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

[11]

MDINA E, 1991, PHYS REV LETT, V66, P2176

[12] BURGERS-EQUATION WITH CORRELATED NOISE - RENORMALIZATION-GROUP ANALYSIS AND APPLICATIONS TO DIRECTED POLYMERS AND INTERFACE GROWTH [J].

MEDINA, E ;

HWA, T ;

KARDAR, M ;

ZHANG, YC .

PHYSICAL REVIEW A, 1989, 39 (06) :3053-3075

[13] MAGNETIC-FIELD EFFECTS ON STRONGLY LOCALIZED-ELECTRONS [J].

MEDINA, E ;

KARDAR, M ;

SHAPIR, Y ;

WANG, XR .

PHYSICAL REVIEW LETTERS, 1990, 64 (15) :1816-1819

[14] INTERFERENCE OF DIRECTED PATHS IN DISORDERED-SYSTEMS [J].

MEDINA, E ;

KARDAR, M ;

SHAPIR, Y ;

WANG, XR .

PHYSICAL REVIEW LETTERS, 1989, 62 (08) :941-944

[15] ON THE GLASSY NATURE OF RANDOM DIRECTED POLYMERS IN 2 DIMENSIONS [J].

MEZARD, M .

JOURNAL DE PHYSIQUE, 1990, 51 (17) :1831-1846

[16]

NGUYEN VL, 1985, JETP LETT+, V41, P42

[17]

NGUYEN VL, 1985, ZH EKSP TEOR FIZ, V62, P1021

[18]

PAISI G, 1990, P ACAD NAZ LINCEI, V11, P3

[19] THERMAL FLUCTUATIONS IN SOME RANDOM FIELD MODELS [J].

SCHULZ, U ;

VILLAIN, J ;

BREZIN, E ;

ORLAND, H .

JOURNAL OF STATISTICAL PHYSICS, 1988, 51 (1-2) :1-27

[20]

Shapir Y., 1990, Modern Physics Letters B, V4, P1301, DOI 10.1142/S0217984990001641

← 1 2 3 →