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In this paper, we present a Hamiltonian and thermodynamic theory of heat transport on various levels of description. Transport of heat is formulated within kinetic theory of polarized phonons, kinetic theory of unpolarized phonons,…

介观与纳米尺度物理 · 物理学 2022-09-20 Michal Pavelka , Liliana Restuccia , David Jou

We present a general nonequilibrium Green's function formalism for modeling heat transfer in systems characterized by linear response that establishes the formal algebraic relationships between phonon and radiative conduction, and reveals…

Developing simplified, but accurate, theoretical approaches to treat heat transport on all length and time scales is needed to further enable scientific insight and technology innovation. Using a simplified form of the Boltzmann transport…

介观与纳米尺度物理 · 物理学 2015-06-23 Jesse Maassen , Mark Lundstrom

Understanding ballistic phonon transport effects in transient thermoreflectance experiments and explaining the observed deviations from classical theory remains a challenge. Diffusion equations are simple and computationally efficient but…

介观与纳米尺度物理 · 物理学 2016-03-23 Jesse Maassen , Mark Lundstrom

The understanding of heat transport in nonequilibrium thermodynamics is an important research frontier, which is crucial for implementing novel thermodynamic devices, such as heat engines and refrigerators. The convection, conduction, and…

光学 · 物理学 2020-10-28 Cheng Yang , Xinrui Wei , Jiteng Sheng , Haibin Wu

We propose a prescription based on the Fokker-Planck equation in the Stratonovich approach, with the diffusion coefficient dependent on temporal and spatial coordinates, for describing heat conduction by phonons in small structures. This…

软凝聚态物质 · 物理学 2007-05-23 Kwok Sau Fa

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…

介观与纳米尺度物理 · 物理学 2014-05-06 Austin J. Minnich

Understanding and quantifying the fundamental physical property of coherence of thermal excitations is a long-standing and general problem in physics. The conventional theory, i.e. the phonon gas model, fails to describe coherence and its…

计算物理 · 物理学 2022-01-11 Zhongwei Zhang , Yangyu Guo , Marc Bescond , Jie Chen , Masahiro Nomura , Sebastian Volz

Analytic solutions for cylindrical thermal waves in solid medium is given based on the nonlinear hyperbolic system of heat flux relaxation and energy conservation equations. The Fourier-Cattaneo phenomenological law is generalized where the…

数学物理 · 物理学 2017-09-07 Imre Ferenc Barna , Robert Kersner

Traditional theories of interfacial heat transfer by atomic vibrations, also known as phonons, do not explain how vibrational mode interactions contribute to interface conductance. Traditional methods also use the concept of phonons as…

材料科学 · 物理学 2021-01-26 Andrew Rohskopf

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…

介观与纳米尺度物理 · 物理学 2009-10-31 D. E. Angelescu , M. C. Cross , M. L. Roukes

It is generally understood that Fourier's law does not describe ballistic phonon transport, which is important when the length of a material is similar to the phonon mean-free-path. Using an approach adapted from electron transport, we…

介观与纳米尺度物理 · 物理学 2015-06-22 Jesse Maassen , Mark Lundstrom

The form of energy termed heat that typically derives from lattice vibrations, i.e. the phonons, is usually considered as waste energy and, moreover, deleterious to information processing. However, with this colloquium, we attempt to rebut…

介观与纳米尺度物理 · 物理学 2012-08-21 Nianbei Li , Jie Ren , Lei Wang , Gang Zhang , Peter Hänggi , Baowen Li

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…

介观与纳米尺度物理 · 物理学 2021-08-05 Chuang Zhang , Zhaoli Guo

In our former study (J. Phys. A: Math. Theor. 43, (2010) 325210 or arXiv:1002.0999v1 [math-ph]) we introduced a modified Fourier-Cattaneo law and derived a non-autonomous telegraph-type heat conduction equation which has desirable…

数学物理 · 物理学 2015-05-20 I. F. Barna , R. Kersner

Heat transport in low-dimensional systems has attracted enormous attention from both theoretical and experimental aspects due to its significance to the perception of fundamental energy transport theory and its potential applications in the…

混沌动力学 · 物理学 2013-01-04 Nianbei Li , Baowen Li

Phonons (collective atomic vibrations in solids) are more effective in transporting heat than photons. This is the reason why the conduction mode of heat transport in nonmetals (mediated by phonons) is dominant compared to the radiation…

介观与纳米尺度物理 · 物理学 2016-11-01 Karthik Sasihithlu , John Brian Pendry , Richard V. Craster

The Boltzmann transport equation for phonons is recast directly in terms of the heat-flux by means of iteration followed by truncation at the second order in the spherical harmonic expansion of the distribution function. This procedure…

介观与纳米尺度物理 · 物理学 2015-10-28 Ashok T. Ramu , John E. Bowers

A novel equation of heat conduction is derived with the help of a generalized entropy current and internal variables. The obtained system of constitutive relations is compatible with the momentum series expansion of the kinetic theory. The…

统计力学 · 物理学 2015-04-16 R. Kovács , P. Ván

Recent experimental advances probing coherent phonon and electron transport in nanoscale devices at contact have motivated theoretical channel-based analyses of conduction based on the nonequilibrium Green's function formalism. The…

介观与纳米尺度物理 · 物理学 2020-08-12 Prashanth S. Venkataram , Sean Molesky , Juan Carlos Cuevas , Alejandro W. Rodriguez
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