2-DIMENSIONAL MAGNETOTRANSPORT ACCORDING TO THE CLASSICAL LORENTZ MODEL

被引：68

作者：

BOBYLEV, AV ^{[1
]}

MAAO, FA ^{[1
]}

HANSEN, A ^{[1
]}

HAUGE, EH ^{[1
]}

机构：

[1] RUSSIAN ACAD SCI,MV KELDYSH APPL MATH INST,MOSCOW 125047,RUSSIA

来源：

PHYSICAL REVIEW LETTERS | 1995年 / 75卷 / 02期

关键词：

D O I：

10.1103/PhysRevLett.75.197

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The classical Lorentz model for charged noninteracting point particles in a perpendicular magnetic field is reconsidered in 2D. We show that the standard Boltzmann equation is not valid for this model, even in the Grad limit. We construct a generalized Boltzmann equation which is, and solve the corresponding initial value problem exactly. The diffusion tensor follows. Away from the Grad limit a percolation problem arises. We study numerically its critical properties. © 1995 The American Physical Society.

引用

页码：197 / 200

页数：4

共 15 条

[1]

BEENAKKER CWJ, 1991, ADV RES APPLICATIONS, V44

[2]

BOBYLEV AV, IN PRESS

[3]

DENNIJS MPM, 1979, J PHYS A-MATH GEN, V12, P1857, DOI 10.1088/0305-4470/12/10/030

[4]

ERNST MH, 1971, PHYS LETT A, V34, P29

[5] APPLICATION OF LOGICAL TRANSPORT TO DETERMINE THE DIRECTED AND ISOTROPIC PERCOLATION THRESHOLDS [J].

HANSEN, A ;

ROUX, S .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (13) :L873-L878

[6] SOME REMARKS ON PERCOLATION [J].

HANSEN, A ;

HINRICHSEN, EL .

PHYSICA SCRIPTA, 1992, T44 :55-61

[7] NORMAL AND ABNORMAL DIFFUSION IN EHRENFESTS WIND-TREE MODEL [J].

HAUGE, EH ;

COHEN, EGD .

JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (03) :397-&

[8]

HAUGE EH, 1974, LECTURE NOTES PHYSIC, V31

[9]

Lorentz H. A., 1905, ARCH NEERL, V10, P336

[10] UNIVERSALITY AND CLUSTER STRUCTURES IN CONTINUUM MODELS OF PERCOLATION WITH 2 DIFFERENT RADIUS DISTRIBUTIONS [J].

LORENZ, B ;

ORGZALL, I ;

HEUER, HO .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (18) :4711-4722

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