,8. Virial coefficients with k even are found to be negative
when D>=5. This provides strong evidence that the leading singularity for the
virial series lies away from the positive real axis when D>=5. Further analysis
provides evidence that negative virial coefficients will be seen for some k>10
for D=4, and there is a distinct possibility that negative virial coefficients
will also eventually occur for D=3.</description><subject>Physics - Statistical Mechanics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqNjrEKwjAURbM4iPoNvsWxbbQG3FulOOhgcQ2hSeiDJikvRfTvbaUf4HQv3AP3MLbd8_R4EoJnit74SpvgdeLUkHHBc3EQS3a9oR9aUF5DbaZ2J20InkioOiiCsRYbHJcINhBUijQ8-taQiYAeSijRGR8x-LhmC6u6aDZzrtjucq6LKvl9y57QKfrIyUGODnJ2yP_lvibEQeo</recordid><startdate>20050321</startdate><enddate>20050321</enddate><creator>Clisby, N</creator><creator>McCoy, B. M</creator><scope>GOX</scope></search><sort><creationdate>20050321</creationdate><title>Ninth and Tenth Order Virial Coefficients for Hard Spheres in D Dimensions</title><author>Clisby, N ; McCoy, B. M</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_cond_mat_05035253</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><topic>Physics - Statistical Mechanics</topic><toplevel>online_resources</toplevel><creatorcontrib>Clisby, N</creatorcontrib><creatorcontrib>McCoy, B. M</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Clisby, N</au><au>McCoy, B. M</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Ninth and Tenth Order Virial Coefficients for Hard Spheres in D Dimensions</atitle><date>2005-03-21</date><risdate>2005</risdate><abstract>J. Stat. Phys. 122: 15-57 (2006) We evaluate the virial coefficients B_k for k<=10 for hard spheres in
dimensions D=2,...,8. Virial coefficients with k even are found to be negative
when D>=5. This provides strong evidence that the leading singularity for the
virial series lies away from the positive real axis when D>=5. Further analysis
provides evidence that negative virial coefficients will be seen for some k>10
for D=4, and there is a distinct possibility that negative virial coefficients
will also eventually occur for D=3.</abstract><doi>10.48550/arxiv.cond-mat/0503525</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.cond-mat/0503525 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_cond_mat_0503525 |
| source | arXiv.org |
| subjects | Physics - Statistical Mechanics |
| title | Ninth and Tenth Order Virial Coefficients for Hard Spheres in D Dimensions |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-13T12%3A43%3A55IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Ninth%20and%20Tenth%20Order%20Virial%20Coefficients%20for%20Hard%20Spheres%20in%20D%20Dimensions&rft.au=Clisby,%20N&rft.date=2005-03-21&rft_id=info:doi/10.48550/arxiv.cond-mat/0503525&rft_dat=%3Carxiv_GOX%3Econd_mat_0503525%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |