Work fluctuations for a confined Brownian particle: the role of initial conditions
We study the large fluctuations of the work injected by the random force into a Brownian particle under the action of a confining harmonic potential. In particular, we compute analytically the rate function for generic uncorrelated initial conditions, showing that, depending on the initial spread, i...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2024-12 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | Carollo, Giovanni Battista Semeraro, Massimiliano Gonnella, Giuseppe Zamparo, Marco |
| description | We study the large fluctuations of the work injected by the random force into a Brownian particle under the action of a confining harmonic potential. In particular, we compute analytically the rate function for generic uncorrelated initial conditions, showing that, depending on the initial spread, it can exhibit no, one, or two singularities associated to the onset of linear tails. A dependence on the potential strength is observed for large initial spreads (entailing two singularities), which is lost for stationary initial conditions (giving one singularity) and concentrated initial values (no singularity). We discuss the mechanism responsible for the singularities of the rate function, identifying it as a big jump in the initial values. Analytical results are corroborated by numerical simulations. |
| doi_str_mv | 10.48550/arxiv.2412.07707 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_2412_07707</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>3143057284</sourcerecordid><originalsourceid>FETCH-LOGICAL-a524-f1dff4b2031a955c983592d8623c8e39bbd6739dc63daf9f0d44090fbbde4b7a3</originalsourceid><addsrcrecordid>eNotj11LwzAYhYMgOOZ-gFcGvG5N8yZN450OncJAkIGXJW0SzKxJTVM__r1d59WBw8PhPAhdFCRnFefkWsUf95VTVtCcCEHECVpQgCKrGKVnaDUMe0IILQXlHBbo5TXEd2y7sU2jSi74AdsQscJt8NZ5o_FdDN_eKY97FZNrO3OD05vBMXQGB4udd8mp7sBrNw-co1OrusGs_nOJdg_3u_Vjtn3ePK1vt5nilGW20NayhhIolOS8lRVwSXVVUmgrA7JpdClA6rYEray0RDNGJLFTb1gjFCzR5XF2Fq776D5U_K0P4vUsPhFXR6KP4XM0Q6r3YYx--lRDwYBwQSsGf5TuXBs</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>3143057284</pqid></control><display><type>article</type><title>Work fluctuations for a confined Brownian particle: the role of initial conditions</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Carollo, Giovanni Battista ; Semeraro, Massimiliano ; Gonnella, Giuseppe ; Zamparo, Marco</creator><creatorcontrib>Carollo, Giovanni Battista ; Semeraro, Massimiliano ; Gonnella, Giuseppe ; Zamparo, Marco</creatorcontrib><description>We study the large fluctuations of the work injected by the random force into a Brownian particle under the action of a confining harmonic potential. In particular, we compute analytically the rate function for generic uncorrelated initial conditions, showing that, depending on the initial spread, it can exhibit no, one, or two singularities associated to the onset of linear tails. A dependence on the potential strength is observed for large initial spreads (entailing two singularities), which is lost for stationary initial conditions (giving one singularity) and concentrated initial values (no singularity). We discuss the mechanism responsible for the singularities of the rate function, identifying it as a big jump in the initial values. Analytical results are corroborated by numerical simulations.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.2412.07707</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Brownian motion ; Initial conditions ; Physics - Statistical Mechanics ; Singularities</subject><ispartof>arXiv.org, 2024-12</ispartof><rights>2024. 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><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,777,781,882,27906</link.rule.ids><backlink>$$Uhttps://doi.org/10.1088/1751-8121/acfc09$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.2412.07707$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Carollo, Giovanni Battista</creatorcontrib><creatorcontrib>Semeraro, Massimiliano</creatorcontrib><creatorcontrib>Gonnella, Giuseppe</creatorcontrib><creatorcontrib>Zamparo, Marco</creatorcontrib><title>Work fluctuations for a confined Brownian particle: the role of initial conditions</title><title>arXiv.org</title><description>We study the large fluctuations of the work injected by the random force into a Brownian particle under the action of a confining harmonic potential. In particular, we compute analytically the rate function for generic uncorrelated initial conditions, showing that, depending on the initial spread, it can exhibit no, one, or two singularities associated to the onset of linear tails. A dependence on the potential strength is observed for large initial spreads (entailing two singularities), which is lost for stationary initial conditions (giving one singularity) and concentrated initial values (no singularity). We discuss the mechanism responsible for the singularities of the rate function, identifying it as a big jump in the initial values. Analytical results are corroborated by numerical simulations.