Thermal conductivity of anharmonic crystals with self-consistent baths: Analytical computation with discrete time

被引：12

作者：

Pereira, Emmanuel ^{[1
]}

Falcao, Ricardo ^{[2
]}

Lemos, Humberto C. F. ^{[2
]}

机构：

[1] Univ Fed Minas Gerais, Dept Fis, Inst Ciencias Exatas, BR-30161970 Belo Horizonte, MG, Brazil

[2] Univ Fed Sao Joao del Rei, Dept Fis & Matemat, BR-36420000 Ouro Branco, MG, Brazil

来源：

PHYSICAL REVIEW E | 2013年 / 87卷 / 03期

关键词：

FOURIERS LAW; TRANSPORT;

D O I：

10.1103/PhysRevE.87.032158

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 analytically compute the thermal conductivity of anharmonic crystals with self-consistent stochastic reservoirs. We develop an integral representation for the heat current, assume the approximation of discrete times, and in a perturbative analysis that is rigorously supported by a convergent cluster expansion compute the thermal conductivity for a chain with quartic anharmonic on-site potential. In the high anharmonicity regime, the result for the dependence of the conductivity on temperature is the same as for the system without inner reservoirs. The presented formalism is quite general and is also valid for inhomogeneous systems in any space dimension. DOI: 10.1103/PhysRevE.87.032158

引用

下载

页数：5

共 50 条

[21] SELF-CONSISTENT PHONONS IN FERROMAGNETIC CRYSTALS
KONWENT, H
PLAKIDA, NM
ACTA PHYSICA POLONICA A, 1975, 47 (05) : 589 - 604
[22] The effect of finite-temperature and anharmonic lattice dynamics on the thermal conductivity of ZrS2 monolayer: self-consistent phonon calculations
Pandit, Abhiyan
Hamad, Bothina
JOURNAL OF PHYSICS-CONDENSED MATTER, 2021, 33 (42)
[23] ON THE COMPUTATION OF STEADY, SELF-CONSISTENT SPHERICAL DYNAMOS
FEARN, DR
PROCTOR, MRE
GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, 1987, 38 (04): : 293 - 325
[24] SELF-CONSISTENT COMPUTATION OF SPONTANEOUSLY GENERATED MASS
FLEMING, H
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1978, 46 (02): : 246 - 252
[25] THEORY OF THERMAL-CONDUCTIVITY OF ANHARMONIC CRYSTALS
WILSON, RS
KIM, SK
PHYSICAL REVIEW B, 1973, 7 (10): : 4674 - 4677
[26] Computation of the chemical potential in a self-consistent approximation
Vompe, AG
Martynov, GA
ZHURNAL FIZICHESKOI KHIMII, 1996, 70 (05): : 830 - 835
[27] THEORY OF THERMAL-CONDUCTIVITY OF ANHARMONIC CRYSTALS
WILSON, RS
KIM, SK
BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1973, 18 (01): : 13 - 14
[28] Self-consistent computation of non-linear photonic crystals band structures.
Vigneron, JP
Lousse, V
CLEO(R)/PACIFIC RIM 2001, VOL II, TECHNICAL DIGEST, 2001, : 342 - 343
[29] Self-Consistent Anharmonic Theory and Its Application to Ferroelectric Crystal
Aikawa, Yutaka
Iwazaki, Yoshio
Sakashita, Tatsuo
Suzuki, Toshimasa
FERROELECTRICS, 2009, 378 : 8 - 15
[30] Self-consistent parameter for the Hill determinant: Quartic anharmonic oscillator
Rath, B
Patnaik, K
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1997, 112 (06): : 923 - 926

← 1 2 3 4 5 →