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This paper is devoted to the derivation of a macroscopic fractional diffusion equation describing heat transport in an anharmonic chain. More precisely, we study here the so-called FPU-$\beta$ chain, which is a very simple model for a…

Analysis of PDEs · Mathematics 2015-05-05 Antoine Mellet , Sara Merino-Aceituno

Thermal energy can be conducted by different mechanisms including by single particles or collective excitations. Thermal conductivity is system-specific and shows a richness of behaviors currently explored in different systems including…

Statistical Mechanics · Physics 2021-02-03 K. Trachenko , M. Baggioli , K. Behnia , V. V. Brazhkin

We systematically demonstrate the temperature-dependent thermal transport properties in crystalline Ge$_2$Sb$_2$Te$_5$via first-principles density functional theory-informed linearized Boltzmann transport equation. The investigation,…

Materials Science · Physics 2023-12-18 Kanka Ghosh , Andrzej Kusiak , Jean-Luc Battaglia

Phonon boundary scattering is typically treated using the Fuchs-Sondheimer theory, which assumes that phonons are thermalized to the local temperature at the boundary. However, whether such a thermalization process actually occurs and its…

Materials Science · Physics 2020-06-26 Navaneetha K. Ravichandran , Austin J. Minnich

Phonon engineering technology has opened up the functional thermal management of semiconductor-based classical and quantum electronics at the micro- and nanoscales. However, challenges have remained in designing accurate thermal…

Mesoscale and Nanoscale Physics · Physics 2025-09-17 Keita Funayama , Yuki Akura , Hiroya Tanaka , Jun Hirotani

We study the quantum thermal transport of elastic excitations through a two-dimensional elastic waveguide between two thermal reservoirs. We solve the classical Kirchhoff-Love equation for rectangular wires and explore the dispersion…

We study the non-equilibrium diffusion dynamics of supersonic lattice solitons in a classical chain of atoms with nearest-neighbor interactions coupled to a heat bath. As a specific example we choose an interaction with cubic anharmonicity.…

Soft Condensed Matter · Physics 2009-11-07 Edward Arevalo , Franz G. Mertens , Yuri Gaididei , A. R. Bishop

A unified understanding of interfacial thermal transport is missing due to the complicated nature of interfaces which involves complex factors such as interfacial bonding, interfacial mixing, surface chemistry, crystal orientation,…

In a previous publication, we discussed the formalism and some computational results for phononic thermal conduction in the suspended membrane geometry for radial heat flow from a central source, which is a common geometry for some…

Mesoscale and Nanoscale Physics · Physics 2014-10-15 Tuomas Puurtinen , Ilari Maasilta

Interest in high entropy alloy thermoelectric materials is predicated on achieving ultralow lattice thermal conductivity $\kappa\sub{L}$ through large compositional disorder. However, here we show that for a given mechanism, such as mass…

A recently developed enhanced Fourier law is applied to the problem of extracting thermal properties of materials from frequency-domain thermoreflectance (FDTR) experiments. The heat transfer model comprises contributions from two phonon…

Mesoscale and Nanoscale Physics · Physics 2015-08-24 Ashok T. Ramu , John E. Bowers

Phonon liquid-like thermal conduction in the solid state enables superionic conductors to serve as efficient thermoelectric device candidates. While liquid-like motion of ions effectively suppresses thermal conductivity (\kappa), their high…

In this paper thermal conductivity and thermal diffusivity of a two layer system is examined from the theoretical point of view. We use the one dimensional heat diffusion equation with the appropriate solution in each layer and boundary…

Condensed Matter · Physics 2009-10-28 G. Gonzalez de la Cruz , Yu. G. Gurevich

We consider contribution to the phonon scattering, in the temperature range of 1K, by the dislocation kinks pinned in the random stress fields in a crystal. The effect of electron-kink scattering on the thermal transport in the normal…

Strongly Correlated Electrons · Physics 2018-08-01 J. A. M. van Ostaay , S. I. Mukhin

We study the thermal conductivity of amorphous solids by constructing a continuum model whose degrees of freedom are propagating vibrational modes (phonons) and extended Volterra dislocation line defects with their own vibrational degrees…

Materials Science · Physics 2026-01-21 Fernando Lund , Bruno Scheihing-Hitschfeld

Anomalous thermal expansion behaviour of several open frame-work compounds has been extensively investigated using the techniques of inelastic neutron scattering and lattice dynamics. These compounds involve increasing level of structural…

Materials Science · Physics 2017-11-21 R. Mittal , M. K. Gupta , S. L. Chaplot

Non-diffusive thermal transport has gained extensive research interest recently due to its important implications on fundamental understanding of material phonon mean free path distributions and many nanoscale energy applications. In this…

Computational Physics · Physics 2017-01-03 Lei Ma , Riguo Mei , Mengmeng Liu , Xuxin Zhao , Qixing Wu , Hongyuan Sun

In this paper we present theoretical analysis of the electron transport in conducting polymers. We concentrate on the study of the effects of temperature on characteristics of the transport. We treat a conducting polymers in a metal state…

Materials Science · Physics 2008-10-23 Natalya A. Zimbovskaya

We here numerically investigate the heat transport behavior in a one-dimensional lattice with a soft-type (ST) anharmonic interparticle interaction. It is found that with the increase of system's temperature, while the introduction of ST…

Statistical Mechanics · Physics 2017-04-26 Daxing Xiong

The phonon thermal transport properties of eight ternary intermetallic semiconductors are investigated by accounting for higher-order four-phonon scattering, phonon renormalization, and multi-channel thermal transport. The commonly used…

Materials Science · Physics 2022-08-17 Ankit Jain
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