Loading…

μPT statistical ensemble: systems with fluctuating energy, particle number, and volume

Within the theory of statistical ensemble, the so-called μ P T ensemble describes equilibrium systems that exchange energy, particles, and volume with the surrounding. General, model-independent features of volume and particle number statistics are derived. Non-analytic points of the partition funct...

Full description

Saved in:
Bibliographic Details
Published in:Scientific reports 2021-07, Vol.11 (1), Article 15096
Main Author: Marzolino, Ugo
Format: Article
Language:English
Subjects:
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c363t-14229b22e653a64a2e26d297d7e0b618ed30b50fd40b12a08b155b12681506b03
cites cdi_FETCH-LOGICAL-c363t-14229b22e653a64a2e26d297d7e0b618ed30b50fd40b12a08b155b12681506b03
container_end_page
container_issue 1
container_start_page
container_title Scientific reports
container_volume 11
creator Marzolino, Ugo
description Within the theory of statistical ensemble, the so-called μ P T ensemble describes equilibrium systems that exchange energy, particles, and volume with the surrounding. General, model-independent features of volume and particle number statistics are derived. Non-analytic points of the partition function are discussed in connection with divergent fluctuations and ensemble equivalence. Quantum and classical ideal gases, and a model of Bose gas with mean-field interactions are discussed as examples of the above considerations.
doi_str_mv 10.1038/s41598-021-94013-x
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2554496824</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2554496824</sourcerecordid><originalsourceid>FETCH-LOGICAL-c363t-14229b22e653a64a2e26d297d7e0b618ed30b50fd40b12a08b155b12681506b03</originalsourceid><addsrcrecordid>eNp9kMtOwzAQRS0EElXpD7CyxLYBe_xowg5VvKRKsACxtOxkUlIlabETaP-Nb-CbMAQJVsxmZnHuHekQcszZKWciPQuSqyxNGPAkk4yLZLtHRsCkSkAA7P-5D8kkhBWLoyCTPBuRp4_3-wcaOttVoatyW1NsAzauxnMadqHDJtC3qnumZd3nXR-xdhkR9MvdlG6sj5kaads3Dv2U2ragr-u6b_CIHJS2Djj52WPyeHX5ML9JFnfXt_OLRZILLbqES4DMAaBWwmppAUEXkM2KGTKneYqFYE6xspDMcbAsdVypeOmUK6YdE2NyMvRu_Pqlx9CZ1br3bXxpQCkpM52CjBQMVO7XIXgszcZXjfU7w5n5cmgGhyY6NN8OzTaGxBAKEW6X6H-r_0l9AsLFdO4</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2554496824</pqid></control><display><type>article</type><title>μPT statistical ensemble: systems with fluctuating energy, particle number, and volume</title><source>PubMed Central(OpenAccess)</source><source>ProQuest - Publicly Available Content Database</source><source>Free Full-Text Journals in Chemistry</source><source>Springer Nature - nature.com Journals - Fully Open Access</source><creator>Marzolino, Ugo</creator><creatorcontrib>Marzolino, Ugo</creatorcontrib><description>Within the theory of statistical ensemble, the so-called μ P T ensemble describes equilibrium systems that exchange energy, particles, and volume with the surrounding. General, model-independent features of volume and particle number statistics are derived. Non-analytic points of the partition function are discussed in connection with divergent fluctuations and ensemble equivalence. Quantum and classical ideal gases, and a model of Bose gas with mean-field interactions are discussed as examples of the above considerations.</description><identifier>ISSN: 2045-2322</identifier><identifier>EISSN: 2045-2322</identifier><identifier>DOI: 10.1038/s41598-021-94013-x</identifier><language>eng</language><publisher>London: Nature Publishing Group UK</publisher><subject>639/766/530/2804 ; 639/766/530/951 ; Energy ; Entropy ; Humanities and Social Sciences ; multidisciplinary ; Science ; Science (multidisciplinary) ; Statistics</subject><ispartof>Scientific reports, 2021-07, Vol.11 (1), Article 15096</ispartof><rights>The Author(s) 2021</rights><rights>The Author(s) 2021. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c363t-14229b22e653a64a2e26d297d7e0b618ed30b50fd40b12a08b155b12681506b03</citedby><cites>FETCH-LOGICAL-c363t-14229b22e653a64a2e26d297d7e0b618ed30b50fd40b12a08b155b12681506b03</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/2554496824/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2554496824?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,25753,27924,27925,37012,44590,75126</link.rule.ids></links><search><creatorcontrib>Marzolino, Ugo</creatorcontrib><title>μPT statistical ensemble: systems with fluctuating energy, particle number, and volume</title><title>Scientific reports</title><addtitle>Sci Rep</addtitle><description>Within the theory of statistical ensemble, the so-called μ P T ensemble describes equilibrium systems that exchange energy, particles, and volume with the surrounding. General, model-independent features of volume and particle number statistics are derived. Non-analytic points of the partition function are discussed in connection with divergent fluctuations and ensemble equivalence. Quantum and classical ideal gases, and a model of Bose gas with mean-field interactions are discussed as examples of the above considerations.