KPZ UNIVERSALITY FOR KPZ

被引：5

作者：

Quastel, Jeremy ^{[1
]}

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 1L2, Canada

来源：

XVITH INTERNATIONAL CONGRESS ON MATHEMATICAL PHYSICS | 2010年

关键词：

Kardar-Parisi-Zhang equation; stochastic Burgers equation; scaling exponent; asymmetric simple exclusion; EQUATIONS;

D O I：

10.1142/9789814304634_0030

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Bertini and Giacomin [1] propose the logarithm h(t, x) = -log Z(t, x) of the solution stochastic heat equation as the solution to the Kardar-Parisi-Zhang equation. We survey recent work with Balazs and Seppalainen showing that various quantities have the conjectured dynamic scaling exponent z = 2/3. We also present a slightly different version of the computation in [1] suggesting that h solves a version with Wick-ordered nonlinearity.

引用

页码：401 / 405

页数：5

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