Scaling, fractal, and Hurst effects in spontaneous violations of entropy inequality in granular Couette systems
Planar Couette flows of granular systems are investigated at different spatial and time scales using computational dynamics to determine their stochastic characteristics. Systems with one or two sizes of circular disks with frictional-Hookean contacts are studied. While spontaneous violations of the...
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Veröffentlicht in: | Physics of fluids (1994) 2024-07, Vol.36 (7) |
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description | Planar Couette flows of granular systems are investigated at different spatial and time scales using computational dynamics to determine their stochastic characteristics. Systems with one or two sizes of circular disks with frictional-Hookean contacts are studied. While spontaneous violations of the second law of thermodynamics always follow the fluctuation theorem, time and spatial dependencies of the dissipation as a random process are determined for multiple regimes. Given that grain rotations are degrees of freedom separate from grain translations, the dissipation is calculated from a micropolar model. In monosized disk systems, it is found that the dissipation is Gaussian and, for successively smaller systems, it tends to have a skewed Cauchy probability distribution. Multi-diameter grain flows, once a steady-state mixture of the particles occurs, are comparable to the average diameter monosized granular flow. The flows' dissipation is found to be very closely modeled by a random process with the Cauchy covariance function, whose numerical parameters imply fractal and anti-persistent long-memory characters. |
doi_str_mv | 10.1063/5.0219367 |
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Systems with one or two sizes of circular disks with frictional-Hookean contacts are studied. While spontaneous violations of the second law of thermodynamics always follow the fluctuation theorem, time and spatial dependencies of the dissipation as a random process are determined for multiple regimes. Given that grain rotations are degrees of freedom separate from grain translations, the dissipation is calculated from a micropolar model. In monosized disk systems, it is found that the dissipation is Gaussian and, for successively smaller systems, it tends to have a skewed Cauchy probability distribution. Multi-diameter grain flows, once a steady-state mixture of the particles occurs, are comparable to the average diameter monosized granular flow. 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The flows' dissipation is found to be very closely modeled by a random process with the Cauchy covariance function, whose numerical parameters imply fractal and anti-persistent long-memory characters.</description><subject>Couette flow</subject><subject>Disks</subject><subject>Dissipation</subject><subject>Equilibrium flow</subject><subject>Fractals</subject><subject>Normal distribution</subject><subject>Random processes</subject><subject>Spatial dependencies</subject><subject>Thermodynamics</subject><subject>Translations</subject><issn>1070-6631</issn><issn>1089-7666</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp9kDFPwzAUhC0EEqUw8A8sMYGaYseJY4-oKhSpEgMwRy_Jc5UqtVPbQeq_J6WdWe7d8Ome7gi552zOmRTP-ZylXAtZXJAJZ0onhZTy8ugLlkgp-DW5CWHLGBM6lRPiPmvoWruZUeOhjtDNKNiGrgYfIkVjsI6BtpaG3tkIFt0Q6E_rOoits4E6Q9FG7_rDCOF-GLPi0dKNBzt04OnCDRgj0nAIEXfhllwZ6ALene-UfL8uvxarZP3x9r54WSc1V2kcFVWqGehc5YaJrFJQSJXzRlfAasyERERTaQ0oQPK8kkYja7BRmap00YgpeTjl9t7tBwyx3LrB2_FlKZjK8jQTWo3U44mqvQvBoyl73-7AH0rOyuOeZV6e9xzZpxMb6jb-1f8H_gVS2XcB</recordid><startdate>202407</startdate><enddate>202407</enddate><creator>Wolfgram, Zachary</creator><creator>Ostoja-Starzewski, Martin</creator><general>American Institute of Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><orcidid>https://orcid.org/0009-0001-3392-1493</orcidid><orcidid>https://orcid.org/0000-0002-3493-363X</orcidid></search><sort><creationdate>202407</creationdate><title>Scaling, fractal, and Hurst effects in spontaneous violations of entropy inequality in granular Couette systems</title><author>Wolfgram, Zachary ; Ostoja-Starzewski, Martin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c182t-c1e8290a9585f034b8a76851d9ba0ce436eeefb99ae3a615b6f9e0ded848b97d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Couette flow</topic><topic>Disks</topic><topic>Dissipation</topic><topic>Equilibrium flow</topic><topic>Fractals</topic><topic>Normal distribution</topic><topic>Random processes</topic><topic>Spatial dependencies</topic><topic>Thermodynamics</topic><topic>Translations</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wolfgram, Zachary</creatorcontrib><creatorcontrib>Ostoja-Starzewski, Martin</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physics of fluids (1994)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wolfgram, Zachary</au><au>Ostoja-Starzewski, Martin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Scaling, fractal, and Hurst effects in spontaneous violations of entropy inequality in granular Couette systems</atitle><jtitle>Physics of fluids (1994)</jtitle><date>2024-07</date><risdate>2024</risdate><volume>36</volume><issue>7</issue><issn>1070-6631</issn><eissn>1089-7666</eissn><coden>PHFLE6</coden><abstract>Planar Couette flows of granular systems are investigated at different spatial and time scales using computational dynamics to determine their stochastic characteristics. Systems with one or two sizes of circular disks with frictional-Hookean contacts are studied. While spontaneous violations of the second law of thermodynamics always follow the fluctuation theorem, time and spatial dependencies of the dissipation as a random process are determined for multiple regimes. Given that grain rotations are degrees of freedom separate from grain translations, the dissipation is calculated from a micropolar model. In monosized disk systems, it is found that the dissipation is Gaussian and, for successively smaller systems, it tends to have a skewed Cauchy probability distribution. Multi-diameter grain flows, once a steady-state mixture of the particles occurs, are comparable to the average diameter monosized granular flow. 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subjects | Couette flow Disks Dissipation Equilibrium flow Fractals Normal distribution Random processes Spatial dependencies Thermodynamics Translations |
title | Scaling, fractal, and Hurst effects in spontaneous violations of entropy inequality in granular Couette systems |
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