Anomalous heat conduction in a 2d Frenkel-Kontorova lattice

被引：8

作者：

Barik, D. ^{[1
]}

机构：

[1] Indian Assoc Cultivat Sci, Kolkata 700032, W Bengal, India

来源：

EUROPEAN PHYSICAL JOURNAL B | 2007年 / 56卷 / 03期

关键词：

D O I：

10.1140/epjb/e2007-00113-8

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We show that in contrast to the 1d Frenkel-Kontorova (FK) chain known to obey the Fourier law of heat conduction and several 2d models which show logarithmic dependence of conductivity on system size, a scalar 2d FK lattice with commensurate structure exhibits anomalous heat conduction, whose thermal conductivity displays a power law behavior. The dependence of thermal gradient on bulk temperature and noise correlation is critically analyzed. A dynamical contribution to conductivity when the system attains a nonequilibrium steady state of thermal conduction has been identified.

引用

页码：229 / 234

页数：6

共 30 条

[1] Heat conduction in 2d harmonic lattices with on-site potential [J].

Barik, D. .

EUROPHYSICS LETTERS, 2006, 75 (01) :42-48

[2] Numerical simulation of transmission coefficient using c-number Langevin equation [J].

Barik, D ;

Bag, BC ;

Ray, DS .

JOURNAL OF CHEMICAL PHYSICS, 2003, 119 (24) :12973-12980

[3]

Bonetto F., 2000, MATH PHYS 2000

[4]

BRAUN O. M., 2004, TEXT MONOGR

[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] Asymmetric kinks: Stabilization by entropic forces [J].

Costantini, G ;

Marchesoni, F .

PHYSICAL REVIEW LETTERS, 2001, 87 (11) :art. no.-114102

[7] String ratchets: Ac driven asymmetric kinks [J].

Costantini, G. ;

Marchesoni, F. ;

Borromeo, M. .

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2002, 65 (05) :1-051103

[8]

Dhar A, 2001, PHYS REV LETT, V86, P5882, DOI 10.1103/PhysRevLett86.5882

[9] 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

[10] Finite thermal conductivity in 1D lattices [J].

Giardiná, C ;

Livi, R ;

Politi, A ;

Vassalli, M .

PHYSICAL REVIEW LETTERS, 2000, 84 (10) :2144-2147

← 1 2 3 →