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The heat equation is considered in the complex system consisting of many small bodies (particles) embedded in a given material. On the surfaces of the small bodies a Newton-type boundary condition is imposed. An equation for the limiting…

Analysis of PDEs · Mathematics 2012-07-04 A. G. Ramm

Following the nonequilibrium Green's function formalism we study the thermal transport in a composite chain subject to a time-dependent perturbation. The system is formed by two finite linear asymmetric harmonic chains subject to an on-site…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 N. Beraha , A. Soba , M. F. Carusela

We study theoretically how energy and heat are transferred between the two-dimensional layers of bilayer carrier systems due to near-field interlayer carrier interaction. We derive general expressions for the interlayer heat transfer and…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Mika Prunnila , Sampo J. Laakso

Energy transfer in small nanosized systems can be very different from that in their macroscopic counterparts due to reduced dimensionality, interaction with surfaces, disorder, and large fluctuations. Those ingredients may induce…

Statistical Mechanics · Physics 2023-04-05 Giuliano Benenti , Davide Donadio , Stefano Lepri , Roberto Livi

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

We analyze the coupling between conduction and radiative heat transfer in near-field regime between two coaxial cylinders separated by a vacuum gap. By solving the heat transport equation in the steady-state regime between metals or polar…

Mesoscale and Nanoscale Physics · Physics 2022-12-13 Chams Gharib Ali Barura , Philippe Ben-Abdallah , Riccardo Messina

Time modulation opens new avenues for light, heat control, and energy harvesting, yet the impact of nonequilibrium dynamics of microscopic particles remains largely unexplored. We develop a microscopic theory to describe radiative heat…

Mesoscale and Nanoscale Physics · Physics 2025-07-03 Hui Pan , Yuhua Ren , Gaomin Tang , Jian-Sheng Wang

Thermal radiative phenomena can be strongly influenced by the coupling of phonons and long-range electromagnetic fields at infrared frequencies. Typically employed macroscopic descriptions of thermal fluctuations tend to ignore atomistic…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Prashanth S. Venkataram , Jan Hermann , Alexandre Tkatchenko , Alejandro W. Rodriguez

Using electric dipoles to describe light-matter interactions between two entities is a conventional approximation in physics, chemistry, and material sciences. However, the lack of material structures makes the approximation inadequate when…

Chemical Physics · Physics 2023-05-24 Ming-Wei Lee , Liang-Yan Hsu

In this paper, thermal transport in bond-disordered harmonic chains is revisited in detail using a nonequilibrium Green's function formalism. For strong bond disorder, thermal conductivity is independent of the system size. However, kinetic…

Statistical Mechanics · Physics 2021-10-25 Kiminori Hattori , Shohei Kumatoriya

We study thermal transport through Pt nanowires that bridge planar contacts as a function of wire length and vibrational frequency of the contacts. When phonons in the contacts have lower average frequencies than those in the wires thermal…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Ya Zhou , Alejandro Strachan

A local-orbital based ab initio approach to obtain the Green function for large heterogeneous systems is developed. First a Green function formalism is introduced based on exact diagonalization. Then the self energy is constructed from an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Albrecht , A. Schnurpfeil , G. Cuniberti

We develop a general theory of radiative heat exchange between dipoles with time-modulated optical properties. This framework extends fluctuational electrodynamics beyond equilibrium by incorporating nonstationary correlations and memory…

Optics · Physics 2026-01-07 Riccardo Messina , Philippe Ben-Abdallah

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

Light absorption in conducting materials produces heating of their conduction electrons, followed by relaxation into phonons within picoseconds, and subsequent diffusion into the surrounding media over longer timescales. This conventional…

Materials Science · Physics 2017-03-08 R. Yu , A. Manjavacas , F. J. Garcia de Abajo

Radiative heat transfer between bodies is often dominated by a narrow resonance in the transmission, e.~g. due to a cavity mode or a surface excitation. However, this resonant character is not visible in the average heat current. Here, we…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 J. L. Wise , N. Roubinowitz , W. Belzig , D. M. Basko

A simple vibrational model of heat transfer in two-dimensional (2D) fluids relates the heat conductivity coefficient to the longitudinal and transverse sound velocities, specific heat, and the mean interatomic separation. This model is…

Plasma Physics · Physics 2021-01-15 Sergey Khrapak

We present here a theoretical method to determine the phononic contribution to the thermal conductance of nanoscale systems in the phase-coherent regime. Our approach makes use of classical molecular dynamics (MD) simulations to calculate…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Fabian Müller , Peter Nielaba , Juan Carlos Cuevas , Fabian Pauly

In recent times the possibility of non-reciprocity in heat transfer between two bodies has been extensively studied. In particular the role of strong magnetic fields has been investigated. A much simpler approach with considerable…

Mesoscale and Nanoscale Physics · Physics 2023-03-29 S. -A. Biehs , G. S. Agarwal

We discuss the non-radiative heat transfer in non-equilibrium double layer graphene system. We show that at the neutrality point the heat exchange is dominated by the inter-layer plasmon modes and derive analytic expressions for the heat…

Mesoscale and Nanoscale Physics · Physics 2020-11-25 Xuzhe Ying , Alex Kamenev