title: Multiscale random-walk algorithm for simulating interfacial pattern formation.
abstract: We present a novel computational method to simulate accurately a wide range of interfacial patterns whose growth is limited by a large-scale diffusion field. To illustrate the computational power of this method, we demonstrate that it can be used to simulate three-dimensional dendritic growth in a previously unreachable range of low undercoolings that is of direct experimental relevance.
authors.affiliation: Physics Department and Center for Interdisciplinary Research on Complex Systems, Northeastern University, Boston, Massachusetts 02115, USA.
authors.forename: M
authors.initials: M
authors.lastname: Plapp
authors.forename: A
authors.initials: A
authors.lastname: Karma
mesh_terms: D000465:Algorithms; D048429:Cell Size; D003198:Computer Simulation; D003460:Crystallization; D003712:Dendrites / Q000502:physiology; D004058:Diffusion; D012680:Sensitivity and Specificity; D013997:Time Factors