Local non-equilibrium thermal fluctuation,internal noise and dissipation in gaseous heat conduction systems with high values of Prandtl number
By means of a stochastic model suggested in this paper for the systems with local non-equilibrium excited thermal fluctuations, the famous Shannon entropy is extended to include the heat conduction processes controlled externally by boundary constraints of constant temperature gradients at two sides...
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Veröffentlicht in: | Chinese chemical letters 2011-05, Vol.22 (5), p.626-630 |
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description | By means of a stochastic model suggested in this paper for the systems with local non-equilibrium excited thermal fluctuations, the famous Shannon entropy is extended to include the heat conduction processes controlled externally by boundary constraints of constant temperature gradients at two sides.Meanwhile,using the description of master equation for the continuous Markov processes a balance equation of stochastic entropy production valid for one dimension gaseous heat conduction systems with high values of Prandtl number has been also established.Based on it,a general expression for both the stochastic entropy production and the entropy production of fluctuations have been further deduced by theΩ-expansions.In this formalism,all kinds of stochastic contributions to the dissipation from the non-equilibrium thermal fluctuation and internal noise turn explicit. |
doi_str_mv | 10.1016/j.cclet.2010.11.006 |
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All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c311t-3a926d58b23fa65d9efe19acc6d2eb1fc1b5106af48b606af952ec382c811173</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://image.cqvip.com/vip1000/qk/84039X/84039X.jpg</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.cclet.2010.11.006$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3548,27923,27924,45994</link.rule.ids></links><search><creatorcontrib>Lin, Feng</creatorcontrib><creatorcontrib>Luo, Jiu Li</creatorcontrib><creatorcontrib>Zhao, Nan Rong</creatorcontrib><title>Local non-equilibrium thermal fluctuation,internal noise and dissipation in gaseous heat conduction systems with high values of Prandtl number</title><title>Chinese chemical letters</title><addtitle>Chinese Chemical Letters</addtitle><description>By means of a stochastic model suggested in this paper for the systems with local non-equilibrium excited thermal fluctuations, the famous Shannon entropy is extended to include the heat conduction processes controlled externally by boundary constraints of constant temperature gradients at two sides.Meanwhile,using the description of master equation for the continuous Markov processes a balance equation of stochastic entropy production valid for one dimension gaseous heat conduction systems with high values of Prandtl number has been also established.Based on it,a general expression for both the stochastic entropy production and the entropy production of fluctuations have been further deduced by theΩ-expansions.In this formalism,all kinds of stochastic contributions to the dissipation from the non-equilibrium thermal fluctuation and internal noise turn explicit.</description><subject>Entropy production of fluctuations</subject><subject>Local non-equilibrium thermal fluctuation dissipation</subject><subject>Master equation of continuous stochastic processes</subject><subject>Stochastic model of gaseous heat conduction</subject><subject>噪音</subject><subject>散热</subject><subject>普朗特数</subject><subject>气体</subject><subject>波动</subject><subject>热传导系统</subject><subject>随机模型</subject><subject>非均衡性</subject><issn>1001-8417</issn><issn>1878-5964</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNqFkMFO3DAQhqOqSAXKE_TinriQrSfeeJ1DDwi1gLQSPXC3HGeceJvYYDtQ-hA8M84uPfc01sz__-P5iuIL0BVQ4N92K61HTKuKLh1YUco_FMcgNqKsG77-mN-UQinWsPlUnMS4o7QSgvHj4nXrtRqJ867Ex9mOtg12nkgaMEy5b8ZZp1kl692FdQmD24ttRKJcRzobo33Yj4l1pFcR_RzJgCoR7V2XzcsovsSEUyTPNg1ksP1AntQ4YyTekF8hB6UcOk8ths_FkVFjxLP3elrc__xxf3VTbu-ub68ut6VmAKlkqql4V4u2YkbxumvQIDRKa95V2ILR0NZAuTJr0fKlNnWFmolKCwDYsNPi_BD7rJxRrpc7Py-nRfm3H_78bjNHoDVlVVayg1IHH2NAIx-CnVR4kUDlwl7u5J69XNhLAJnZZ9f3gwvzDU8Wg4zaotPY2YA6yc7b__i_vm8dvOsfbf7hv7VsIwQwsWZvqZmdhA</recordid><startdate>20110501</startdate><enddate>20110501</enddate><creator>Lin, Feng</creator><creator>Luo, Jiu Li</creator><creator>Zhao, Nan Rong</creator><general>Elsevier B.V</general><general>Institute of Chemical Physics, College of Chemistry, Sichuan University, Chengdu 610064, China</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>20110501</creationdate><title>Local non-equilibrium thermal fluctuation,internal noise and dissipation in gaseous heat conduction systems with high values of Prandtl number</title><author>Lin, Feng ; 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ispartof | Chinese chemical letters, 2011-05, Vol.22 (5), p.626-630 |
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source | ScienceDirect Journals (5 years ago - present); Alma/SFX Local Collection |
subjects | Entropy production of fluctuations Local non-equilibrium thermal fluctuation dissipation Master equation of continuous stochastic processes Stochastic model of gaseous heat conduction 噪音 散热 普朗特数 气体 波动 热传导系统 随机模型 非均衡性 |
title | Local non-equilibrium thermal fluctuation,internal noise and dissipation in gaseous heat conduction systems with high values of Prandtl number |
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