GEOMETRICAL MODELING OF COMPRESSIBILITY DYNAMICS OF THE LANGMUIR MONOLAYER
https://doi.org/10.29235/1561-2430-2018-54-1-84-96
Abstract
In the article, the previously constructed geometrical model, which describes the first-order phase transition dynamics in the configuration Finsler space of the Langmuir monolayer, is developed. The behavior both of a Cartan vector and a Berwald curvature of the Finsler space is studied. The Berwald curvature is found to change significantly during the first-order phase transition from liquid to crystal. The correspondence between the Berwald curvature behavior and the dynamics of monolayer thermodynamic parameters: surface pressure and compressibility, is established. The agreement between theoretical dependences and experimental data is shown. An approximate analytical expression is found for compressibility, as a function of the Berwald curvature at low compression rates. Comparison of numerical simulation results with the experimental isotherms reveals that the formation of phase nuclei with large relaxation times determines the phase transition dynamics during the monolayer formation with large compression rates.
About the Authors
N. G. Krylova
Belarusian State University, Minsk
Belarus
Researcher of the Laboratory of Dielectric Spectroscopy of Heterogeneous Systems of the Physics Faculty
Belarus
Researcher of the Laboratory of Dielectric Spectroscopy of Heterogeneous Systems of the Physics Faculty
H. V. Grushevskaya
Belarusian State University, Minsk
Belarus
Ph. D. (Physics and Mathematics), Leading Researcher of the Laboratory of Dielectric Spectroscopy of Heterogeneous Systems of the Physics Faculty
Belarus
Ph. D. (Physics and Mathematics), Leading Researcher of the Laboratory of Dielectric Spectroscopy of Heterogeneous Systems of the Physics Faculty
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