Thermodynamics of computation and linear stability limits of superfluid refrigeration of a model computing array
We analyze the stability of the temperature profile of an array of computing nanodevices refrigerated by flowing superfluid helium, under variations in temperature, computing rate, and barycentric velocity of helium. It turns out that if the variation in dissipated energy per bit with respect to tem...
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| Veröffentlicht in: | Zeitschrift für angewandte Mathematik und Physik 2019-08, Vol.70 (4), p.1-15, Article 121 |
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| container_title | Zeitschrift für angewandte Mathematik und Physik |
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| creator | Sciacca, Michele Sellitto, Antonio Galantucci, Luca Jou, David |
| description | We analyze the stability of the temperature profile of an array of computing nanodevices refrigerated by flowing superfluid helium, under variations in temperature, computing rate, and barycentric velocity of helium. It turns out that if the variation in dissipated energy per bit with respect to temperature variations is higher than some critical values, proportional to the effective thermal conductivity of the array, then the steady-state temperature profiles become unstable and refrigeration efficiency is lost. Furthermore, a restriction on the maximum rate of variation in the local computation rate is found. |
| doi_str_mv | 10.1007/s00033-019-1162-7 |
| format | Article |
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Furthermore, a restriction on the maximum rate of variation in the local computation rate is found.</description><subject>Arrays</subject><subject>Computation</subject><subject>Engineering</subject><subject>Fluids</subject><subject>Helium</subject><subject>Mathematical Methods in Physics</subject><subject>Nanotechnology devices</subject><subject>Refrigeration</subject><subject>Stability analysis</subject><subject>Superfluidity</subject><subject>Temperature profiles</subject><subject>Theoretical and Applied Mechanics</subject><subject>Thermal conductivity</subject><issn>0044-2275</issn><issn>1420-9039</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1kEtLBDEQhIMouK7-AG8Bz9FOMpnMHGXxBQte1nPI5rFmmZfJzGH-vdFZ8OSpofuraqoQuqVwTwHkQwIAzgnQmlBaMiLP0IoWDEgNvD5HK4CiIIxJcYmuUjpmWlLgKzTsPl1sezt3ug0m4d5j07fDNOox9B3WncVN6JyOOI16H5owznnRhvEXTdPgom-mYHF0PoaDi4su3zTOtq452YXugHWMer5GF143yd2c5hp9PD_tNq9k-_7ytnncEsNFPRLOPbdcaqGdl9zvhZO2NpUU3lkhBbMFL0pTWmarSgDUhkJdlqySRld7I0u-RneL7xD7r8mlUR37KXb5pWJMVAwqLmmm6EKZ2KeUM6ghhlbHWVFQP8WqpViVi1U_xSqZNWzRpMx2OfKf8_-ib6lzfR8</recordid><startdate>20190801</startdate><enddate>20190801</enddate><creator>Sciacca, Michele</creator><creator>Sellitto, Antonio</creator><creator>Galantucci, Luca</creator><creator>Jou, David</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-6917-3722</orcidid></search><sort><creationdate>20190801</creationdate><title>Thermodynamics of computation and linear stability limits of superfluid refrigeration of a model computing array</title><author>Sciacca, Michele ; Sellitto, Antonio ; Galantucci, Luca ; Jou, David</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c359t-33f3d37a5aef73fb5e7d9c875fed5752d4346c6d2d885009c10966287ca8bc763</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Arrays</topic><topic>Computation</topic><topic>Engineering</topic><topic>Fluids</topic><topic>Helium</topic><topic>Mathematical Methods in Physics</topic><topic>Nanotechnology devices</topic><topic>Refrigeration</topic><topic>Stability analysis</topic><topic>Superfluidity</topic><topic>Temperature profiles</topic><topic>Theoretical and Applied Mechanics</topic><topic>Thermal conductivity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sciacca, Michele</creatorcontrib><creatorcontrib>Sellitto, Antonio</creatorcontrib><creatorcontrib>Galantucci, Luca</creatorcontrib><creatorcontrib>Jou, David</creatorcontrib><collection>CrossRef</collection><jtitle>Zeitschrift für angewandte Mathematik und Physik</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sciacca, Michele</au><au>Sellitto, Antonio</au><au>Galantucci, Luca</au><au>Jou, David</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Thermodynamics of computation and linear stability limits of superfluid refrigeration of a model computing array</atitle><jtitle>Zeitschrift für angewandte Mathematik und Physik</jtitle><stitle>Z. Angew. Math. Phys</stitle><date>2019-08-01</date><risdate>2019</risdate><volume>70</volume><issue>4</issue><spage>1</spage><epage>15</epage><pages>1-15</pages><artnum>121</artnum><issn>0044-2275</issn><eissn>1420-9039</eissn><abstract>We analyze the stability of the temperature profile of an array of computing nanodevices refrigerated by flowing superfluid helium, under variations in temperature, computing rate, and barycentric velocity of helium. It turns out that if the variation in dissipated energy per bit with respect to temperature variations is higher than some critical values, proportional to the effective thermal conductivity of the array, then the steady-state temperature profiles become unstable and refrigeration efficiency is lost. 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| issn | 0044-2275 1420-9039 |
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| source | SpringerNature Journals |
| subjects | Arrays Computation Engineering Fluids Helium Mathematical Methods in Physics Nanotechnology devices Refrigeration Stability analysis Superfluidity Temperature profiles Theoretical and Applied Mechanics Thermal conductivity |
| title | Thermodynamics of computation and linear stability limits of superfluid refrigeration of a model computing array |
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