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This paper consists of two parts. The first part proposes a new methodological framework within which the heat conductivity in 1D lattices can be studied. The total process of heat conductivity is decomposed into two contributions where the…

Chaotic Dynamics · Physics 2011-03-21 T. Yu. Astakhova , V. N. Likhachev , G. A. Vinogradov

We study heat conduction in one dimensional (1D) anharmonic lattices analytically and numerically by using an effective phonon theory. It is found that every effective phonon mode oscillates quasi-periodically. By weighting the power…

Statistical Mechanics · Physics 2009-11-11 Nianbei Li , Peiqing Tong , Baowen Li

This paper proposes a new methodological framework within which the heat conductance in 1D lattices can be studied. The total process of heat conductance is separated into two parts where the first one is the equilibrium process at equal…

Chaotic Dynamics · Physics 2010-06-10 T. Yu. Astakhova , V. N. Likhachev , G. A. Vinogradov

We propose a new one-dimensional lattice model with strong asymmetric interaction potential and investigate heat conduction in this model numerically. We find that Fourier law is obeyed. Based on the phonon theory, we find a new scattering…

Statistical Mechanics · Physics 2012-07-24 Haibin Li , Xiaotian Xin

We examine the temperature dependence of thermal conductivity of one dimensional nonlinear (anharmonic) lattices with and without on-site potential. It is found from computer simulation that the heat conductivity depends on temperature via…

Disordered Systems and Neural Networks · Physics 2007-05-23 Nianbei Li , Baowen Li

The temperature-dependent thermal conductivities of one-dimensional nonlinear Klein-Gordon lattices with soft on-site potential (soft-KG) have been investigated systematically. Similar to the previously studied hard-KG lattices, the…

Statistical Mechanics · Physics 2015-06-22 Linlin Yang , Nianbei Li , Baowen Li

The paper investigates non-stationary heat conduction in one-dimensional models with substrate potential. In order to establish universal characteristic properties of the process, we explore three different models --- Frenkel-Kontorova…

Statistical Mechanics · Physics 2015-05-30 O. V. Gendelman , R. Shvartsman , B. Madar , A. V. Savin

In this work we study the energy transport in a one-dimensional system composed of two dissimilar Frenkel-Kontorova lattices connected by a time-modulated coupling and in contact with two heat reservoirs operating at different temperature…

Statistical Mechanics · Physics 2021-03-03 M. Romero-Bastida

Heat transport in low-dimensional systems has attracted enormous attention from both theoretical and experimental aspects due to its significance to the perception of fundamental energy transport theory and its potential applications in the…

Chaotic Dynamics · Physics 2013-01-04 Nianbei Li , Baowen Li

Phonon scattering by electrons, or "phonon-electron scattering", has been recognized as a significant scattering channel for phonons in materials with high electron concentration, such as thermoelectrics and nanoelectronics, even at room…

Materials Science · Physics 2019-09-11 Sheng-Ying Yue , Runqing Yang , Bolin Liao

Phonon surface scattering has been at the core of heat transport engineering in nanoscale structures and devices. Herein, we demonstrate that this phonon pathway can be the sole mechanism only below a characteristic, size-dependent…

In the present communication we consider the one-dimensional (1D) isotopically disordered lattice with the harmonic potential. Our analytical method is adequate for any 1D lattice where potential energy can be presented as the quadratic…

Disordered Systems and Neural Networks · Physics 2007-05-23 Vladimir N. Likhachev , Juraj Szavits-Nossan , George A. Vinogradov

Heat conduction through the Frenkel-Kontorova (FK) lattices is numerically investigated in the presence of a deformable substrate potential. It is found that the deformation of the substrate potential has a strong influence on heat…

Statistical Mechanics · Physics 2011-02-02 Bao-quan Ai , Bambi Hu

Two aspects of conductive heat are focused here (i) the nature of conductive heat, defined as that form of energy that is transferred as a result of a temperature difference and (ii) the nature of the intermolecular potentials that induces…

General Physics · Physics 2016-08-08 Christopher Gunaseelan Jesudason

Monolayer hexagonal boron nitride is a prototypical planar 2-dimensional system material and has been the subject of many investigations of its exceptional vibrational, spectroscopic and transport properties. The lattice thermal…

Materials Science · Physics 2025-06-18 José Pedro Alvarinhas Batista , Matthieu J. Verstraete , Aloïs Castellano

This paper gives a 2D hamonic lattices model with missing bond defects, when the capacity ratio of defects is enough large, the temperature gradient can be formed and the finite heat conduction is found in the model. The defects in the 2D…

Chaotic Dynamics · Physics 2009-11-07 Lei Yang , Yang Kongqing

We study numerically the thermal conductivity in several different one dimensional chains. We show that the phonon-lattice interaction is the main ingredient of the Fourier heat law. Our argument provides a rather satisfactory explanation…

Statistical Mechanics · Physics 2009-10-30 Bambi Hu , Baowen LI , Hong Zhao

A heat conduction equation on a lattice composed of nodes and bonds is formulated assuming the Fourier law and the energy conservation law. Based on this equation, we propose a higher-order topological heat conduction model on the breathing…

Mesoscale and Nanoscale Physics · Physics 2023-08-09 T. Fukui , T. Yoshida , Y. Hatsugai

We discuss the thermal conductivity of a chain of coupled rotators, showing that it is the first example of a 1d nonlinear lattice exhibiting normal transport properties in the absence of an on-site potential. Numerical estimates obtained…

chao-dyn · Physics 2009-10-31 C. Giardina' , R. Livi , A. Politi , M. Vassalli

Two-dimensional gallium nitride (2D-GaN) has great potential in power electronics and optoelectronics. Heat dissipation is a critical issue for these applications of 2D-GaN. Previous studies showed that higher-order phonon-phonon scattering…

Materials Science · Physics 2024-03-12 Jianshi Sun , Xiangjun Liu , Yucheng Xiong , Yuhang Yao , Xiaolong Yang , Cheng Shao , Shouhang Li
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