In mathematics, the Kardar–Parisi–Zhang (KPZ) equation is a non-linear stochastic partial differential equation, introduced by Mehran Kardar, Giorgio Parisi, and Yi-Cheng Zhang in 1986.

All roads to the KPZ universality class • Leonid Petrov. Integrable Probability. [KPZ86] The seminal paper introducing the KPZ equation, which describes the evolution of a growing interface in terms of a stochastic PDE.

定义解的最简单方案，是像 (3.2) 那样定义KPZ方程的Hopf-Cole解。换句话说，在初始数据 e^{h(0,x)} 下求解SHE，对解 z(t,x) 取对数得到 h(t,x) 。事实证明，这是与物理有关的KPZ方程解的概念——它捕捉了所有的预期行为，在方程的各种近似方案中普遍出现。

2024年10月3日 · KPZ 方程用于动力学表面生长 [52] （定向的，没有悬垂） ，将 Edwards-Wilkinson (EW) 线性方程进行了推广。 在后者中，相对于具有位置 的d维基板，界面高度h的局部速度仅由局部弹性力和白热噪声决定。

2022年5月5日 · Motivated by recent advances in the realization of SU(N)-symmetric spin models in alkaline-earth-based optical lattice experiments, we propose and analyze a protocol to directly investigate the KPZ scaling function in such systems.

2011年6月8日 · This class is called the Kardar-Parisi-Zhang (KPZ) universality class and underlying it is, again, a continuum object -- a non-linear stochastic partial differential equation -- known as the KPZ equation.

INTRODUCTION TO KPZ 3 solutions can be written in terms of a classically well-posed stochastic partial di erential equation. So the main issue for these notes will be on the actual behaviour of solutions, the scaling exponents, and the large scale uctuation behaviour which is conjectured to be universal within what is called the KPZ ...

kpz动力学标度规律是非线性科学和统计物理中的一个重要理论成果。 它通过简洁而普适的数学模型描述了非平衡态系统中界面生长和粗糙化现象的统计性质。

摘要 本文首先介绍KPZ (Kardar-Parisi-Zhang)普适类的物理背景,其中, Eden模型、黏性落体模型和KPZ方程这几类物理模型将被提及;其次,将考察一维KPZ方程的Cole-Hopf解以及几类收敛到一维KP...

2025年2月5日 · 3D Model, Ratings, Equipment, Crews, Field modifications, Marks of excellence, Marks of mastery & WN8 for Kpz. Erich Konzept I