Classical Density Functional Theory: Representability and Universal Bounds
We provide upper and lower bounds on the lowest free energy of a classical system at given one-particle density ρ ( x ) . We study both the canonical and grand-canonical cases, assuming the particles interact with a pair potential which decays fast enough at infinity.
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| Veröffentlicht in: | Journal of statistical physics 2023-03, Vol.190 (4), Article 73 |
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| container_issue | 4 |
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| container_title | Journal of statistical physics |
| container_volume | 190 |
| creator | Jex, Michal Lewin, Mathieu Madsen, Peter S. |
| description | We provide upper and lower bounds on the lowest free energy of a classical system at given one-particle density
ρ
(
x
)
. We study both the canonical and grand-canonical cases, assuming the particles interact with a pair potential which decays fast enough at infinity. |
| doi_str_mv | 10.1007/s10955-023-03086-7 |
| format | Article |
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ρ
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x
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ρ
(
x
)
. We study both the canonical and grand-canonical cases, assuming the particles interact with a pair potential which decays fast enough at infinity.</description><subject>Analysis</subject><subject>Density functionals</subject><subject>Mathematical and Computational Physics</subject><subject>Mathematical Physics</subject><subject>Physical Chemistry</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Physics</subject><subject>Specific gravity</subject><subject>Statistical Physics and Dynamical Systems</subject><subject>Theoretical</subject><issn>1572-9613</issn><issn>0022-4715</issn><issn>1572-9613</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><recordid>eNp9kMFKAzEURQdRsFZ_wFW3Lkbzkslk4q5Wa5WCIO06ZDJJmzJNSjIt9O9NHRFXksULl3Peg5tlt4DuASH2EAFxSnOESY4IqsqcnWUDoAznvARy_ud_mV3FuEEI8YrTQfY-aWWMVsl29KxdtN1xNN071VnvUrRYax-Oj6NPvQs6atfJ2rYnRrpmtHT2oENM2JPfuyZeZxdGtlHf_Mxhtpy-LCazfP7x-jYZz3NFKO9yMLhqZNFIpetGASvqElPAVJamxiXCUBlSywIZpijUDZTcEIZNU2MmFeUVGWZ3_d61bMUu2K0MR-GlFbPxXJwyRKoSMwQHSOx9z65kq4V1xndBqvQavbXKO21sysesAOAIKpwE3Asq-BiDNr8XAIlT1aKvWqSqxXfVgiWJ9FJMsFvpIDZ-H1KB8T_rC1XFgUw</recordid><startdate>20230313</startdate><enddate>20230313</enddate><creator>Jex, Michal</creator><creator>Lewin, Mathieu</creator><creator>Madsen, Peter S.</creator><general>Springer US</general><general>Springer</general><general>Springer Verlag</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>1XC</scope><scope>VOOES</scope><orcidid>https://orcid.org/0009-0001-2785-8483</orcidid><orcidid>https://orcid.org/0000-0002-1755-0207</orcidid><orcidid>https://orcid.org/0000-0003-0910-0692</orcidid></search><sort><creationdate>20230313</creationdate><title>Classical Density Functional Theory: Representability and Universal Bounds</title><author>Jex, Michal ; Lewin, Mathieu ; Madsen, Peter S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c359t-1f28da4dacebdc174b625125a6fb260218f3ba40f7c51bd169f372fdb27ac5983</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Analysis</topic><topic>Density functionals</topic><topic>Mathematical and Computational Physics</topic><topic>Mathematical Physics</topic><topic>Physical Chemistry</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Physics</topic><topic>Specific gravity</topic><topic>Statistical Physics and Dynamical Systems</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Jex, Michal</creatorcontrib><creatorcontrib>Lewin, Mathieu</creatorcontrib><creatorcontrib>Madsen, Peter S.</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><collection>Hyper Article en Ligne (HAL)</collection><collection>Hyper Article en Ligne (HAL) (Open Access)</collection><jtitle>Journal of statistical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Jex, Michal</au><au>Lewin, Mathieu</au><au>Madsen, Peter S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Classical Density Functional Theory: Representability and Universal Bounds</atitle><jtitle>Journal of statistical physics</jtitle><stitle>J Stat Phys</stitle><date>2023-03-13</date><risdate>2023</risdate><volume>190</volume><issue>4</issue><artnum>73</artnum><issn>1572-9613</issn><issn>0022-4715</issn><eissn>1572-9613</eissn><abstract>We provide upper and lower bounds on the lowest free energy of a classical system at given one-particle density
ρ
(
x
)
. We study both the canonical and grand-canonical cases, assuming the particles interact with a pair potential which decays fast enough at infinity.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10955-023-03086-7</doi><orcidid>https://orcid.org/0009-0001-2785-8483</orcidid><orcidid>https://orcid.org/0000-0002-1755-0207</orcidid><orcidid>https://orcid.org/0000-0003-0910-0692</orcidid><oa>free_for_read</oa></addata></record> |
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| language | eng |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Analysis Density functionals Mathematical and Computational Physics Mathematical Physics Physical Chemistry Physics Physics and Astronomy Quantum Physics Specific gravity Statistical Physics and Dynamical Systems Theoretical |
| title | Classical Density Functional Theory: Representability and Universal Bounds |
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