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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Institution: | 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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