Shocks, Rarefaction Waves, and Current Fluctuations for Anharmonic Chains
The nonequilibrium dynamics of anharmonic chains is studied by imposing an initial domain-wall state, in which the two half lattices are prepared in equilibrium with distinct parameters. We analyse the Riemann problem for the corresponding Euler equations and, in specific cases, compare with molecul...
Gespeichert in:
| Veröffentlicht in: | Journal of statistical physics 2017-02, Vol.166 (3-4), p.841-875 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 875 |
|---|---|
| container_issue | 3-4 |
| container_start_page | 841 |
| container_title | Journal of statistical physics |
| container_volume | 166 |
| creator | Mendl, Christian B. Spohn, Herbert |
| description | The nonequilibrium dynamics of anharmonic chains is studied by imposing an initial domain-wall state, in which the two half lattices are prepared in equilibrium with distinct parameters. We analyse the Riemann problem for the corresponding Euler equations and, in specific cases, compare with molecular dynamics. Additionally, the fluctuations of time-integrated currents are investigated. In analogy with the KPZ equation, their typical fluctuations should be of size
t
1
/
3
and have a Tracy–Widom GUE distributed amplitude. The proper extension to anharmonic chains is explained and tested through molecular dynamics. Our results are calibrated against the stochastic LeRoux lattice gas. |
| doi_str_mv | 10.1007/s10955-016-1626-5 |
| format | Article |
| fullrecord | <record><control><sourceid>gale_proqu</sourceid><recordid>TN_cdi_proquest_journals_1880777202</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A551029402</galeid><sourcerecordid>A551029402</sourcerecordid><originalsourceid>FETCH-LOGICAL-c421t-66aeb72d85c3d75bccb5459058d311737deb181b8d4d952e8eade1538bf1abe23</originalsourceid><addsrcrecordid>eNp1kE9LwzAYh4MoOKcfwFvBq5l506ZJj2M4HQiCf_AY0iTdOrdkJq3gtze1HrxIDoFffk_elwehSyAzIITfRCAVY5hAiaGkJWZHaAKMU1yVkB-jCSGU4oIDO0VnMW4JIZWo2AStnjdev8fr7EkF2yjdtd5lb-rTpkg5ky36EKzrsuWu112vhueYNT5kc7dRYe9dq7PFRrUunqOTRu2ivfi9p-h1efuyuMcPj3erxfwB64JCh8tS2ZpTI5jODWe11jUrWEWYMDkAz7mxNQiohSlMxagVVhkLLBd1A6q2NJ-iq_HfQ_AfvY2d3Po-uDRSghCEc07J0JqNrbXaWdm6xndB6XSM3bfaO9u0KZ8zBoRWxQ8AI6CDjzG5kIfQ7lX4kkDkoFiOimVSLAfFkiWGjkxMXbe24c8q_0LfMNJ9nA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1880777202</pqid></control><display><type>article</type><title>Shocks, Rarefaction Waves, and Current Fluctuations for Anharmonic Chains</title><source>SpringerNature Journals</source><creator>Mendl, Christian B. ; Spohn, Herbert</creator><creatorcontrib>Mendl, Christian B. ; Spohn, Herbert</creatorcontrib><description>The nonequilibrium dynamics of anharmonic chains is studied by imposing an initial domain-wall state, in which the two half lattices are prepared in equilibrium with distinct parameters. We analyse the Riemann problem for the corresponding Euler equations and, in specific cases, compare with molecular dynamics. Additionally, the fluctuations of time-integrated currents are investigated. In analogy with the KPZ equation, their typical fluctuations should be of size
t
1
/
3
and have a Tracy–Widom GUE distributed amplitude. The proper extension to anharmonic chains is explained and tested through molecular dynamics. Our results are calibrated against the stochastic LeRoux lattice gas.</description><identifier>ISSN: 0022-4715</identifier><identifier>EISSN: 1572-9613</identifier><identifier>DOI: 10.1007/s10955-016-1626-5</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Anharmonicity ; Cauchy problems ; Domain walls ; Euler-Lagrange equation ; Mathematical and Computational Physics ; Molecular chains ; Molecular dynamics ; Physical Chemistry ; Physics ; Physics and Astronomy ; Quantum Physics ; Rarefaction ; Statistical Physics and Dynamical Systems ; Theoretical</subject><ispartof>Journal of statistical physics, 2017-02, Vol.166 (3-4), p.841-875</ispartof><rights>Springer Science+Business Media New York 2016</rights><rights>COPYRIGHT 2017 Springer</rights><rights>Copyright Springer Science & Business Media 2017</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c421t-66aeb72d85c3d75bccb5459058d311737deb181b8d4d952e8eade1538bf1abe23</citedby><cites>FETCH-LOGICAL-c421t-66aeb72d85c3d75bccb5459058d311737deb181b8d4d952e8eade1538bf1abe23</cites><orcidid>0000-0002-6386-0230</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/s10955-016-1626-5$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10955-016-1626-5$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Mendl, Christian B.</creatorcontrib><creatorcontrib>Spohn, Herbert</creatorcontrib><title>Shocks, Rarefaction Waves, and Current Fluctuations for Anharmonic Chains</title><title>Journal of statistical physics</title><addtitle>J Stat Phys</addtitle><description>The nonequilibrium dynamics of anharmonic chains is studied by imposing an initial domain-wall state, in which the two half lattices are prepared in equilibrium with distinct parameters. We analyse the Riemann problem for the corresponding Euler equations and, in specific cases, compare with molecular dynamics. Additionally, the fluctuations of time-integrated currents are investigated. In analogy with the KPZ equation, their typical fluctuations should be of size
