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Title
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Relation between transport and thermodynamic properties in liquid sp-electron metals near freezing
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Author
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Abstract
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| Classical statistical mechanics based on assumed pair potentials leads, for liquid metals, to an approximate relation between shear viscosity eta, surface tension sigma, and thermal velocity upsilon(T) defined as (k(B)T/M)(1/2), with M the ionic mass. Theory predicts for the dimensionless grouping sigma/eta upsilon(T) evaluated at the melting temperature T-m a single value 15/16; liquid sp-electron metals exhibit, however, a scatter from around 0.7 to 2.3. Therefore, an alternative grouping sigma/eta upsilon(s), with upsilon(s) the velocity of sound, is considered here in detail, first using experimental data and second using both theoretical and semiempirical arguments. The scatter of sigma/eta upsilon(s) at T-m is less than for the earlier grouping, and also insight can be gained as to various physical factors determining sigma/eta upsilon(s). In essence, this quantity is proportional to the product of two factors, both dimensionless, namely, the surface thickness L measured in units of the mean interionic separation, and the square root of the energy M upsilon(s)(2), measured in units of the thermal energy k(B)T(m). Theoretical estimates are made of both of these factors, in fair accord with the experimental data. [S1063-651X(99)07610-2]. |
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Language
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English
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Source (journal)
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Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics. - Lancaster, Pa, 1993 - 2000
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Publication
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Lancaster, Pa
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1999
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ISSN
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1063-651X
[print]
1095-3787
[online]
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DOI
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10.1103/PHYSREVE.60.4125
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Volume/pages
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60
:4Part a
(1999)
, p. 4125-4129
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ISI
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000083414800078
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Full text (Publisher's DOI)
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Full text (open access)
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