Relation between transport and thermodynamic properties in liquid sp-electron metals near freezing
article

1999
Lancaster, Pa
, 1999

Physics

Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics. - Lancaster, Pa, 1993 - 2000

60(1999)
:4Part a
, p. 4125-4129

1063-651X

000083414800078

E

English (eng)

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].

https://repository.uantwerpen.be/docman/irua/6abb5e/8132.pdf

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