Dynamic scaling of growing interfaces
Disordered Systems and Neural Networks
2025-07-14 v1 Mathematical Physics
math.MP
Probability
Cellular Automata and Lattice Gases
Exactly Solvable and Integrable Systems
Abstract
We give a brief overview of the seminal paper which introduced the Kardar-Parisi-Zhang equation as a paradigmatic model for random growth in 1986. We describe some of the developments to which it gave rise in mathematics and physics over the years, and some examples of applications.
Keywords
Cite
@article{arxiv.2507.08341,
title = {Dynamic scaling of growing interfaces},
author = {Pierre Le Doussal},
journal= {arXiv preprint arXiv:2507.08341},
year = {2025}
}
Comments
"Chapter of the book "From Quantum Fields to Spin Glasses - Seminal contributions of Giorgio Parisi to theoretical physics", Cambridge University Press , to appear", 25 pages, 6 figures