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The out-of-plane fluctuations of carbon atoms in a graphene sheet have been studied by means of classical molecular dynamic simulations with an empirical force-field as a function of temperature. The Fourier analysis of the out-of-plane…

Materials Science · Physics 2016-06-27 R. Ramirez , E. Chacon , C. P. Herrero

Based on the phonon Boltzmann transport equation under the relaxation time approximation, analytical expressions for the temperature profiles of both steady state and modulated heat conduction inside a thin film deposited on a substrate are…

Mesoscale and Nanoscale Physics · Physics 2015-09-02 Jose Ordonez-Miranda , Ronggui Yang , Sebastian Volz , J. J. Alvarado-Gil

The structural, dynamical, and thermodynamical properties of diamond, graphite and layered derivatives (graphene, rhombohedral graphite) are computed using a combination of density-functional theory (DFT) total-energy calculations and…

Materials Science · Physics 2009-11-10 Nicolas Mounet , Nicola Marzari

The heating of a two-dimensional electron gas by an rf electric field generated by a surface acoustic wave, which can be described by an electron temperature $T_e$, has been investigated. It is shown that the energy balance of the electron…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. L. Drichko , A. M. D'yakonov , V. D. Kagan , A. M. Kreshchuk , T. A. Polyanskaya , I. G. Savel'ev , I. Yu. Smirnov , A. V. Suslov

We develop the theory of heat conductivity in supported graphene, accounting for coherent phonon scattering on disorder induced by an amorphous substrate. We derive spectra for in-plane and out-of-plane phonons in the framework of Green's…

Mesoscale and Nanoscale Physics · Physics 2017-03-03 Sergei Koniakhin , Oleg Utesov , Ivan Terterov , Anton Nalitov

The lattice thermal conductivity of graphene is evaluated using a microscopic model that takes into account the lattice's discrete nature and the phonon dispersion relation within the Brillouin zone. The Boltzmann transport equation is…

Soft Condensed Matter · Physics 2024-01-18 J. Chen , Y. Liu

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

An experiment is proposed to test a previously developed theory of the hydrodynamics of a nonequilibrium heat current-induced superfluid-normal interface. It is shown that the interfacial ``trapped'' second sound mode predicted by the…

Other Condensed Matter · Physics 2009-11-11 Peter B. Weichman

Phonon heat conduction over length scales comparable to their mean free paths is a topic of considerable interest for basic science and thermal management technologies. Although the failure of Fourier's law beyond the diffusive regime is…

Materials Science · Physics 2019-08-28 Chengyun Hua , Lucas Lindsay , Xiangwen Chen , Austin Minnich

We develop a theory of fluctuation-driven phenomena in thermal transport in graphene double-layers. We work in the regime of electron hydrodynamics and focus on the double charge neutrality point. Although at the neutrality point charge…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Alex Levchenko , Songci Li , A. V. Andreev

Recent experiments have shown surprisingly large thermal time constants in suspended graphene ranging from 10 to 100 ns in drums with a diameter ranging from 2 to 7 microns. The large time constants and their scaling with diameter points…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Robin J. Dolleman , Yaroslav M. Blanter , Herre S. J. van der Zant , Peter G. Steeneken , Gerard J. Verbiest

Recent theory has predicted large temperature differences between the in-plane (LA and TA) and out-of-plane (ZA) acoustic phonon baths in locally-heated suspended graphene. To verify these predictions, and their implications for…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Robin J. Dolleman , Gerard J. Verbiest , Yaroslav M. Blanter , Herre S. J. van der Zant , Peter G. Steeneken

We numerically study the transport properties of a two-dimensional Fermi gas in a weakly and strongly interacting regimes, in the range of temperatures close to the transition to a superfluid phase. For that we excite sound waves in a…

Quantum Gases · Physics 2024-05-15 Krzysztof Gawryluk , Mirosław Brewczyk

We examine the electronic heat transport phenomena in nanoscale junctions composed of organic molecules coupled to two metallic reservoirs of different temperatures. The electronic heat flux and its dynamical noise properties are calculated…

Mesoscale and Nanoscale Physics · Physics 2016-08-02 Arthur Luniewski , Rita Aghjayan , Kamil Walczak

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

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

We first propose fundamental solutions of wave propagation in one-dimensional dispersive chain subject to a localized initial perturbation in the displacement. Analytical solutions are obtained for both second order nonlinear dispersive…

Statistical Mechanics · Physics 2018-08-31 Zhijie Xu

For nano-materials, heat conductivity is an ill-defined concept. This classical concept assumes the validity of Fourier's law, which states the heat flux is proportional to temperature gradient, with heat conductivity used to denote this…

Numerical Analysis · Mathematics 2025-02-28 Peiyi Chen , Irene M. Gamba , Qin Li , Li Wang

The ab initio model for heat propagation is the phonon transport equation, a Boltzmann-like kinetic equation. When two materials are put side by side, the heat that propagates from one material to the other experiences thermal boundary…

Numerical Analysis · Mathematics 2025-10-13 Irene M Gamba , Qin Li , Anjali Nair

The effect of electron-phonon scattering processes over the thermoelectric properties of extrinsic graphene was studied. Electrical and thermal resistivity, as well as the thermopower, were calculated within the Bloch theory approximations.…

Mesoscale and Nanoscale Physics · Physics 2012-08-02 Enrique Muñoz