2015/12/05 by V. Balan, Vladimir Balan, H. V. Grushevskaya +8
Physics and Astronomy · #53B40 #53C80 #81T13 #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #FOS: Physical sciences #Quantum Electrodynamics and Casimir Effect #Soft Condensed Matter (cond-mat.soft) #cond-mat.soft #msc:53B40 #msc:53C80 #msc:81T13
paper · pdf · doi:10.48550/arxiv.1512.02630
arxiv created 2015/12/05 · openalex publication_date 2015/12/05 · arxiv updated 2015/12/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper an information geometric approach has been proposed to describe the two-dimensional (2d) phase transition of the first order in a monomolecular layer (monolayer) of amphiphilic molecules deposited on air/water interface. The structurization of the monolayer was simulated as an entropy evolution of a statistical set of microscopic states with a large number of relaxation times. The electrocapillary forces are considered as information constraints on the statistical manifold. The solution curves of Euler-Lagrange equations and the Jacobi field equations point out contracting pencils of geodesic trajectories on the statistical manifold, which may change into spreading ones, and converse. It was shown that the information geometrodynamics of the first-order phase transition in the Langmuir monolayer finds an appropriate realization within the Finsler-Lagrange framework.