</description><subject>639/766/530/2804</subject><subject>639/766/530/951</subject><subject>Energy</subject><subject>Entropy</subject><subject>Humanities and Social Sciences</subject><subject>multidisciplinary</subject><subject>Science</subject><subject>Science (multidisciplinary)</subject><subject>Statistics</subject><issn>2045-2322</issn><issn>2045-2322</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><recordid>eNp9kMtOwzAQRS0EElXpD7CyxLYBe_xowg5VvKRKsACxtOxkUlIlabETaP-Nb-CbMAQJVsxmZnHuHekQcszZKWciPQuSqyxNGPAkk4yLZLtHRsCkSkAA7P-5D8kkhBWLoyCTPBuRp4_3-wcaOttVoatyW1NsAzauxnMadqHDJtC3qnumZd3nXR-xdhkR9MvdlG6sj5kaads3Dv2U2ragr-u6b_CIHJS2Djj52WPyeHX5ML9JFnfXt_OLRZILLbqES4DMAaBWwmppAUEXkM2KGTKneYqFYE6xspDMcbAsdVypeOmUK6YdE2NyMvRu_Pqlx9CZ1br3bXxpQCkpM52CjBQMVO7XIXgszcZXjfU7w5n5cmgGhyY6NN8OzTaGxBAKEW6X6H-r_0l9AsLFdO4</recordid><startdate>20210723</startdate><enddate>20210723</enddate><creator>Marzolino, Ugo</creator><general>Nature Publishing Group UK</general><general>Nature Publishing Group</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7X7</scope><scope>7XB</scope><scope>88A</scope><scope>88E</scope><scope>88I</scope><scope>8FE</scope><scope>8FH</scope><scope>8FI</scope><scope>8FJ</scope><scope>8FK</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BBNVY</scope><scope>BENPR</scope><scope>BHPHI</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FYUFA</scope><scope>GHDGH</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>K9.</scope><scope>LK8</scope><scope>M0S</scope><scope>M1P</scope><scope>M2P</scope><scope>M7P</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>Q9U</scope></search><sort><creationdate>20210723</creationdate><title>μPT statistical ensemble: systems with fluctuating energy, particle number, and volume</title><author>Marzolino, Ugo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c363t-14229b22e653a64a2e26d297d7e0b618ed30b50fd40b12a08b155b12681506b03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>639/766/530/2804</topic><topic>639/766/530/951</topic><topic>Energy</topic><topic>Entropy</topic><topic>Humanities and Social Sciences</topic><topic>multidisciplinary</topic><topic>Science</topic><topic>Science (multidisciplinary)</topic><topic>Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Marzolino, Ugo</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>ProQuest - Health &amp; Medical Complete保健、医学与药学数据库</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Biology Database (Alumni Edition)</collection><collection>Medical Database (Alumni Edition)</collection><collection>Science Database (Alumni Edition)</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Natural Science Collection</collection><collection>Hospital Premium Collection</collection><collection>Hospital Premium Collection (Alumni Edition)</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>Biological Science Collection</collection><collection>ProQuest Central</collection><collection>ProQuest Natural Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Health Research Premium Collection</collection><collection>Health Research Premium Collection (Alumni)</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Health &amp; Medical Complete (Alumni)</collection><collection>ProQuest Biological Science Collection</collection><collection>Health &amp; Medical Collection (Alumni Edition)</collection><collection>Medical Database</collection><collection>ProQuest Science Journals</collection><collection>ProQuest Biological Science Journals</collection><collection>ProQuest - Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central Basic</collection><jtitle>Scientific reports</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Marzolino, Ugo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>μPT statistical ensemble: systems with fluctuating energy, particle number, and volume</atitle><jtitle>Scientific reports</jtitle><stitle>Sci Rep</stitle><date>2021-07-23</date><risdate>2021</risdate><volume>11</volume><issue>1</issue><artnum>15096</artnum><issn>2045-2322</issn><eissn>2045-2322</eissn><abstract>Within the theory of statistical ensemble, the so-called μ P T ensemble describes equilibrium systems that exchange energy, particles, and volume with the surrounding. General, model-independent features of volume and particle number statistics are derived. Non-analytic points of the partition function are discussed in connection with divergent fluctuations and ensemble equivalence. Quantum and classical ideal gases, and a model of Bose gas with mean-field interactions are discussed as examples of the above considerations.</abstract><cop>London</cop><pub>Nature Publishing Group UK</pub><doi>10.1038/s41598-021-94013-x</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 2045-2322
ispartof Scientific reports, 2021-07, Vol.11 (1), Article 15096
issn 2045-2322
2045-2322
language eng
recordid cdi_proquest_journals_2554496824
source PubMed Central(OpenAccess); ProQuest - Publicly Available Content Database; Free Full-Text Journals in Chemistry; Springer Nature - nature.com Journals - Fully Open Access
subjects 639/766/530/2804
639/766/530/951
Energy
Entropy
Humanities and Social Sciences
multidisciplinary
Science
Science (multidisciplinary)
Statistics
title μPT statistical ensemble: systems with fluctuating energy, particle number, and volume
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-01T06%3A46%3A59IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=%CE%BCPT%20statistical%20ensemble:%20systems%20with%20fluctuating%20energy,%20particle%20number,%20and%20volume&rft.jtitle=Scientific%20reports&rft.au=Marzolino,%20Ugo&rft.date=2021-07-23&rft.volume=11&rft.issue=1&rft.artnum=15096&rft.issn=2045-2322&rft.eissn=2045-2322&rft_id=info:doi/10.1038/s41598-021-94013-x&rft_dat=%3Cproquest_cross%3E2554496824%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c363t-14229b22e653a64a2e26d297d7e0b618ed30b50fd40b12a08b155b12681506b03%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2554496824&rft_id=info:pmid/&rfr_iscdi=true