Diameters of Symmetric and Lifted Simple Exclusion Models
We determine diameters of Markov chains describing one-dimensional N -particle models with an exclusion interaction, namely the symmetric simple exclusion process ( Ssep ) and one of its non-reversible liftings, the lifted totally asymmetric simple exclusion process ( Tasep ). The diameters provide...
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| Veröffentlicht in: | Journal of statistical physics 2024-08, Vol.191 (8), Article 103 |
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| container_title | Journal of statistical physics |
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| creator | Zhang, Xusheng Krauth, Werner |
| description | We determine diameters of Markov chains describing one-dimensional
N
-particle models with an exclusion interaction, namely the symmetric simple exclusion process (
Ssep
) and one of its non-reversible liftings, the lifted totally asymmetric simple exclusion process (
Tasep
). The diameters provide lower bounds for the mixing times, and we discuss the implications of our findings for the analysis of these models. |
| doi_str_mv | 10.1007/s10955-024-03312-w |
| format | Article |
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N
-particle models with an exclusion interaction, namely the symmetric simple exclusion process (
Ssep
) and one of its non-reversible liftings, the lifted totally asymmetric simple exclusion process (
Tasep
). The diameters provide lower bounds for the mixing times, and we discuss the implications of our findings for the analysis of these models.</description><identifier>ISSN: 1572-9613</identifier><identifier>ISSN: 0022-4715</identifier><identifier>EISSN: 1572-9613</identifier><identifier>DOI: 10.1007/s10955-024-03312-w</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Condensed Matter ; Diameters ; Lower bounds ; Markov chains ; Mathematical and Computational Physics ; Mathematics ; Physical Chemistry ; Physics ; Physics and Astronomy ; Probability ; Quantum Physics ; Statistical Mechanics ; Statistical Physics and Dynamical Systems ; Theoretical</subject><ispartof>Journal of statistical physics, 2024-08, Vol.191 (8), Article 103</ispartof><rights>The Author(s) 2024</rights><rights>The Author(s) 2024. This work is published under http://creativecommons.org/licenses/by-nc-nd/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>Attribution</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c278t-e87bd392adfab522f8345a9c08bba766cf6a30db830090a327ed4ed82e41af223</cites><orcidid>0000-0001-8751-7958 ; 0000-0003-0183-6726</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10955-024-03312-w$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10955-024-03312-w$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>230,314,776,780,881,27901,27902,41464,42533,51294</link.rule.ids><backlink>$$Uhttps://hal.science/hal-04773930$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Zhang, Xusheng</creatorcontrib><creatorcontrib>Krauth, Werner</creatorcontrib><title>Diameters of Symmetric and Lifted Simple Exclusion Models</title><title>Journal of statistical physics</title><addtitle>J Stat Phys</addtitle><description>We determine diameters of Markov chains describing one-dimensional
N
-particle models with an exclusion interaction, namely the symmetric simple exclusion process (
Ssep
) and one of its non-reversible liftings, the lifted totally asymmetric simple exclusion process (
Tasep
). The diameters provide lower bounds for the mixing times, and we discuss the implications of our findings for the analysis of these models.</description><subject>Condensed Matter</subject><subject>Diameters</subject><subject>Lower bounds</subject><subject>Markov chains</subject><subject>Mathematical and Computational Physics</subject><subject>Mathematics</subject><subject>Physical Chemistry</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Probability</subject><subject>Quantum Physics</subject><subject>Statistical Mechanics</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>2024</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><recordid>eNp9kDtPwzAUhS0EEqXwB5giMTEEru0ktseqFIoUxFCYLSe2IVVe2Cml_x6XIGBiuLoPfefo6iB0juEKA7Brj0GkaQwkiYFSTOLtAZrglJFYZJge_pmP0Yn3awAQXKQTJG4q1ZjBOB91NlrtmrC4qoxUq6O8soPR0apq-tpEi4-y3viqa6OHTpvan6Ijq2pvzr77FD3fLp7myzh_vLufz_K4JIwPseGs0FQQpa0qUkIsp0mqRAm8KBTLstJmioIuOA0vgaKEGZ0YzYlJsLKE0Cm6HH1fVS17VzXK7WSnKrmc5XJ_g4QxKii848BejGzvureN8YNcdxvXhvckBUF4wkMFioxU6TrvnbE_thjkPk45xilDnPIrTrkNIjqKfIDbF-N-rf9RfQJK_nbq</recordid><startdate>20240813</startdate><enddate>20240813</enddate><creator>Zhang, Xusheng</creator><creator>Krauth, Werner</creator><general>Springer US</general><general>Springer Nature B.V</general><general>Springer Verlag</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>1XC</scope><scope>VOOES</scope><orcidid>https://orcid.org/0000-0001-8751-7958</orcidid><orcidid>https://orcid.org/0000-0003-0183-6726</orcidid></search><sort><creationdate>20240813</creationdate><title>Diameters of Symmetric and Lifted Simple Exclusion Models</title><author>Zhang, Xusheng ; Krauth, Werner</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c278t-e87bd392adfab522f8345a9c08bba766cf6a30db830090a327ed4ed82e41af223</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Condensed Matter</topic><topic>Diameters</topic><topic>Lower bounds</topic><topic>Markov chains</topic><topic>Mathematical and Computational Physics</topic><topic>Mathematics</topic><topic>Physical Chemistry</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Probability</topic><topic>Quantum Physics</topic><topic>Statistical Mechanics</topic><topic>Statistical Physics and Dynamical Systems</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhang, Xusheng</creatorcontrib><creatorcontrib>Krauth, Werner</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>Zhang, Xusheng</au><au>Krauth, Werner</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Diameters of Symmetric and Lifted Simple Exclusion Models</atitle><jtitle>Journal of statistical physics</jtitle><stitle>J Stat Phys</stitle><date>2024-08-13</date><risdate>2024</risdate><volume>191</volume><issue>8</issue><artnum>103</artnum><issn>1572-9613</issn><issn>0022-4715</issn><eissn>1572-9613</eissn><abstract>We determine diameters of Markov chains describing one-dimensional
N
-particle models with an exclusion interaction, namely the symmetric simple exclusion process (
Ssep
) and one of its non-reversible liftings, the lifted totally asymmetric simple exclusion process (
Tasep
). The diameters provide lower bounds for the mixing times, and we discuss the implications of our findings for the analysis of these models.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10955-024-03312-w</doi><orcidid>https://orcid.org/0000-0001-8751-7958</orcidid><orcidid>https://orcid.org/0000-0003-0183-6726</orcidid><oa>free_for_read</oa></addata></record> |
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| source | SpringerNature Complete Journals |
| subjects | Condensed Matter Diameters Lower bounds Markov chains Mathematical and Computational Physics Mathematics Physical Chemistry Physics Physics and Astronomy Probability Quantum Physics Statistical Mechanics Statistical Physics and Dynamical Systems Theoretical |
| title | Diameters of Symmetric and Lifted Simple Exclusion Models |
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