The paper centers on the evaluation of the function n(Theta)=N(Theta)/N-0, that is the normalized number of islands as a function of coverage Theta is an element of[0,1], given N-0 initial nucleation centers (dots) having any degree of spatial correlation. A mean field approach has been employed: the islands have the same size at any coverage. In particular, as far as the random distribution of dots is concerned, the problem has been solved by considering the contribution of binary collisions between islands only. With regard to correlated dots, we generalize a method previously applied to the random case only. In passing, we have made use of the exclusion probability reported in [S. Torquato, B. Lu, and J. Rubinstein, Phys. Rev. A 41, 2059 (1990)], for determining the kinetics of surface coverage in the case of correlated dots, improving our previous calculation [M. Tomellini, M. Fanfoni, and M. Volpe, Phys. Rev. B 62, 11300 (2000)].
Tomellini, M., Fanfoni, M. (2005). Kinetics of island density in thin film growth in the framework of statistical mechanics of rigid disks. PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS, 72(15), 1-5 [10.1103/PhysRevB.72.155407].
Kinetics of island density in thin film growth in the framework of statistical mechanics of rigid disks
TOMELLINI, MASSIMO;FANFONI, MASSIMO
2005-01-01
Abstract
The paper centers on the evaluation of the function n(Theta)=N(Theta)/N-0, that is the normalized number of islands as a function of coverage Theta is an element of[0,1], given N-0 initial nucleation centers (dots) having any degree of spatial correlation. A mean field approach has been employed: the islands have the same size at any coverage. In particular, as far as the random distribution of dots is concerned, the problem has been solved by considering the contribution of binary collisions between islands only. With regard to correlated dots, we generalize a method previously applied to the random case only. In passing, we have made use of the exclusion probability reported in [S. Torquato, B. Lu, and J. Rubinstein, Phys. Rev. A 41, 2059 (1990)], for determining the kinetics of surface coverage in the case of correlated dots, improving our previous calculation [M. Tomellini, M. Fanfoni, and M. Volpe, Phys. Rev. B 62, 11300 (2000)].I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
