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The amorphous solids can be theoretically modeled by anharmonic disordered lattices. However, most of theoretical studies on thermal conductivity in anharmonic disordered lattices only focus on the potentials of hard-type (HT)…

统计力学 · 物理学 2023-03-16 Jianjin Wang , Chi Xiong , Daxing Xiong

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…

无序系统与神经网络 · 物理学 2007-05-23 Vladimir N. Likhachev , Juraj Szavits-Nossan , George A. Vinogradov

In a recent paper [Phys. Rev. Lett. 86, 63 (2001)], Li et al have reported that the nonequilibrium heat conducting steady state of a disordered harmonic chain is not unique. In this comment we point out that for a large class of stochastic…

统计力学 · 物理学 2009-11-07 Abhishek Dhar

We study the thermal conductivity, at fixed positive temperature, of a disordered lattice of harmonic oscillators, weakly coupled to each other through anharmonic potentials. The interaction is controlled by a small parameter $\epsilon >…

统计力学 · 物理学 2015-06-04 François Huveneers

Numerical calculations of lattice thermal conductivity are reported for the binary alloys NiPd and NiPt. The present work is a continuation of an earlier paper by us [PRB, 72, 214207 (2005)]which had developed a theoretical framework for…

材料科学 · 物理学 2013-12-25 Aftab Alam , Abhijit Mookerjee

We explore transport properties in a disordered nonlinear chain of classical harmonic oscillators and thereby identify a regime exhibiting behavior analogous to that seen in quantum many-body-localized systems. Through extensive numerical…

统计力学 · 物理学 2020-08-26 Manoj Kumar , Anupam Kundu , Manas Kulkarni , David A. Huse , Abhishek Dhar

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…

无序系统与神经网络 · 物理学 2007-05-23 Nianbei Li , Baowen Li

We consider heat transport in one-dimensional harmonic chains attached at its ends to Langevin heat baths. The harmonic chain has mass impurities where the separation $d$ between any two successive impurities is randomly distributed…

无序系统与神经网络 · 物理学 2019-11-05 I. F. Herrera-Gonzalez , J. A. Mendez-Bermudez

We study the thermal conductivity of the one dimensional Toda lattice perturbed by a stochastic dynamics preserving energy and momentum. The strength of the stochastic noise is controlled by a parameter $\gamma$. We show that heat transport…

统计力学 · 物理学 2015-05-14 Alessandra Iacobucci , Frederic Legoll , Stefano Olla , Gabriel Stoltz

We study the thermal properties of a pinned disordered harmonic chain weakly perturbed by a noise and an anharmonic potential. The noise is controlled by a parameter $\lambda \rightarrow 0$, and the anharmonicity by a parameter $\lambda'…

数学物理 · 物理学 2013-10-08 Cédric Bernardin , François Huveneers

We present computational data on the thermal conductivity of nonlinear waves in disordered chains. Disorder induces Anderson localization for linear waves and results in a vanishing conductivity. Cubic nonlinearity restores normal…

统计力学 · 物理学 2015-05-27 Sergej Flach , Mikhail Ivanchenko , Nianbei Li

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…

混沌动力学 · 物理学 2009-11-07 Lei Yang , Yang Kongqing

We study the thermal transport properties of several quantum spin chains and ladders. We find indications for a diverging thermal conductivity at finite temperatures for the models examined. The temperature at which the non-diverging…

强关联电子 · 物理学 2009-11-07 J. V. Alvarez , Claudius Gros

We show that for one dimensional systems with momentum conservation, the thermal conductivity $\kappa$ generically diverges with system size as $L^{1/3}.$

统计力学 · 物理学 2009-11-07 Onuttom Narayan , Sriram Ramaswamy

In this work we investigate heat conduction along a ladder-model conformed by two coupled one dimensional lattices with different anharmonicity. We study how the interchain coupling modifies the thermal properties of the isolated systems.…

统计力学 · 物理学 2011-03-18 E. Diaz , R. Gutierrez , G. Cuniberti

We investigate the role of the quartic anharmonicity in lattice dynamics and thermal transport of type-I clathrate Ba$_{8}$Ga$_{16}$Ge$_{30}$ based on \textit{ab initio} self-consistent phonon calculations. We show that the strong quartic…

材料科学 · 物理学 2018-03-13 Terumasa Tadano , Shinji Tsuneyuki

The problem of the diverging thermal conductivity in one-dimensional (1-D) lattices is considered. By numerical simulations, it is confirmed that the thermal conductivity of the diatomic Toda lattice diverges, which is opposite to what one…

统计力学 · 物理学 2007-05-23 Takahiro Hatano

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…

混沌动力学 · 物理学 2010-06-10 T. Yu. Astakhova , V. N. Likhachev , G. A. Vinogradov

We study the thermal conduction behaviors of one-dimensional lattice models with asymmetry harmonic interparticle interactions in this paper. Normal thermal conductivity independent of the system size is observed when the lattice chains are…

统计力学 · 物理学 2015-11-03 Yi Zhong , Yong Zhang , Jiao Wang , Hong Zhao

In one and two dimensions, transport coefficients may diverge in the thermodynamic limit due to long--time correlation of the corresponding currents. The effective asymptotic behaviour is addressed with reference to the problem of heat…

统计力学 · 物理学 2009-11-10 Stefano Lepri , Roberto Livi , Antonio Politi
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