FIRST-ORDER PHASE TRANSITION DYNAMICS IN THE FINSLER CONFIGURATION SPACE OF THE LANGMUIR MONOLAYER

In the article, the Euler – Lagrange equations, which describe first-order phase transition dynamics in a con-figuration Finsler space of a Langmuir monolayer, have been obtained. An approximate method for analysis of the equations has been developed. The method is based on a combination of analytical and numerical calculations using the zero-order approximation with a fixed relaxation time and the more exact approximation with a model distribution of relaxation times. Heterogeneous dynamics of the system has been demonstrated. Such dynamics corresponds to the monolayer metastable state with different relaxation times of phase nuclei. The relaxation time distribution has a maximum and a maximum height depends on a monolayer compression rate. The increase of the maximum height at enhancement of a compression rate is accompanied by an explicit plateau of the isotherm that displays the characteristic behavior of the monolayer isotherm in the region of phase transition. The dynamics of a two-dimensional phase transition has been numerically studied at the compression rate as being sufficiently low, and a comparative analysis of the system behavior at two approximations (the approximation of fixed relaxation time and the approximation of model distribution of relaxation times) has been made. It has been found that the presence of phase nuclei with different relaxation times causes an effective centrifugal force, the magnitude of which depends on the gradient of electrocapillary forces.

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