DIRECTED PATHS WITH RANDOM PHASES

被引：4

作者：

BLUM, T

GOLDSCHMIDT, YY

机构：

[1] Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh

来源：

NUCLEAR PHYSICS B | 1992年 / 380卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0550-3213(92)90260-I

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Directed Feynman paths in 1 + 1 dimensions that acquire random phases are examined numerically and analytically. This problem is relevant for the behavior of the conductance in two-dimensional amorphous insulators in the variable-range-hopping regime. Large-scale numerical simulations were performed on a model with short-range correlations. For the scaling of the transverse fluctuations (approximately t(nu)). we obtain nu = 0.68+/-0.025; and for the r.m.s. free-energy fluctuations (approximately t(omega)), we obtain omega = 0.335+/-0.01. Up to 100000 random samples were used for times as large as 2000. These results seem to exclude a recent conjecture that nu = 3/4 and omega = 1/2. Two versions of a model with long-range correlations are solved and shown to yield nu = 1/2; a physical explanation is given.

引用

页码：588 / 600

页数：13

共 25 条

[1] GROUND-STATE ENERGY FOR CHARGED BOSONS IN ONE DIMENSION [J].