DESCRIPTION OF MICRODOMAIN GROWTH IN COMPETITIVE 3D-AGGLOMERATES

A model of microdomain growth in three-dimensional systems like metals or ceramics is adapted to describe the growth kinetics and structure formation in competitive mass exchanging systems like biomembranes, li quid crystalline materials or polymers. The theory proposed assumes th at the material in question can be partitioned into pieces (microdomai ns, clusters, grains) and concerns with modelling of the growth proces s in a. time-dependent regime (i.e., when the so-called long tail kine tics is introduced). As a result, power and logarithmic laws of the av erage radius of the growing domain against time are obtained and some other probabilistic characteristics of the process are analysed. An ex tension to disruption or defect processes in biosystems is presented. The approach developed can serve to elucidate some experimental result s got e.g. for multilamellar lipid bilayers which till now are exclusi vely interpreted in terms of the Kolmogorov-Avrami model.