t
1
/
3
and have a Tracy–Widom GUE distributed amplitude. The proper extension to anharmonic chains is explained and tested through molecular dynamics. Our results are calibrated against the stochastic LeRoux lattice gas.</description><subject>Anharmonicity</subject><subject>Cauchy problems</subject><subject>Domain walls</subject><subject>Euler-Lagrange equation</subject><subject>Mathematical and Computational Physics</subject><subject>Molecular chains</subject><subject>Molecular dynamics</subject><subject>Physical Chemistry</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Physics</subject><subject>Rarefaction</subject><subject>Statistical Physics and Dynamical Systems</subject><subject>Theoretical</subject><issn>0022-4715</issn><issn>1572-9613</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNp1kE9LwzAYh4MoOKcfwFvBq5l506ZJj2M4HQiCf_AY0iTdOrdkJq3gtze1HrxIDoFffk_elwehSyAzIITfRCAVY5hAiaGkJWZHaAKMU1yVkB-jCSGU4oIDO0VnMW4JIZWo2AStnjdev8fr7EkF2yjdtd5lb-rTpkg5ky36EKzrsuWu112vhueYNT5kc7dRYe9dq7PFRrUunqOTRu2ivfi9p-h1efuyuMcPj3erxfwB64JCh8tS2ZpTI5jODWe11jUrWEWYMDkAz7mxNQiohSlMxagVVhkLLBd1A6q2NJ-iq_HfQ_AfvY2d3Po-uDRSghCEc07J0JqNrbXaWdm6xndB6XSM3bfaO9u0KZ8zBoRWxQ8AI6CDjzG5kIfQ7lX4kkDkoFiOimVSLAfFkiWGjkxMXbe24c8q_0LfMNJ9nA</recordid><startdate>20170201</startdate><enddate>20170201</enddate><creator>Mendl, Christian B.</creator><creator>Spohn, Herbert</creator><general>Springer US</general><general>Springer</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-6386-0230</orcidid></search><sort><creationdate>20170201</creationdate><title>Shocks, Rarefaction Waves, and Current Fluctuations for Anharmonic Chains</title><author>Mendl, Christian B. ; Spohn, Herbert</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c421t-66aeb72d85c3d75bccb5459058d311737deb181b8d4d952e8eade1538bf1abe23</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Anharmonicity</topic><topic>Cauchy problems</topic><topic>Domain walls</topic><topic>Euler-Lagrange equation</topic><topic>Mathematical and Computational Physics</topic><topic>Molecular chains</topic><topic>Molecular dynamics</topic><topic>Physical Chemistry</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Physics</topic><topic>Rarefaction</topic><topic>Statistical Physics and Dynamical Systems</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Mendl, Christian B.</creatorcontrib><creatorcontrib>Spohn, Herbert</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of statistical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Mendl, Christian B.</au><au>Spohn, Herbert</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Shocks, Rarefaction Waves, and Current Fluctuations for Anharmonic Chains</atitle><jtitle>Journal of statistical physics</jtitle><stitle>J Stat Phys</stitle><date>2017-02-01</date><risdate>2017</risdate><volume>166</volume><issue>3-4</issue><spage>841</spage><epage>875</epage><pages>841-875</pages><issn>0022-4715</issn><eissn>1572-9613</eissn><abstract>The nonequilibrium dynamics of anharmonic chains is studied by imposing an initial domain-wall state, in which the two half lattices are prepared in equilibrium with distinct parameters. We analyse the Riemann problem for the corresponding Euler equations and, in specific cases, compare with molecular dynamics. Additionally, the fluctuations of time-integrated currents are investigated. In analogy with the KPZ equation, their typical fluctuations should be of size
t
1
/
3
and have a Tracy–Widom GUE distributed amplitude. The proper extension to anharmonic chains is explained and tested through molecular dynamics. Our results are calibrated against the stochastic LeRoux lattice gas.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10955-016-1626-5</doi><tpages>35</tpages><orcidid>https://orcid.org/0000-0002-6386-0230</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0022-4715 |
| ispartof | Journal of statistical physics, 2017-02, Vol.166 (3-4), p.841-875 |
| issn | 0022-4715 1572-9613 |
| language | eng |
| recordid | cdi_proquest_journals_1880777202 |
| source | SpringerNature Journals |
| subjects | Anharmonicity Cauchy problems Domain walls Euler-Lagrange equation Mathematical and Computational Physics Molecular chains Molecular dynamics Physical Chemistry Physics Physics and Astronomy Quantum Physics Rarefaction Statistical Physics and Dynamical Systems Theoretical |
| title | Shocks, Rarefaction Waves, and Current Fluctuations for Anharmonic Chains |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-25T02%3A29%3A37IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_proqu&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Shocks,%20Rarefaction%20Waves,%20and%20Current%20Fluctuations%20for%20Anharmonic%20Chains&rft.jtitle=Journal%20of%20statistical%20physics&rft.au=Mendl,%20Christian%20B.&rft.date=2017-02-01&rft.volume=166&rft.issue=3-4&rft.spage=841&rft.epage=875&rft.pages=841-875&rft.issn=0022-4715&rft.eissn=1572-9613&rft_id=info:doi/10.1007/s10955-016-1626-5&rft_dat=%3Cgale_proqu%3EA551029402%3C/gale_proqu%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1880777202&rft_id=info:pmid/&rft_galeid=A551029402&rfr_iscdi=true |