Ballistic deposition with memory: A new universality class of surface growth with a new scaling law
Year: 2024
Type: article
Abstract: Motivated by recent experimental studies in microbiology, we suggest modifying the classic ballistic deposition model of surface growth, where the memory of a deposition at a site induces more depositions at that site or its neighbors. By studying the statistics of surfaces in this model, we obtain three independent critical exponents: the growth exponent β = 5 / 4 , the roughening exponent α = 2 , and the new (size) exponent γ = 1 / 2 . The model requires modifying the Family-Vicsek scaling, resulting in the dynamical exponent z = α + γ β = 2 . This modified scaling collapses the surface width vs time curves for various lattice sizes. This previously unobserved universality class of surface growth could describe the surface properties of a wide range of natural systems. Published by the American Physical Society 2024
Source: Physical Review Research
Authors: Ahmed Roman, Ruomin Zhu, Ilya Nemenman
Institutions: Emory University, The University of Sydney
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,625
OpenAlex ID: W4402269545