</description><subject>Brownian motion</subject><subject>Initial conditions</subject><subject>Physics - Statistical Mechanics</subject><subject>Singularities</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj11LwzAYhYMgOOZ-gFcGvG5N8yZN450OncJAkIGXJW0SzKxJTVM__r1d59WBw8PhPAhdFCRnFefkWsUf95VTVtCcCEHECVpQgCKrGKVnaDUMe0IILQXlHBbo5TXEd2y7sU2jSi74AdsQscJt8NZ5o_FdDN_eKY97FZNrO3OD05vBMXQGB4udd8mp7sBrNw-co1OrusGs_nOJdg_3u_Vjtn3ePK1vt5nilGW20NayhhIolOS8lRVwSXVVUmgrA7JpdClA6rYEray0RDNGJLFTb1gjFCzR5XF2Fq776D5U_K0P4vUsPhFXR6KP4XM0Q6r3YYx--lRDwYBwQSsGf5TuXBs</recordid><startdate>20241210</startdate><enddate>20241210</enddate><creator>Carollo, Giovanni Battista</creator><creator>Semeraro, Massimiliano</creator><creator>Gonnella, Giuseppe</creator><creator>Zamparo, Marco</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20241210</creationdate><title>Work fluctuations for a confined Brownian particle: the role of initial conditions</title><author>Carollo, Giovanni Battista ; Semeraro, Massimiliano ; Gonnella, Giuseppe ; Zamparo, Marco</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a524-f1dff4b2031a955c983592d8623c8e39bbd6739dc63daf9f0d44090fbbde4b7a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Brownian motion</topic><topic>Initial conditions</topic><topic>Physics - Statistical Mechanics</topic><topic>Singularities</topic><toplevel>online_resources</toplevel><creatorcontrib>Carollo, Giovanni Battista</creatorcontrib><creatorcontrib>Semeraro, Massimiliano</creatorcontrib><creatorcontrib>Gonnella, Giuseppe</creatorcontrib><creatorcontrib>Zamparo, Marco</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>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 China</collection><collection>Engineering Collection</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Carollo, Giovanni Battista</au><au>Semeraro, Massimiliano</au><au>Gonnella, Giuseppe</au><au>Zamparo, Marco</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Work fluctuations for a confined Brownian particle: the role of initial conditions</atitle><jtitle>arXiv.org</jtitle><date>2024-12-10</date><risdate>2024</risdate><eissn>2331-8422</eissn><abstract>We study the large fluctuations of the work injected by the random force into a Brownian particle under the action of a confining harmonic potential. In particular, we compute analytically the rate function for generic uncorrelated initial conditions, showing that, depending on the initial spread, it can exhibit no, one, or two singularities associated to the onset of linear tails. A dependence on the potential strength is observed for large initial spreads (entailing two singularities), which is lost for stationary initial conditions (giving one singularity) and concentrated initial values (no singularity). We discuss the mechanism responsible for the singularities of the rate function, identifying it as a big jump in the initial values. Analytical results are corroborated by numerical simulations.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.2412.07707</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2024-12 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_2412_07707 |
| source | arXiv.org; Free E- Journals |
| subjects | Brownian motion Initial conditions Physics - Statistical Mechanics Singularities |
| title | Work fluctuations for a confined Brownian particle: the role of initial conditions |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-21T08%3A56%3A02IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Work%20fluctuations%20for%20a%20confined%20Brownian%20particle:%20the%20role%20of%20initial%20conditions&rft.jtitle=arXiv.org&rft.au=Carollo,%20Giovanni%20Battista&rft.date=2024-12-10&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.2412.07707&rft_dat=%3Cproquest_arxiv%3E3143057284%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=3143057284&rft_id=info:pmid/&rfr_iscdi=true |