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Phonon hydrodynamics describes the motions of heat carriers (phonons) at sub-continuum scales: diffusive, ballistic, viscous, and vortical. In a previous paper, these behaviours were investigated within the framework of non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2025-01-27 Liliana Restuccia , David Jou , Michal Pavelka

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…

Chaotic Dynamics · Physics 2013-01-04 Nianbei Li , Baowen Li

A new equation, rooted in the theory of Brownian motion, is proposed for describing heat conduction by phonons. Though a finite speed of propagation is a built-in feature of the equation, it does not give rise to an inauthentic wave front…

Other Condensed Matter · Physics 2013-05-29 K. Razi Naqvi , S. Waldenstroem

Recent experiments have provided compelling and renewed interest in phonon hydrodynamics. At variance with ordinary diffusive heat transport, this regime is primarily governed by momentum-conserving phonon collisions. At the mesoscopic…

Computational Physics · Physics 2026-02-10 Enrico Di Lucente , Francesco Libbi , Nicola Marzari

The hydrodynamic phonon transport was studied several decades ago for verifying the quantum theory of lattice thermal transport. Recent prediction of significant hydrodynamic phonon transport in graphitic materials shows its practical…

Mesoscale and Nanoscale Physics · Physics 2019-03-15 Sangyeop Lee , Xun Li

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…

Computational Physics · Physics 2022-01-11 Zhongwei Zhang , Yangyu Guo , Marc Bescond , Jie Chen , Masahiro Nomura , Sebastian Volz

This review summarizes recent studies of thermal transport in nanoscaled semiconductors. Different from bulk materials, new physics and novel thermal properties arise in low dimensional nanostructures, such as the abnormal heat conduction,…

Mesoscale and Nanoscale Physics · Physics 2013-01-14 Nuo Yang , Xiangfan Xu , Gang Zhang , Baowen Li

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…

Optics · Physics 2020-10-28 Cheng Yang , Xinrui Wei , Jiteng Sheng , Haibin Wu

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…

Materials Science · Physics 2021-01-26 Andrew Rohskopf

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…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 Nianbei Li , Jie Ren , Lei Wang , Gang Zhang , Peter Hänggi , Baowen Li

Heat transfer is a fundamental concept in physics, and how to characterize the microscopical physical mechanism of heat transfer is a significant topic. Recently, a new mechanism for heat transfer, phonon heat transfer across a vacuum…

Quantum Physics · Physics 2025-08-05 Yue-Hui Zhou , Jie-Qiao Liao

In this book chapter we provide the definition of "Simulating Nanoscale Heat Transport", broadly regarded as modeling heat conduction beyond Fourier's law. We primarely focus on incoherent transport, which is dominated by scattering between…

Materials Science · Physics 2015-06-22 Giuseppe Romano , Jean-Philippe Peraud , Jeffrey C. Grossman

Thermal conductivity in dielectric crystals is the result of the relaxation of lattice vibrations described by the phonon Boltzmann transport equation. Remarkably, an exact microscopic definition of the heat carriers and their relaxation…

Materials Science · Physics 2016-10-26 Andrea Cepellotti , Nicola Marzari

We study hydrodynamic phonon heat transport in two-dimensional (2D) materials. Starting from the Peierls-Boltzmann equation within the Callaway model, we derive a 2D Guyer-Krumhansl-like equation describing non-local hydrodynamic phonon…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Man-Yu Shang , Jing-Tao Lü

Nonequilibrium multi-carrier thermal transport is essential for both scientific research and technological applications in electronic, spintronic, and energy conversion devices. This article reviews the fundamentals of phonon, electron,…

Materials Science · Physics 2025-02-18 Te-Huan Liu , Tianyu Wang , Jun Zhou , Xin Qian , Ronggui Yang

Heat conduction in dielectric crystals originates from the propagation of atomic vibrations, whose microscopic dynamics is well described by the linearized phonon Boltzmann transport equation. Recently, it was shown that thermal…

Computational Physics · Physics 2020-02-05 Michele Simoncelli , Nicola Marzari , Andrea Cepellotti

We studied the phononic heat transfer through an atomic dielectric wire with both infinite and finite lengths by using a model Hamiltonian approach. At low temperature under ballistic transport, the thermal conductance contributed by each…

Condensed Matter · Physics 2009-10-31 A. Buldum , S. Ciraci , C. Y. Fong

Molten salts are important in a number of energy applications, but the fundamental mechanisms operating in ionic liquids are poorly understood, particularly at higher temperatures. This is despite their candidacy for deployment in solar…

The phonon thermal conductivity of semiconducting periodic solids can be obtained using the lattice dynamics calculations along with the Boltzmann transport equation and with input from density functional theory calculations. These…

Mesoscale and Nanoscale Physics · Physics 2025-05-30 Ankit Jain , Yagyank Srivastava , Amey G. Gokhale , Nidheesh Virakante , Hardik L. Kagdada

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
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