New criterion for comparison of classical theory of nucleation in superheated liquids with experimental data |
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Authors: | G. V. Ermakov E. V. Lipnyagov S. A. Perminov |
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Affiliation: | 1. Institute of Thermophysics UB RAS, Ekaterinburg, Russia
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Abstract: | We have obtained inequality $
1 - {{Delta bar tau } mathord{left/
{vphantom {{Delta bar tau } {bar tau }}} right.
kern-nulldelimiterspace} {bar tau }} < left( {J cdot V cdot bar tau } right)^{ - 1} < 1 + {{Delta bar tau } mathord{left/
{vphantom {{Delta bar tau } {bar tau }}} right.
kern-nulldelimiterspace} {bar tau }}
$
1 - {{Delta bar tau } mathord{left/
{vphantom {{Delta bar tau } {bar tau }}} right.
kern-nulldelimiterspace} {bar tau }} < left( {J cdot V cdot bar tau } right)^{ - 1} < 1 + {{Delta bar tau } mathord{left/
{vphantom {{Delta bar tau } {bar tau }}} right.
kern-nulldelimiterspace} {bar tau }}
, where J is the frequency of homogeneous nucleation, V and $
bar tau
$
bar tau
are, respectively, volume and average lifetime of the superheated liquid, and $
{{Delta bar tau } mathord{left/
{vphantom {{Delta bar tau } {bar tau }}} right.
kern-nulldelimiterspace} {bar tau }}
$
{{Delta bar tau } mathord{left/
{vphantom {{Delta bar tau } {bar tau }}} right.
kern-nulldelimiterspace} {bar tau }}
is relative statistical error $
bar tau
$
bar tau
. Inequality appears to be a consequence of nucleation homogeneity and stability used at its deduction and taken in the theory as initial and determinant assumption. Calculations with the use of experimental data for the boundaries of the attainable superheating show that inequality is not satisfied. Thus, experimental data can not be considered a proof of the theory fundamentals. |
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Keywords: | |
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