| his thesis concerns nonequilibrium phenomena, in general, and namely, reaction kinetics, nucleation, surface science, and spirodial decomposition, in particular. Focus was put on low-dimensional, exactly solvable, strongly fluctuating systems.;A phase separation model with only energy decreasing moves allowed is also exactly solved, corresponding to the T = 0 Kawasaki dynamics limit. This model represents an extension of previous work found in the literature to include biased spin exchange dynamics, of relevance to phase separation under an applied field, e.g., under gravity. It is shown, through phenomenological arguments how the presence of such a field can in fact change the dynamics even for small non-zero values of the temperature, T, namely, the presence of the field lowers the value of the dynamical critical exponent z by one, to z = 4.;Synchronous dynamics, cellular automata type models were used to exactly solve within a single framework, using an exact mapping of a corresponding charged particle kinetics model, the... |
