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Equation of state for fluid helium-3 based on Debye phonon model
An equation of state for He 3 using the Helmholtz potential function has been developed. It is based on the Debye phonon model which goes smoothly to zero in the limit of zero temperature, and reduces to the ideal gas in the limit of zero density and/or very high temperature. The lower temperature l...
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Published in: | Applied physics letters 2006-02, Vol.88 (9), p.091905-091905-3 |
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container_end_page | 091905-3 |
container_issue | 9 |
container_start_page | 091905 |
container_title | Applied physics letters |
container_volume | 88 |
creator | Huang, Y. H. Chen, G. B. Arp, V. D. |
description | An equation of state for
He
3
using the Helmholtz potential function has been developed. It is based on the Debye phonon model which goes smoothly to zero in the limit of zero temperature, and reduces to the ideal gas in the limit of zero density and/or very high temperature. The lower temperature limit of the equation
10
mK
is safely above the superfluid transition at
2.6
mK
. The upper limit of
60
K
is approximately the upper limit of available
He
3
properties measurements. The certain pressure range of validity of the equation is from about 0 to the melting pressure or
15
MPa
. State properties are determined from the Helmholtz energy by standard thermodynamics. |
doi_str_mv | 10.1063/1.2178867 |
format | article |
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He
3
using the Helmholtz potential function has been developed. It is based on the Debye phonon model which goes smoothly to zero in the limit of zero temperature, and reduces to the ideal gas in the limit of zero density and/or very high temperature. The lower temperature limit of the equation
10
mK
is safely above the superfluid transition at
2.6
mK
. The upper limit of
60
K
is approximately the upper limit of available
He
3
properties measurements. The certain pressure range of validity of the equation is from about 0 to the melting pressure or
15
MPa
. State properties are determined from the Helmholtz energy by standard thermodynamics.</description><identifier>ISSN: 0003-6951</identifier><identifier>EISSN: 1077-3118</identifier><identifier>DOI: 10.1063/1.2178867</identifier><identifier>CODEN: APPLAB</identifier><language>eng</language><publisher>United States: American Institute of Physics</publisher><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; DENSITY ; EQUATIONS OF STATE ; FREE ENERGY ; HELIUM 3 ; MATERIALS SCIENCE ; MELTING ; PHONONS ; PRESSURE RANGE MEGA PA 10-100 ; SUPERFLUIDITY ; TEMPERATURE RANGE 0000-0013 K ; TEMPERATURE RANGE 0013-0065 K ; THERMODYNAMICS</subject><ispartof>Applied physics letters, 2006-02, Vol.88 (9), p.091905-091905-3</ispartof><rights>2006 American Institute of Physics</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c312t-10e9aebb93dde0ded9d12da075b2850c90b4077bca099824bd3b969cae169673</citedby><cites>FETCH-LOGICAL-c312t-10e9aebb93dde0ded9d12da075b2850c90b4077bca099824bd3b969cae169673</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/apl/article-lookup/doi/10.1063/1.2178867$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>230,314,780,782,784,795,885,27924,27925,76255</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/20778752$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Huang, Y. H.</creatorcontrib><creatorcontrib>Chen, G. B.</creatorcontrib><creatorcontrib>Arp, V. D.</creatorcontrib><title>Equation of state for fluid helium-3 based on Debye phonon model</title><title>Applied physics letters</title><description>An equation of state for
He
3
using the Helmholtz potential function has been developed. It is based on the Debye phonon model which goes smoothly to zero in the limit of zero temperature, and reduces to the ideal gas in the limit of zero density and/or very high temperature. The lower temperature limit of the equation
10
mK
is safely above the superfluid transition at
2.6
mK
. The upper limit of
60
K
is approximately the upper limit of available
He
3
properties measurements. The certain pressure range of validity of the equation is from about 0 to the melting pressure or
