ZETA-FUNCTION FOR THE LYAPUNOV EXPONENT OF A PRODUCT OF RANDOM MATRICES

被引：22

作者：

MAINIERI, R ^{[1
]}

机构：

[1] UNIV CALIF LOS ALAMOS SCI LAB,CTR NONLINEAR STUDIES,LOS ALAMOS,NM 87545

来源：

PHYSICAL REVIEW LETTERS | 1992年 / 68卷 / 13期

关键词：

D O I：

10.1103/PhysRevLett.68.1965

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A cycle expansion for the Lyapunov exponent of a product of random matrices is derived. The formula is nonperturbative and numerically effective, which allows the Lyapunov exponent to be computed to high accuracy. In particular, the free energy and the heat capacity are computed for the one-dimensional Ising model with quenched disorder. The formula is derived by using a Bernoulli dynamical system to mimic the randomness.

引用

页码：1965 / 1968

页数：4

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