Dynamic scaling of growing interfaces
Pierre Le Doussal
TL;DR
This paper reviews the Kardar-Parisi-Zhang equation, a fundamental model for understanding random growth processes, highlighting its historical development, mathematical significance, and diverse applications.
Contribution
It provides an overview of the KPZ equation's impact and evolution since its inception in 1986, emphasizing its role in growth interface modeling.
Findings
KPZ equation introduced as a key model for interface growth
Significant mathematical and physical developments inspired by KPZ
Various applications across disciplines
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.
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