The two-dimensional stochastic heat equation: renormalizing a multiplicative noise

被引：29

作者：

Bertini, L

Cancrini, N

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2BZ, England

[2] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

[3] Ecole Polytech, Ctr Phys Theor, F-91128 Palaiseau, France

[4] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 02期

关键词：

D O I：

10.1088/0305-4470/31/2/019

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study, in two space dimensions,the heat equation with a random potential that is a white noise in space and time. We introduce a regularization of the noise and prove that, by a suitable renormalization of the coupling coefficient, the covariance has a non-trivial limit when the regularization is removed. The limit is described in terms of a two-body Schrodinger operator with singular interaction.

引用

页码：615 / 622

页数：8

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