Study of the Depolarized Light Scattering Spectra of Supercooled Liquids by a Simple Mode-Coupling Model
By using simple mode coupling equations, we investigate the depolarized light scattering spectra of two so-called "fragile" glassforming liquids, salol (phenylsalicylate) and CKN (Ca_{0.4}K_{0.6}(NO_3)_{1.4}), measured by Cummins and coworkers. Nonlinear integrodifferential equations for t...
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description | By using simple mode coupling equations, we investigate the depolarized light scattering spectra of two so-called "fragile" glassforming liquids, salol (phenylsalicylate) and CKN (Ca_{0.4}K_{0.6}(NO_3)_{1.4}), measured by Cummins and coworkers. Nonlinear integrodifferential equations for the time evolution of the density-fluctuations autocorrelation functions are the basic input of the mode coupling theory. Restricting ourselves to a small set of such equations, we fit the numerical solution to the experimental spectra. It leads to a good agreement between model and experiment, which allows us to determine how a real system explores the parameter space of the model, but it also leads to unrealistic effective vertices in a temperature range where the theory makes critical asymptotic predictions. We finally discuss the relevance and the range of validity of these universal asymptotic predictions when applied to experimental data on supercooled liquids. |
doi_str_mv | 10.48550/arxiv.9707085 |
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Nonlinear integrodifferential equations for the time evolution of the density-fluctuations autocorrelation functions are the basic input of the mode coupling theory. Restricting ourselves to a small set of such equations, we fit the numerical solution to the experimental spectra. It leads to a good agreement between model and experiment, which allows us to determine how a real system explores the parameter space of the model, but it also leads to unrealistic effective vertices in a temperature range where the theory makes critical asymptotic predictions. We finally discuss the relevance and the range of validity of these universal asymptotic predictions when applied to experimental data on supercooled liquids.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.9707085</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Apexes ; Asymptotic properties ; Autocorrelation functions ; Coupling ; Depolarization ; Light scattering ; Liquids ; Mathematical models ; Nonlinear equations ; Spectra ; Variations</subject><ispartof>arXiv.org, 1997-07</ispartof><rights>1997. This work is published under https://arxiv.org/licenses/assumed-1991-2003/license.html (the “License”). 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Nonlinear integrodifferential equations for the time evolution of the density-fluctuations autocorrelation functions are the basic input of the mode coupling theory. Restricting ourselves to a small set of such equations, we fit the numerical solution to the experimental spectra. It leads to a good agreement between model and experiment, which allows us to determine how a real system explores the parameter space of the model, but it also leads to unrealistic effective vertices in a temperature range where the theory makes critical asymptotic predictions. We finally discuss the relevance and the range of validity of these universal asymptotic predictions when applied to experimental data on supercooled liquids.</description><subject>Apexes</subject><subject>Asymptotic properties</subject><subject>Autocorrelation functions</subject><subject>Coupling</subject><subject>Depolarization</subject><subject>Light scattering</subject><subject>Liquids</subject><subject>Mathematical models</subject><subject>Nonlinear equations</subject><subject>Spectra</subject><subject>Variations</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1997</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNqNy71uAjEQBGArElJQoE29UuqDxYfxUROiFFCZHpm7hTNysPEPCnn6cIgHoBqN5hvG3ic4mlZC4FiHX3MZzSVKrMQL6_OynBTVlPNXNozxiIh8JrkQZZ-1KuXmCm4PqSX4JO-sDuaPGliZQ5tA1TolCuZ0AOWpTkF3VmVPoXbO3t05mybC7goalPnxlmDtGioWLnvbHbtmB6y31zbS8JFv7ONruVl8Fz64c6aYtkeXw-k2bTnKSvI5znj5nPoHTUtM6A</recordid><startdate>19970709</startdate><enddate>19970709</enddate><creator>Krakoviack, V</creator><creator>Alba-Simionesco, C</creator><creator>Krauzman, M</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></search><sort><creationdate>19970709</creationdate><title>Study of the Depolarized Light Scattering Spectra of Supercooled Liquids by a Simple Mode-Coupling Model</title><author>Krakoviack, V ; Alba-Simionesco, C ; Krauzman, M</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_20787290623</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1997</creationdate><topic>Apexes</topic><topic>Asymptotic properties</topic><topic>Autocorrelation functions</topic><topic>Coupling</topic><topic>Depolarization</topic><topic>Light scattering</topic><topic>Liquids</topic><topic>Mathematical models</topic><topic>Nonlinear equations</topic><topic>Spectra</topic><topic>Variations</topic><toplevel>online_resources</toplevel><creatorcontrib>Krakoviack, V</creatorcontrib><creatorcontrib>Alba-Simionesco, C</creatorcontrib><creatorcontrib>Krauzman, M</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></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Krakoviack, V</au><au>Alba-Simionesco, C</au><au>Krauzman, M</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>Study of the Depolarized Light Scattering Spectra of Supercooled Liquids by a Simple Mode-Coupling Model</atitle><jtitle>arXiv.org</jtitle><date>1997-07-09</date><risdate>1997</risdate><eissn>2331-8422</eissn><abstract>By using simple mode coupling equations, we investigate the depolarized light scattering spectra of two so-called "fragile" glassforming liquids, salol (phenylsalicylate) and CKN (Ca_{0.4}K_{0.6}(NO_3)_{1.4}), measured by Cummins and coworkers. Nonlinear integrodifferential equations for the time evolution of the density-fluctuations autocorrelation functions are the basic input of the mode coupling theory. Restricting ourselves to a small set of such equations, we fit the numerical solution to the experimental spectra. It leads to a good agreement between model and experiment, which allows us to determine how a real system explores the parameter space of the model, but it also leads to unrealistic effective vertices in a temperature range where the theory makes critical asymptotic predictions. We finally discuss the relevance and the range of validity of these universal asymptotic predictions when applied to experimental data on supercooled liquids.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.9707085</doi><oa>free_for_read</oa></addata></record> |
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subjects | Apexes Asymptotic properties Autocorrelation functions Coupling Depolarization Light scattering Liquids Mathematical models Nonlinear equations Spectra Variations |
title | Study of the Depolarized Light Scattering Spectra of Supercooled Liquids by a Simple Mode-Coupling Model |
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