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Curvature Effects In Clusters Grown In A 2d Discrete Space: An Algebraic Approach

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  • ADAM GADOMSKI

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

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.

Suggested Citation

  • Adam Gadomski, 2002. "Curvature Effects In Clusters Grown In A 2d Discrete Space: An Algebraic Approach," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 13(09), pages 1285-1299.
    • Handle: RePEc:wsi:ijmpcx:v:13:y:2002:i:09:n:s0129183102004133
    DOI: 10.1142/S0129183102004133
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