MICROSCOPIC STUDIES ON THE GROWTH IN A ONE-DIMENSIONAL SYSTEM - STEADY-STATE

The system considered is a one-dimensional growing model that exhibits the capturing process of particles with an attractive interaction potential between the lattice edge particle and the incident particles. The zero temperature-one particle capturing model hitherto well known is extended to a general case of an arbitrary temperature-many particle capturing model. The equations of motion of the system are derived and their exact solution is obtained. It is assumed that the relative displacements and momenta of the particles in the system are normally distributed as in a steady state. Obtaining the explicit expressions for the sticking probabilities and the growth rates at the edge of the lattice as the solid-surface, their numerical estimations vs various parameters are illustrated. The results are compared with experimental data.