2005/09/27 by S. V. Ghaisas, Ghaisas, S. V.
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics and Thin Films #Materials Science (cond-mat.mtrl-sci) #Soft Condensed Matter (cond-mat.soft) #Theoretical and Computational Physics #nanoparticles nucleation surface interactions
paper · pdf · doi:10.48550/arxiv.cond-mat/0509684
openalex publication_date 2005/09/27 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
Growth of interfaces during vapor deposition is analyzed on a discrete lattice. It leads to finding distribution of local heights, measurable for any lattice model. Invariance in the change of this distribution in time is used to determine the finite size effects in various models The analysis is applied to the discrete linear growth equation and Kardar-Parisi-Zhang (KPZ) equation. A new model is devised that shows early convergence to the KPZ dynamics. Various known conservative and non conservative models are tested on a one dimensional substrate by comparing the growth results with the exact KPZ and linear growth equation results. The comparison helps in establishing the condition that helps in determining the presence of finite size effect for the given model. The new model is used in 2+1 dimensions to predict close to the true value of roughness constant for KPZ equation.