Work

Universal scaling relations for growth phenomena

Year: 2024

Type: article

Abstract: The Family–Vicsek (FV) relation is a seminal universal relation obtained for the global roughness at the interface of two media in the growth process. In this work, we revisit the scaling analysis and, through both analytical and computational means, show that the FV relation can be generalized to a new scaling independent of the size, substrate dimension d, and scaling exponents. We use the properties of lattice growth models in the Kardar–Parisi–Zhang and Villain–Lai–Das Sarma universality classes for 1 ⩽ d ⩽ 3 to support our claims.

Source: Journal of Statistical Mechanics Theory and Experiment

DOI: 10.1088/1742-5468/ad1d57

Authors: Evandro A Rodrigues, Edwin E Mozo Luis, Thiago A de Assis, Fernando A Oliveira

Institutions: Universidade de Brasília, Universidade Federal Fluminense, Universidade Federal da Bahia

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4391405702

FWCI: 1.302

Cites: 56

Cited by: 9

Related to: 10