Heat conductivity in linear mixing systems

被引：52

作者：

Li, BW ^{[1
]}

Casati, G

Wang, J

机构：

[1] Natl Univ Singapore, Dept Phys, Singapore 117542, Singapore

[2] Univ Insubria, Ctr Nonlinear & Complex Syst, I-22100 Como, Italy

[3] Ist Nazl Fis Mat, Unita Como, Como, Italy

[4] Ist Nazl Fis Nucl, Sez Milano, I-20133 Milan, Italy

[5] Natl Univ Singapore, Temasek Lab, Singapore 119260, Singapore

来源：

PHYSICAL REVIEW E | 2003年 / 67卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.67.021204

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We present analytical and numerical results on the heat conduction in a linear mixing system. In particular we consider a quasi-one-dimensional channel with triangular scatterers with internal angles which are irrational multiples of pi, and we show that the system obeys the Fourier law of heat conduction. Therefore, deterministic diffusion and normal heat transport which are usually associated with full hyperbolicity, actually take place in systems without exponential instability.

引用

页数：4

共 29 条

[1] Heat conductivity and dynamical instability [J].

Alonso, D ;

Artuso, R ;

Casati, G ;

Guarneri, I .

PHYSICAL REVIEW LETTERS, 1999, 82 (09) :1859-1862

[2] Fermi-Pasta-Ulam β model:: Boundary jumps, Fourier's law, and scaling [J].

Aoki, K ;

Kusnezov, D .

PHYSICAL REVIEW LETTERS, 2001, 86 (18) :4029-4032

[3]

Bonetto F., 2000, MATH PHYS 2000, P128, DOI [DOI 10.1142/9781848160224_0008, 10.1142/9781848160224_0008.]

[4] Triangle map: A model of quantum chaos [J].

Casati, G ;

Prosen, T .

PHYSICAL REVIEW LETTERS, 2000, 85 (20) :4261-4264

[5] ONE-DIMENSIONAL CLASSICAL MANY-BODY SYSTEM HAVING A NORMAL THERMAL-CONDUCTIVITY [J].

CASATI, G ;

FORD, J ;

VIVALDI, F ;

VISSCHER, WM .

PHYSICAL REVIEW LETTERS, 1984, 52 (21) :1861-1864

[6] Mixing property of triangular billiards [J].

Casati, G ;

Prosen, T .

PHYSICAL REVIEW LETTERS, 1999, 83 (23) :4729-4732

[7] Anomalous heat conduction in a one-dimensional ideal gas [J].

Casati, G ;

Prosen, T .

PHYSICAL REVIEW E, 2003, 67 (01) :4

[8] Heat conduction in a one-dimensional gas of elastically colliding particles of unequal masses [J].

Dhar, A .

PHYSICAL REVIEW LETTERS, 2001, 86 (16) :3554-3557

[9] Absence of local thermal equilibrium in two models of heat conduction [J].

Dhar, A ;

Dhar, D .

PHYSICAL REVIEW LETTERS, 1999, 82 (03) :480-483

[10] Energy transport between two attractors connected by a Fermi-Pasta-Ulam chain [J].

Fillipov, A ;

Hu, B ;

Li, BW ;

Zeltser, A .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (38) :7719-7728

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