Rate Equations and Scaling in Pulsed Laser Deposition
arXiv:0802.3577 · doi:10.1103/PhysRevE.77.041607
Abstract
We study a simplified model for pulsed laser deposition [Phys. Rev. Lett. {\bf 87}, 135701 (2001)] by rate equations. We consider a set of equations, where islands are assumed to be point-like, as well as an improved one that takes the size of the islands into account. The first set of equations is solved exactly but its predictive power is restricted to a few pulses. The improved set of equations is integrated numerically, is in excellent agreement with simulations, and fully accounts for the crossover from continuous to pulsed deposition. Moreover, we analyze the scaling of the nucleation density and show numerical results indicating that a previously observed logarithmic scaling does not apply.
8 pages, 9 figures
References in corpus (7)
- Multifractal scaling in the Bak-Tang-Wiesenfeld Sandpile and edge events
- Unusual scaling for pulsed laser deposition
- The effect of a modulated flux on the growth of thin films
- Epitaxial growth with pulsed deposition: Submonolayer scaling and Villain instability
- Quantum Dimensional Zeeman Effect in the Magneto-optical Absorption Spectrum for Quantum Dot - Impurity Center Systems
- Monte-Carlo Simulation of Pulsed Laser Deposition
- On generalized scaling laws with continuously varying exponents