DIFFUSION-MIGRATION CONCEPT APPLIED TO GROWTH AND STRUCTURE FORMATIONIN MODEL BIOMEMBRANES

A description of the microdomain structure formation in two-dimensiona l complex cooperative systems like model biomembranes or ultrathin org anic films is proposed, The theory developed states that the material under investigation can be divided into pieces (clusters, microdomains , grains) and deals with modeling of the pattern formation process in the regime of the long tail or even fractal kinetics, As a result, pow er and logarithmic laws of the average radius of the growing domain as a function of time are derived. Some other probabilistic characterist ics of the process are studied and a limiting case due to a disruption or defect process is analyzed. A comparison with the standard Kolmogo rov-Avrami approach is presented and some arguments concerning the exp lanation of phase transformations or defect formation in lipid bilayer s are pointed out.