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Interfaces impede heat flow in micro/nanostructured systems. Conventional theories for interfacial thermal transport were derived based on bulk phonon properties of the materials making up the interface without explicitly considering the…

Phonons are the main heat carriers in semiconductor devices. In small devices, heat is not driven by a local temperature gradient, but by local points of heat input and removal. This complicates theoretical modeling. Study of the…

Other Condensed Matter · Physics 2022-04-27 Philip B. Allen , Nhat Ahn Nghiem Vu

Controlling heat flow at the nanoscales is pivotal to several applications, including thermal energy harvesting and heat management. However, engineering nanostructures is challenging because phonon-boundary interaction, not contemplated by…

Materials Science · Physics 2021-06-08 Giuseppe Romano

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

Hotspot is a ubiquitous phenomenon in microdevices/chips. In homogeneous nanoscale graphene disk with a hotspot, a graded thermal conductivity is observed previously even when the system size is fixed. However, the underlying physical…

Mesoscale and Nanoscale Physics · Physics 2021-08-05 Chuang Zhang , Dengke Ma , Manyu Shang , Xiao Wan , JingTao Lü , Zhaoli Guo , Baowen Li , Nuo Yang

The direct simulation of the dynamics of second sound in graphitic materials remains a challenging task due to lack of methodology for solving the phonon Boltzmann equation in such a stiff hydrodynamic regime. In this work, we aim to tackle…

Computational Physics · Physics 2019-10-09 Xiao-Ping Luo , Yang-Yu Guo , Mo-Ran Wang , Hong-Liang Yi

In this work, a lattice Boltzmann scheme is developed for numerical solution of the phonon Boltzmann equation under Callaway's dual relaxation model in the hydrodynamic limit. Through a Chapman-Enskog expansion to the lattice Boltzmann…

Computational Physics · Physics 2020-10-06 Yangyu Guo , Moran Wang

The impact of dispersion relations, anisotropy, and Brillouin zone structure on intrinsic phonon scattering rates has been assessed within the harmonic approximation-perturbation theory approach for lattice dynamics. Anisotropic nonlinear…

Materials Science · Physics 2022-06-15 Ahmed Hamed , Anter El-Azab

For a thermal conductivity that is spatially uniform and independent of temperature, Fourier's law of heat transfer predicts a curl-free heat-flux. In the quasi-ballistic phonon transport regime, where the Fourier law breaks down, it has…

Mesoscale and Nanoscale Physics · Physics 2016-02-02 Ashok T. Ramu , Carl D. Meinhart , John E. Bowers

The traditional picture of heat transfer in solids by atomic vibrations, also known as phonons, involves phonons scattering with each other like gas particles and is commonly referred to as the phonon gas model (PGM). This physical picture…

Materials Science · Physics 2021-08-11 Andrew Rohskopf , Ruiyang Li , Tengfei Luo , Asegun Henry

The impact of boundary scattering on non-diffusive thermal relaxation of a transient grating in thin membranes is rigorously analyzed using the multidimensional phonon Boltzmann equation. The gray Boltzmann simulation results indicate that…

The untapped potential of thermal metamaterials requires the simultaneous observation of both diffusive and wave-like heat propagation across multiple length scales that can only be realised through theories beyond Fourier. Here, we…

Materials Science · Physics 2025-08-06 Harry Mclean , Francis Huw Davies , Ned Thaddeus Taylor , Steven Paul Hepplestone

Phonon transport of recently-fabricated $\mathrm{Na_2He}$ at high pressure is investigated from a combination of first-principles calculations and the linearized phonon Boltzmann equation within the single-mode relaxation time approximation…

Materials Science · Physics 2017-05-24 San-Dong Guo , Ai-Xia Zhang

Thermal management is extremely important for designing high-performance devices. The lattice thermal conductivity of materials is strongly dependent on the structural defects at different length scales, particularly point defects like…

Materials Science · Physics 2021-02-24 Yandong Sun , Yanguang Zhou , Ming Hu , G. Jeffrey Snyder , Ben Xu , Wei Liu

Exotic nondiffusive heat transfer regimes such as the second sound, where heat propagates as a damped wave at speeds comparable to those of mechanical disturbances, often occur at cryogenic temperatures (T) and nanosecond timescales in…

Materials Science · Physics 2025-02-04 Nikhil Malviya , Navaneetha K. Ravichandran

A discovery of the unusual thermal properties of graphene stimulated experimental, theoretical and computational research directed at understanding phonon transport and thermal conduction in two-dimensional material systems. We provide a…

Materials Science · Physics 2017-02-16 Denis L. Nika , Alexander A. Balandin

Using a generalized Langevin equation of motion, quantum ballistic thermal transport is obtained from classical molecular dynamics. This is possible because the heat baths are represented by random noises obeying quantum Bose-Einstein…

Statistical Mechanics · Physics 2007-10-16 Jian-Sheng Wang

Recently, a pump beam size dependence of thermal conductivity was observed in Si at cryogenic temperatures using time-domain thermal reflectance (TDTR). These observations were attributed to quasiballistic phonon transport, but the…

Materials Science · Physics 2015-06-18 D. Ding , X. Chen , A. J. Minnich

Previous studies have suggested a crossover from superdiffusive to normal heat transport in one-dimensional (1D) anharmonic oscillator systems with a double-well type interatomic interaction like $V(\xi)=-\xi^2/2+\xi^4/4$, when the system…

Statistical Mechanics · Physics 2016-04-22 Daxing Xiong

Solutions to the phonon Boltzmann transport equation under the relaxation-time approximation (RTA) are fundamentally limited in that they do not account for the off-diagonal elements of the scattering matrix, which encode intermode energy…

Computational Physics · Physics 2026-05-25 Y. Sungtaek Ju
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