Curvature effects in clusters grown in a 2D discrete space: An algebraic approach
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.
mean-field approach polymorphic phase transitions curvature measures expansion-contraction behavior line tension bending