IMPROVED BOUNDS FOR THE TRANSITION-TEMPERATURE OF DIRECTED POLYMERS IN A FINITE-DIMENSIONAL RANDOM MEDIUM

被引：27

作者：

EVANS, MR

DERRIDA, B

机构：

[1] Service de Physique Theorique, Laboratoire de la Direction des Sciences de la Matiere du, CE. Saclay, Gif-sur-Yvette Cedex

来源：

JOURNAL OF STATISTICAL PHYSICS | 1992年 / 69卷 / 1-2期

关键词：

DISORDER; RANDOM SYSTEMS; DIRECTED POLYMER; NONINTEGER MOMENTS OF THE PARTITION FUNCTION; BOUNDS;

D O I：

10.1007/BF01053800

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the problem of directed polymers in a random medium of a finite-dimensional lattice. In the high-temperature phase of this system it is known that the annealed and quenched free energies coincide. Upper bounds on the transition temperature to a low-temperature phase had previously been obtained by calculating the first two moments [Z] and [Z2] of the partition function. We improve these bounds by estimating noninteger moments [Z(alpha)] for 1 < alpha < 2.

引用

页码：427 / 437

页数：11

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