2020/02/18 by P. O. Mchedlov-Petrosyan, Mchedlov-Petrosyan, P. O., Л. Н. Давыдов +2 · 1 citation
Earth and Planetary Sciences · Engineering · Materials Science · Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Fluid Dynamics and Thin Films #Materials Science (cond-mat.mtrl-sci) #Solidification and crystal growth phenomena #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.mtrl-sci #cond-mat.stat-mech #nanoparticles nucleation surface interactions #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.2002.08747
arXiv admin note: substantial text overlap with arXiv:2002.07597
arxiv created 2020/02/18 · openalex publication_date 2020/02/18 · arxiv updated 2020/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently the combination of the well-known Cahn-Hilliard and Allen-Cahn equations was used to describe surface processes, such as simultaneous adsorption/desorption and surface diffusion. In the present paper we have considered the one-dimensional version of the Cahn-Hilliard/Allen-Cahn equation complemented with convective and viscous terms. Exact solutions are obtained and the conditions of their existence as well as the influence of applied field and additional dissipation are discussed.