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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 realization of single-molecule thermal conductance measurements has driven the need for theoretical tools to describe conduction processes that occur over atomistic length scales. In macroscale systems, the principle that is typically…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Galen T. Craven , Abraham Nitzan

Thermal conductivity is a fundamental material property but challenging to predict, with less than 5% out of about $10^5$ synthesized inorganic materials being documented. In this work, we extract the structural chemistry that governs…

Materials Science · Physics 2020-06-23 Taishan Zhu , Sheng Gong , Tian Xie , Prashun Gorai , Jeffrey C. Grossman

We consider a d-dimensional harmonic crystal in contact with a stochastic Langevin type heat bath at each site. The temperatures of the "exterior" left and right heat baths are at specified values T_L and T_R, respectively, while the…

Mathematical Physics · Physics 2007-05-23 Federico Bonetto , Joel L. Lebowitz , Jani Lukkarinen

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 irrational multiples of pi and we show…

Statistical Mechanics · Physics 2009-11-07 Baowen Li , Giulio Casati , Jiao Wang

In crystalline materials, low lattice thermal conductivity is often associated with strong anharmonicity, which can cause significant deviations from the expected Lorentzian lineshape of phonon spectral functions. These deviations,…

Materials Science · Physics 2025-03-20 Đorđe Dangić , Giovanni Caldarelli , Raffaello Bianco , Ivana Savić , Ion Errea

We investigate the steady state heat current in two and three dimensional isotopically disordered harmonic lattices. Using localization theory as well as kinetic theory we estimate the system size dependence of the current. These estimates…

Disordered Systems and Neural Networks · Physics 2010-07-13 Anupam Kundu , Abhishek Chaudhuri , Dibyendu Roy , Abhishek Dhar , Joel L. Lebowitz , Herbert Spohn

We study heat conduction and diffusion in silicon nanowires (SiNWs) systematically by using non-equilibrium molecular dynamics. It is found that the thermal conductivity of SiNWs diverges with the length, even when the length is up to 1,100…

Materials Science · Physics 2010-02-19 Nuo Yang , Gang Zhang , Baowen Li

Understanding lattice dynamics and thermal transport in crystalline compounds with intrinsically low lattice thermal conductivity ($\kappa_L$) is crucial in condensed matter physics. In this work, we investigate the lattice thermal…

Materials Science · Physics 2025-02-26 Jincheng Yue , Yanhui Liu , Jiongzhi Zheng

An ultralow lattice thermal conductivity of 0.14 W$\cdot$ m$^{-1} \cdot$ K$^{-1}$ along the $\vec b$ axis of As$_2$Se$_3$ single crystals was obtained at 300 K by first-principles calculations involving the density functional theory and the…

Materials Science · Physics 2017-12-18 Robert L. González-Romero , Alex Antonelli , Anderson S. Chaves , Juan J. Meléndez

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…

Statistical Mechanics · Physics 2009-11-10 Stefano Lepri , Roberto Livi , Antonio Politi

Engineering thermal transport in two dimensional materials, alloys and heterostructures is critical for the design of next-generation flexible optoelectronic and energy harvesting devices. Direct experimental characterization of lattice…

Materials Science · Physics 2021-02-22 Aravind Krishnamoorthy , Nitish Baradwaj , Aiichiro Nakano , Rajiv K. Kalia , Priya Vashishta

We derive Fourier's law for a completely coherent quasi one--dimensional chaotic quantum system coupled locally to two heat baths at different temperatures. We solve the master equation to first order in the temperature difference. We show…

Quantum Physics · Physics 2015-05-20 Thomas H. Seligman , Hans A. Weidenmueller

We study anomalous heat conduction and anomalous diffusion in low dimensional systems ranging from nonlinear lattices, single walled carbon nanotubes, to billiard gas channels. We find that in all discussed systems, the anomalous heat…

Statistical Mechanics · Physics 2009-11-10 Baowen Li , Jiao Wang , Lei Wang , Gang Zhang

We propose an ensemble theory for the non-equilibrium statistics to study the thermal transport in anharmonic crystals. In the theory, lattice vibrations of the crystals are quantized by local Bosons(LBs), instead of Phonons as usually used…

Statistical Mechanics · Physics 2023-12-15 Li Wan

We study the Hamiltonian system made of weakly coupled anharmonic oscillators arranged on a three dimensional lattice and subjected to a stochastic forcing mimicking heat baths of temperatures T_1 and T_2 on the hyperplanes at x_1=0 and N.…

Mathematical Physics · Physics 2007-05-23 Jean Bricmont , Antti Kupiainen

The lattice thermal conductivity of the candidate thermoelectric material Mg$_3$Sb$_2$ is studied from first principles, with the inclusion of anharmonic, isotope, and boundary scattering processes, and via an accurate solution of the…

Materials Science · Physics 2018-12-11 Maria Barbara Maccioni , Roberta Farris , Vincenzo Fiorentini

In this paper, a multiple-relaxation-time lattice Boltzmann model with an off-diagonal collision matrix was adopted to predict the effective thermal conductivities of the anisotropic heterogeneous materials whose components are also…

Computational Physics · Physics 2015-03-31 Wen-Zhen Fang , Jian-Jun Gou , Hu Zhang , Li Chen , Wen-Quan Tao

Thermodynamic properties of the spinless Falicov-Kimball model are studied on a triangular lattice using numerical diagonalization technique with Monte-Carlo simulation algorithm. Discontinuous metal-insulator transition is observed at…

Strongly Correlated Electrons · Physics 2011-12-16 Umesh K. Yadav , T. Maitra , Ishwar Singh

Using nonequilibrium and equilibrium molecular dynamics simulations, we investigate heat conduction in a momentum-conserving mesoscopic fluid modeled by multiparticle collision dynamics. Across quasi-two-dimensional (q-2D) to…

Statistical Mechanics · Physics 2026-04-16 Rongxiang Luo , Jiaqi Wen , Juncheng Guo