CURVATURE EFFECTS IN CLUSTERS GROWN IN A 2D DISCRETE SPACE: AN ALGEBRAIC APPROACH

Adam Gadomski ()
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Adam Gadomski: Department of Theoretical Physics, UTA, Al. Kaliskiego 7, Bydgoszcz, PL–85796, Poland

International Journal of Modern Physics C (IJMPC), 2002, vol. 13, issue 09, 1285-1299

Abstract: According to a phenomenological phase transition mechanism introduced quite recently, we propose a systematic examination of the polymorphic contraction–expansion effects observed for a broad class of morphologies with nonvanishing surface (line) tension. In our mean-field approach, we are looking for the line order parameter behavior as a function of a thermodynamic control parameter at a fixed number of entities consituting the morphology as a whole. We also wish to somehow invert the problem, and will be looking for some evolution going via a set of quasi-equilibrium states while fixing the control parameter. Both the situations considered are of interest for studying the so-called morphology diagrams as well as, to some extent, for describing selected model evolutions in a two-dimensional microworld, e.g., in nanoscale, where biomembranes and interfaces are presently of special attention.

Keywords: Mean-field approach; polymorphic phase transitions; curvature measures; expansion–contraction behavior; line tension; bending (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1142/S0129183102004133

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