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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

Thermal conduction is an important energy transfer and damping mechanism in astrophysical flows. Fourier's law - the heat flux is proportional to the negative temperature gradient, leading to temperature diffusion - is a well-known…

Solar and Stellar Astrophysics · Physics 2015-06-23 Daniel Lecoanet , Benjamin P. Brown , Ellen G. Zweibel , Keaton J. Burns , Jeffrey S. Oishi , Geoffrey M. Vasil

Thermal transport properties of amorphous materials at low temperatures are governed by the interaction between phonons and localized excitations referred to as tunneling two level systems (TLS). The temperature variation of the thermal…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 Adib Tavakoli , Christophe Blanc , Hossein Ftouni , Kunal Lulla , Andrew Fefferman , Eddy Collin , Olivier Bourgeois

The thermodynamics of low-dimensional systems departs significantly from phenomenologically deducted macroscopic laws. Particular examples, not yet fully understood, are provided by the breakdown of Fourier's law and the ballistic transport…

Atomic Physics · Physics 2023-10-11 L. Timm , H. Weimer , L. Santos , T. E. Mehlstäubler

Previous studies have predicted the failure of Fourier's law of thermal conduction due to the existence of wave like propagation of heat with finite propagation speed. This non-Fourier thermal transport phenomenon can appear in both the…

Mesoscale and Nanoscale Physics · Physics 2021-08-05 Chuang Zhang , Zhaoli Guo

Relaxation dynamics of embedded metal nanoparticles after ultrafast laser pulse excitation is driven by thermal phenomena of different origins the accurate description of which is crucial for interpreting experimental results: hot electron…

Materials Science · Physics 2009-11-13 Majid Rashidi-Huyeh , Sebastian Volz , Bruno Palpant

Phonon heat transport in mesoscopic systems is investigated using methods analogous to the Landauer description of electrical conductance. A "universal heat conductance" expression that depends on the properties of the conducting pathway…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. E. Angelescu , M. C. Cross , M. L. Roukes

Oscillations of conductance observed in strong magnetic fields are a striking manifestation of the quantum dynamics of charge carriers in solids. The large charge carrier density in typical metals sets the scale of oscillations in both…

Nonlinear heat transfer can be exploited to reveal novel transport phenomena and thus enhance peo-ple's ability to manipulate heat flux at will. However, there hasn't been a mature discipline called nonlinear thermotics like its counterpart…

Applied Physics · Physics 2022-10-04 Gaole Dai

Heat conduction by phonons is a ubiquitous process that incorporates a wide range of physics and plays an essential role in applications ranging from space power generation to LED lighting. Heat conduction has been studied for over two…

Mesoscale and Nanoscale Physics · Physics 2014-05-06 Austin J. Minnich

A semi-analytical model for studying thermal transport at the nanoscale, able to accurately describe both the effect of out of equilibrium transport and the thermal transfer at interfaces, is presented. Our approach is based on the…

Mesoscale and Nanoscale Physics · Physics 2020-06-26 B. Davier , P. Dollfus , S. Volz , J. Shiomi , J. Saint-Martin

Heat transport in nanoscale systems is both hard to measure microscopically, and hard to interpret. Ballistic and diffusive heat flow coexist, adding confusion. This paper looks at a very simple case: a nanoscale crystal repeated…

Mesoscale and Nanoscale Physics · Physics 2015-07-01 Philip B. Allen

Phonon size effects induce ballistic transport in nanomaterials, challenging Fourier's law. Nondiffusive heat transport is captured by the Peierls-Boltzmann transport equation (BTE), commonly solved under the relaxation time approximation…

Mesoscale and Nanoscale Physics · Physics 2020-03-10 Giuseppe Romano

The new regime of low-temperature heat transfer in suspended nanowires is predicted. It takes place when (i) only ``acoustic'' phonon modes of the wire are thermally populated and (ii) phonons are subject to the effective elastic…

Materials Science · Physics 2009-10-31 B. A. Glavin

We review experimental and theoretical results on thermal transport in semiconductor nanostructures (multilayer thin films, core/shell and segmented nanowires), single- and few-layer graphene, hexagonal boron nitride, molybdenum disulfide…

Mesoscale and Nanoscale Physics · Physics 2018-06-13 Alexandr I. Cocemasov , Calina I. Isacova , Denis L. Nika

Ultrafast and nanoscale heat conduction demands a unified theoretical framework that rigorously bridges macroscopic transport equations with microscopic material properties derived from statistical physics.Existing empirical generalizations…

Materials Science · Physics 2025-09-08 David E. Crawford , Yi Zeng , Judith Vidal , Jianjun Dong

The thermal properties of solids under nanoscale confinement are currently not understood at the atomic level. Recent numerical studies have highlighted the presence of a minimum in the thermal conductivity as a function of thickness for…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Alessio Zaccone

With the rapid advances in the development of nanotechnology, nowadays, the sizes of elementary unit, i.e. transistor, of micro- and nanoelectronic devices are well deep into nanoscale. For the pursuit of cheaper and faster nanoscale…

Materials Science · Physics 2018-04-03 Xiaohan Shen

We present analytical model and molecular dynamics simulations of phonon heat transport in nanowires and nanoribbons with anharmonic lattices and dynamically rough surfaces and edges. In agreement with recent experiments on heat transport…

Statistical Mechanics · Physics 2011-12-30 Yuriy A. Kosevich , Alexander V. Savin

Significant progress has been made in recent studies of thermal and thermoelectric transport phenomena in nanostructures and low-dimensional systems. This article reviews several intriguing quantum and classical size effects on thermal and…

Mesoscale and Nanoscale Physics · Physics 2014-08-04 Li Shi