15
MPa
. State properties are determined from the Helmholtz energy by standard thermodynamics.</description><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>DENSITY</subject><subject>EQUATIONS OF STATE</subject><subject>FREE ENERGY</subject><subject>HELIUM 3</subject><subject>MATERIALS SCIENCE</subject><subject>MELTING</subject><subject>PHONONS</subject><subject>PRESSURE RANGE MEGA PA 10-100</subject><subject>SUPERFLUIDITY</subject><subject>TEMPERATURE RANGE 0000-0013 K</subject><subject>TEMPERATURE RANGE 0013-0065 K</subject><subject>THERMODYNAMICS</subject><issn>0003-6951</issn><issn>1077-3118</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><recordid>eNp1kE1LAzEQhoMoWKsH_0HAk4etmU13s7mI0tYPKHjpPeRjQle2m7pJD_33ph8ePQ0vPPMy8xByD2wCrOZPMClBNE0tLsgImBAFB2guyYgxxotaVnBNbmL8zrEqOR-Rl8XPTqc29DR4GpNOSH0YqO92raNr7NrdpuDU6IiOZmiOZo90uw59DpvgsLslV153Ee_Oc0xWb4vV7KNYfr1_zl6XheVQpgIYSo3GSO4cModOOiidZqIyZVMxK5mZ5nON1UzKppwax42spdUItawFH5OHU22IqVXRtgnt2oa-R5tUmTcbkR8ak8cTZYcQ44BebYd2o4e9AqYOfhSos5_MPp_YQ9lRwf_wnyQVvDpKUj7wX9Zha9U</recordid><startdate>20060227</startdate><enddate>20060227</enddate><creator>Huang, Y. H.</creator><creator>Chen, G. B.</creator><creator>Arp, V. D.</creator><general>American Institute of Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>20060227</creationdate><title>Equation of state for fluid helium-3 based on Debye phonon model</title><author>Huang, Y. H. ; Chen, G. B. ; Arp, V. D.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c312t-10e9aebb93dde0ded9d12da075b2850c90b4077bca099824bd3b969cae169673</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2006</creationdate><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>DENSITY</topic><topic>EQUATIONS OF STATE</topic><topic>FREE ENERGY</topic><topic>HELIUM 3</topic><topic>MATERIALS SCIENCE</topic><topic>MELTING</topic><topic>PHONONS</topic><topic>PRESSURE RANGE MEGA PA 10-100</topic><topic>SUPERFLUIDITY</topic><topic>TEMPERATURE RANGE 0000-0013 K</topic><topic>TEMPERATURE RANGE 0013-0065 K</topic><topic>THERMODYNAMICS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Huang, Y. H.</creatorcontrib><creatorcontrib>Chen, G. B.</creatorcontrib><creatorcontrib>Arp, V. D.</creatorcontrib><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>Applied physics letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Huang, Y. H.</au><au>Chen, G. B.</au><au>Arp, V. D.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Equation of state for fluid helium-3 based on Debye phonon model</atitle><jtitle>Applied physics letters</jtitle><date>2006-02-27</date><risdate>2006</risdate><volume>88</volume><issue>9</issue><spage>091905</spage><epage>091905-3</epage><pages>091905-091905-3</pages><issn>0003-6951</issn><eissn>1077-3118</eissn><coden>APPLAB</coden><abstract>An equation of state for
He
3
using the Helmholtz potential function has been developed. It is based on the Debye phonon model which goes smoothly to zero in the limit of zero temperature, and reduces to the ideal gas in the limit of zero density and/or very high temperature. The lower temperature limit of the equation
10
mK
is safely above the superfluid transition at
2.6
mK
. The upper limit of
60
K
is approximately the upper limit of available
He
3
properties measurements. The certain pressure range of validity of the equation is from about 0 to the melting pressure or
15
MPa
. State properties are determined from the Helmholtz energy by standard thermodynamics.</abstract><cop>United States</cop><pub>American Institute of Physics</pub><doi>10.1063/1.2178867</doi></addata></record> |
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issn | 0003-6951 1077-3118 |
language | eng |
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source | American Institute of Physics (AIP) Publications; American Institute of Physics:Jisc Collections:Transitional Journals Agreement 2021-23 (Reading list) |
subjects | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS DENSITY EQUATIONS OF STATE FREE ENERGY HELIUM 3 MATERIALS SCIENCE MELTING PHONONS PRESSURE RANGE MEGA PA 10-100 SUPERFLUIDITY TEMPERATURE RANGE 0000-0013 K TEMPERATURE RANGE 0013-0065 K THERMODYNAMICS |
title | Equation of state for fluid helium-3 based on Debye phonon model |
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