Full Counting Statistics of Topological Defects After Crossing a Phase Transition
We consider the number distribution of topological defects resulting from the finite-time crossing of a continuous phase transition and identify signatures of universality beyond the mean value, predicted by the Kibble-Zurek mechanism. Statistics of defects follows a binomial distribution with \(\ma...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2020-06 |
|---|---|
| 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 | Gómez-Ruiz, Fernando J Mayo, Jack J Adolfo del Campo |
| description | We consider the number distribution of topological defects resulting from the finite-time crossing of a continuous phase transition and identify signatures of universality beyond the mean value, predicted by the Kibble-Zurek mechanism. Statistics of defects follows a binomial distribution with \(\mathcal{N}\) Bernouilli trials associated with the probability of forming a topological defect at the locations where multiple domains merge. All cumulants of the distribution are predicted to exhibit a common universal power-law scaling with the quench time in which the transition is crossed. Knowledge of the distribution is used to discuss the onset of adiabatic dynamics and bound rare events associated with large deviations. |
| doi_str_mv | 10.48550/arxiv.1912.04679 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_1912_04679</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2324504174</sourcerecordid><originalsourceid>FETCH-LOGICAL-a524-b63f2f2edccb18f4198297969d6231ad0ab5717d8816707da57a944681ee72133</originalsourceid><addsrcrecordid>eNotj0tLAzEYRYMgWGp_gCsDrqcmX56zLKO1QkHF2Q_pTFJTxklNMqL_3j5c3c25l3sQuqFkzrUQ5N7EH_89pyWFOeFSlRdoAozRQnOAKzRLaUcIAalACDZBb8ux73EVxiH7YYvfs8k-Zd8mHByuwz70Yetb0-MH62ybE164bCOuYkjpWDD49cMki-tohuSzD8M1unSmT3b2n1NULx_ralWsX56eq8W6MAJ4sZHMgQPbte2GasdpqaFUpSw7CYyajpiNUFR1WlOpiOqMUKbkXGpqrQLK2BTdnmdPvs0--k8Tf5ujd3PyPhB3Z2Ifw9doU252YYzD4VMDDLggnCrO_gB_ZVoe</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2324504174</pqid></control><display><type>article</type><title>Full Counting Statistics of Topological Defects After Crossing a Phase Transition</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Gómez-Ruiz, Fernando J ; Mayo, Jack J ; Adolfo del Campo</creator><creatorcontrib>Gómez-Ruiz, Fernando J ; Mayo, Jack J ; Adolfo del Campo</creatorcontrib><description>We consider the number distribution of topological defects resulting from the finite-time crossing of a continuous phase transition and identify signatures of universality beyond the mean value, predicted by the Kibble-Zurek mechanism. Statistics of defects follows a binomial distribution with \(\mathcal{N}\) Bernouilli trials associated with the probability of forming a topological defect at the locations where multiple domains merge. All cumulants of the distribution are predicted to exhibit a common universal power-law scaling with the quench time in which the transition is crossed. Knowledge of the distribution is used to discuss the onset of adiabatic dynamics and bound rare events associated with large deviations.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1912.04679</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Binomial distribution ; Defects ; Domains ; Phase transitions ; Physics - High Energy Physics - Theory ; Physics - Quantum Gases ; Physics - Quantum Physics ; Physics - Statistical Mechanics ; Topology</subject><ispartof>arXiv.org, 2020-06</ispartof><rights>2020. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,780,881,27904</link.rule.ids><backlink>$$Uhttps://doi.org/10.1103/PhysRevLett.124.240602$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.1912.04679$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Gómez-Ruiz, Fernando J</creatorcontrib><creatorcontrib>Mayo, Jack J</creatorcontrib><creatorcontrib>Adolfo del Campo</creatorcontrib><title>Full Counting Statistics of Topological Defects After Crossing a Phase Transition</title><title>arXiv.org</title><description>We consider the number distribution of topological defects resulting from the finite-time crossing of a continuous phase transition and identify signatures of universality beyond the mean value, predicted by the Kibble-Zurek mechanism. Statistics of defects follows a binomial distribution with \(\mathcal{N}\) Bernouilli trials associated with the probability of forming a topological defect at the locations where multiple domains merge. All cumulants of the distribution are predicted to exhibit a common universal power-law scaling with the quench time in which the transition is crossed. Knowledge of the distribution is used to discuss the onset of adiabatic dynamics and bound rare events associated with large deviations.