論文

査読有り 筆頭著者 最終著者 責任著者
2018年8月15日

An appetizer to modern developments on the Kardar–Parisi–Zhang universality class

Physica A: Statistical Mechanics and its Applications
  • Kazumasa A. Takeuchi

504
開始ページ
77
終了ページ
105
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1016/j.physa.2018.03.009
出版者・発行元
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.

リンク情報
DOI
https://doi.org/10.1016/j.physa.2018.03.009
ID情報
  • DOI : 10.1016/j.physa.2018.03.009
  • ISSN : 0378-4371
  • SCOPUS ID : 85044588713

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