RIGOROUS DIFFUSION PROPERTIES FOR THE SAWTOOTH MAP

被引：11

作者：

BELLISSARD, J

VAIENTI, S

机构：

[1] Centre de Physique Theorique, C.N.R.S. Luminy, Marseille Cedex 9, F-13288

[2] Université de Provence, Marseille

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1992年 / 144卷 / 03期

关键词：

D O I：

10.1007/BF02099181

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We get a rigorous bound for the diffusion constant of the hamiltonian dynamical system generated by a sawtooth map on a cylinder. The momentum variable properly renormalized then behaves almost like a brownian motion in the limit of infinite coupling constants. The strategy of the proof is a rigorous reformulation of the Random Phase Approximation.

引用

页码：521 / 536

页数：16

共 32 条

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