</description><subject>Binomial distribution</subject><subject>Defects</subject><subject>Domains</subject><subject>Phase transitions</subject><subject>Physics - High Energy Physics - Theory</subject><subject>Physics - Quantum Gases</subject><subject>Physics - Quantum Physics</subject><subject>Physics - Statistical Mechanics</subject><subject>Topology</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</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>eNotj0tLAzEYRYMgWGp_gCsDrqcmX56zLKO1QkHF2Q_pTFJTxklNMqL_3j5c3c25l3sQuqFkzrUQ5N7EH_89pyWFOeFSlRdoAozRQnOAKzRLaUcIAalACDZBb8ux73EVxiH7YYvfs8k-Zd8mHByuwz70Yetb0-MH62ybE164bCOuYkjpWDD49cMki-tohuSzD8M1unSmT3b2n1NULx_ralWsX56eq8W6MAJ4sZHMgQPbte2GasdpqaFUpSw7CYyajpiNUFR1WlOpiOqMUKbkXGpqrQLK2BTdnmdPvs0--k8Tf5ujd3PyPhB3Z2Ifw9doU252YYzD4VMDDLggnCrO_gB_ZVoe</recordid><startdate>20200623</startdate><enddate>20200623</enddate><creator>Gómez-Ruiz, Fernando J</creator><creator>Mayo, Jack J</creator><creator>Adolfo del Campo</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>20200623</creationdate><title>Full Counting Statistics of Topological Defects After Crossing a Phase Transition</title><author>Gómez-Ruiz, Fernando J ; Mayo, Jack J ; Adolfo del Campo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a524-b63f2f2edccb18f4198297969d6231ad0ab5717d8816707da57a944681ee72133</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Binomial distribution</topic><topic>Defects</topic><topic>Domains</topic><topic>Phase transitions</topic><topic>Physics - High Energy Physics - Theory</topic><topic>Physics - Quantum Gases</topic><topic>Physics - Quantum Physics</topic><topic>Physics - Statistical Mechanics</topic><topic>Topology</topic><toplevel>online_resources</toplevel><creatorcontrib>Gómez-Ruiz, Fernando J</creatorcontrib><creatorcontrib>Mayo, Jack J</creatorcontrib><creatorcontrib>Adolfo del Campo</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>Gómez-Ruiz, Fernando J</au><au>Mayo, Jack J</au><au>Adolfo del Campo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Full Counting Statistics of Topological Defects After Crossing a Phase Transition</atitle><jtitle>arXiv.org</jtitle><date>2020-06-23</date><risdate>2020</risdate><eissn>2331-8422</eissn><abstract>We consider the number distribution of topological defects resulting from the finite-time crossing of a continuous phase transition and identify signatures of universality beyond the mean value, predicted by the Kibble-Zurek mechanism. Statistics of defects follows a binomial distribution with \(\mathcal{N}\) Bernouilli trials associated with the probability of forming a topological defect at the locations where multiple domains merge. All cumulants of the distribution are predicted to exhibit a common universal power-law scaling with the quench time in which the transition is crossed. Knowledge of the distribution is used to discuss the onset of adiabatic dynamics and bound rare events associated with large deviations.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1912.04679</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2020-06 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_1912_04679 |
| source | arXiv.org; Free E- Journals |
| subjects | Binomial distribution Defects Domains Phase transitions Physics - High Energy Physics - Theory Physics - Quantum Gases Physics - Quantum Physics Physics - Statistical Mechanics Topology |
| title | Full Counting Statistics of Topological Defects After Crossing a Phase Transition |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-26T14%3A05%3A59IST&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=Full%20Counting%20Statistics%20of%20Topological%20Defects%20After%20Crossing%20a%20Phase%20Transition&rft.jtitle=arXiv.org&rft.au=G%C3%B3mez-Ruiz,%20Fernando%20J&rft.date=2020-06-23&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.1912.04679&rft_dat=%3Cproquest_arxiv%3E2324504174%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=2324504174&rft_id=info:pmid/&rfr_iscdi=true |