Dynamic scaling of growing interfaces

2025/07/11 by Doussal, Pierre Le · 1 citation
#Cellular Automata and Lattice Gases (nlin.CG) #Disordered Systems and Neural Networks (cond-mat.dis-nn) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)

paper · doi:10.48550/arxiv.2507.08341

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.

Citations

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Cited by

• Martin Boundary and Invariant Fields of Multiplicative SHE

Related

• Microscopic derivation of Kardar-Parisi-Zhang Equation
• Dynamic Scaling of Non-Euclidean Interfaces
• Exponents and front fluctuations in the quenched Kardar-Parisi-Zhang universality class of one- and two- dimensional interfaces
• Finite-time scaling for kinetic rough interfaces
• Kardar-Parisi-Zhang Equation And Its Critical Exponents Through Local Slope-Like Fluctuations