Aug 15, 2018
An appetizer to modern developments on the Kardar–Parisi–Zhang universality class
Physica A: Statistical Mechanics and its Applications
- Volume
- 504
- Number
- First page
- 77
- Last page
- 105
- Language
- English
- Publishing type
- Research paper (scientific journal)
- DOI
- 10.1016/j.physa.2018.03.009
- Publisher
- Elsevier B.V.
The Kardar–Parisi–Zhang (KPZ) universality class describes a broad range of non-equilibrium fluctuations, including those of growing interfaces, directed polymers and particle transport, to name but a few. Since the year 2000, our understanding of the one-dimensional KPZ class has been completely renewed by mathematical physics approaches based on exact solutions. Mathematical physics has played a central role since then, leading to a myriad of new developments, but their implications are clearly not limited to mathematics — as a matter of fact, it can also be studied experimentally. The aim of these lecture notes is to provide an introduction to the field that is accessible to non-specialists, reviewing basic properties of the KPZ class and highlighting main physical outcomes of mathematical developments since the year 2000. It is written in a brief and self-contained manner, with emphasis put on physical intuitions and implications, while only a small (and mostly not the latest) fraction of mathematical developments could be covered. Liquid-crystal experiments by the author and coworkers are also reviewed.
- Link information
- ID information
-
- DOI : 10.1016/j.physa.2018.03.009
- ISSN : 0378-4371
- SCOPUS ID : 85044588713