Temperature-abnormal diffusivity in underdamped space-periodic systems driven by external time-periodic force
We present a study of diffusion enhancement of underdamped Brownian particles in 1D symmetric space-periodic potential due to external symmetric time-periodic forcing with zero mean. We show that the diffusivity can be enhanced by many orders of magnitude at appropriate choice of the forcing amplitu...
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| description | We present a study of diffusion enhancement of underdamped Brownian particles in 1D symmetric space-periodic potential due to external symmetric time-periodic forcing with zero mean. We show that the diffusivity can be enhanced by many orders of magnitude at appropriate choice of the forcing amplitude and frequency. The diffusivity demonstrates TAD, abnormal (decreasing) temperature dependence at forcing amplitudes exceeding certain value. At any fixed forcing frequency \(\Omega\) normal temperature dependence of the diffusivity is restored at low enough temperatures, \(T |
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We show that the diffusivity can be enhanced by many orders of magnitude at appropriate choice of the forcing amplitude and frequency. The diffusivity demonstrates TAD, abnormal (decreasing) temperature dependence at forcing amplitudes exceeding certain value. At any fixed forcing frequency \(\Omega\) normal temperature dependence of the diffusivity is restored at low enough temperatures, \(T<T_\textrm{TAD}(\Omega)\) --- in contrast with the problem with constant external forcing. At fixed temperature at small forcing frequency the diffusivity either slowly decreases with \(\Omega\), or (at stronger forcing) goes through a maximum near \(\Omega_2\), reciprocal superdiffusion stage duration. At high frequencies, between \(\Omega_2\) and a fraction of the oscillation frequency at the potential minimum, the diffusivity is shown to decrease with \(\Omega\) according to a power law, with exponent related to the transient superdiffusion exponent. This behavior is found similar for the cases of sinusoidal in time and piecewise constant periodic ("square") forcing.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1701.01424</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Amplitudes ; Brownian motion ; Diffusivity ; Physics - Chaotic Dynamics ; Physics - Statistical Mechanics ; Temperature ; Temperature dependence</subject><ispartof>arXiv.org, 2017-01</ispartof><rights>2017. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). 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We show that the diffusivity can be enhanced by many orders of magnitude at appropriate choice of the forcing amplitude and frequency. The diffusivity demonstrates TAD, abnormal (decreasing) temperature dependence at forcing amplitudes exceeding certain value. At any fixed forcing frequency \(\Omega\) normal temperature dependence of the diffusivity is restored at low enough temperatures, \(T<T_\textrm{TAD}(\Omega)\) --- in contrast with the problem with constant external forcing. At fixed temperature at small forcing frequency the diffusivity either slowly decreases with \(\Omega\), or (at stronger forcing) goes through a maximum near \(\Omega_2\), reciprocal superdiffusion stage duration. At high frequencies, between \(\Omega_2\) and a fraction of the oscillation frequency at the potential minimum, the diffusivity is shown to decrease with \(\Omega\) according to a power law, with exponent related to the transient superdiffusion exponent. This behavior is found similar for the cases of sinusoidal in time and piecewise constant periodic ("square") forcing.</description><subject>Amplitudes</subject><subject>Brownian motion</subject><subject>Diffusivity</subject><subject>Physics - Chaotic Dynamics</subject><subject>Physics - Statistical Mechanics</subject><subject>Temperature</subject><subject>Temperature dependence</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</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>eNpNkMtqwzAUREWh0JDmA7qqoGun0pVk2csS-oJAN9kbyboChfhRyQ7x39dJushqNmeG4RDyxNlaFkqxVxNP4bjmmvE14xLkHVmAEDwrJMADWaW0Z4xBrkEpsSDNDpseoxnGiJmxbRcbc6AueD-mcAzDRENLx9ZhdGYGHU29qTGbK6FzoaZpSgM2iboYjthSO1E8DRjbeWQIzQ3ou1jjI7n35pBw9Z9Lsvt4322-su3P5_fmbZsZBSrjVmnjrM7LmnMNrIACmPJOOiyVUrln0nsQpjS-rnPnrbO5AFvw0kJukYsleb7OXlxUfQyNiVN1dlJdnMzEy5XoY_c7YhqqfTeeX6cKmOagmRRK_AGJrmcP</recordid><startdate>20170106</startdate><enddate>20170106</enddate><creator>Marchenko, Ivan G</creator><creator>Marchenko, Igor I</creator><creator>Zhiglo, Andrey V</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>ALA</scope><scope>GOX</scope></search><sort><creationdate>20170106</creationdate><title>Temperature-abnormal diffusivity in underdamped space-periodic systems driven by external time-periodic force</title><author>Marchenko, Ivan G ; Marchenko, Igor I ; Zhiglo, Andrey V</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a525-1b57adb769c11720828205fd4de95556f04ff23a9afcc6dfbdb632b819b26be13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Amplitudes</topic><topic>Brownian motion</topic><topic>Diffusivity</topic><topic>Physics - Chaotic Dynamics</topic><topic>Physics - Statistical Mechanics</topic><topic>Temperature</topic><topic>Temperature dependence</topic><toplevel>online_resources</toplevel><creatorcontrib>Marchenko, Ivan G</creatorcontrib><creatorcontrib>Marchenko, Igor I</creatorcontrib><creatorcontrib>Zhiglo, Andrey V</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>Access via ProQuest (Open Access)</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 Nonlinear Science</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Marchenko, Ivan G</au><au>Marchenko, Igor I</au><au>Zhiglo, Andrey V</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Temperature-abnormal diffusivity in underdamped space-periodic systems driven by external time-periodic force</atitle><jtitle>arXiv.org</jtitle><date>2017-01-06</date><risdate>2017</risdate><eissn>2331-8422</eissn><abstract>We present a study of diffusion enhancement of underdamped Brownian particles in 1D symmetric space-periodic potential due to external symmetric time-periodic forcing with zero mean. We show that the diffusivity can be enhanced by many orders of magnitude at appropriate choice of the forcing amplitude and frequency. The diffusivity demonstrates TAD, abnormal (decreasing) temperature dependence at forcing amplitudes exceeding certain value. At any fixed forcing frequency \(\Omega\) normal temperature dependence of the diffusivity is restored at low enough temperatures, \(T<T_\textrm{TAD}(\Omega)\) --- in contrast with the problem with constant external forcing. At fixed temperature at small forcing frequency the diffusivity either slowly decreases with \(\Omega\), or (at stronger forcing) goes through a maximum near \(\Omega_2\), reciprocal superdiffusion stage duration. At high frequencies, between \(\Omega_2\) and a fraction of the oscillation frequency at the potential minimum, the diffusivity is shown to decrease with \(\Omega\) according to a power law, with exponent related to the transient superdiffusion exponent. This behavior is found similar for the cases of sinusoidal in time and piecewise constant periodic ("square") forcing.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1701.01424</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Amplitudes Brownian motion Diffusivity Physics - Chaotic Dynamics Physics - Statistical Mechanics Temperature Temperature dependence |
| title | Temperature-abnormal diffusivity in underdamped space-periodic systems driven by external time-periodic force |
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