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We build an exact framework to evaluate heat, energy, and particle transport between Gaussian reservoirs mediated by a quadratic quantum system. By combining full counting statistics with newly developed non-Markovian master equation…

Quantum Physics · Physics 2026-02-25 Guglielmo Pellitteri , Vittorio Giovannetti , Vasco Cavina

We consider heat transfer between two thermal reservoirs mediated by a quantum system using the generalized quantum Langevin equation. The thermal reservoirs are treated as ensembles of oscillators within the framework of the Drude-Ullersma…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 George Y. Panasyuk , George A. Levin , Kirk L. Yerkes

This work is aimed at the study and analysis of the heat transport on a metal bar of length $L$ with a solid-solid interface. The process is assumed to be developed along one direction, across two homogeneous and isotropic materials.…

Analysis of PDEs · Mathematics 2021-10-28 Diana Rubio , Domingo A. Tarzia , Guillermo F. Umbricht

Near-field radiative heat transfer between bodies at the nanoscale can surpass blackbody limits on thermal radiation by orders of magnitude due to contributions from evanescent electromagnetic fields, which carry no energy to the far-field.…

Classical Physics · Physics 2020-01-15 Sean Molesky , Prashanth S. Venkataram , Weiliang Jin , Alejandro W. Rodriguez

We consider a heat transmission problem across an irregular interface -- that is, non-Lipschitz or fractal -- between two media (a hot one and a cold one). The interface is modelled as the support of a d-upper regular measure. We introduce…

Analysis of PDEs · Mathematics 2023-12-05 Gabriel Claret , Anna Rozanova-Pierrat

We develop a self-consistent theoretical formalism to model the dynamics of heat transfer in dissipative, dispersive, anisotropic nanoscale media, such as metamaterials. We employ our envelope dyadic Green's function method to solve…

Classical Physics · Physics 2024-11-19 Hodjat Mariji , Stanislav Maslovski

We review studies of vibrational energy transfer in a molecular junction geometry, consisting of a molecule bridging two heat reservoirs, solids or large chemical compounds. This setup is of interest for applications in molecular…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 Dvira Segal , Bijay Kumar Agarwalla

We present high precision measurements of the radiative heat transfer of a glass microsphere immersed in a thermal bath in vacuum facing three different planar substrates (SiO2, SiC and Au), which exhibit very different optical behaviors in…

We present a general framework for studying strongly coupled radiative and conductive heat transfer between arbitrarily shaped bodies separated by sub-wavelength distances. Our formulation is based on a macroscopic approach that couples our…

Mesoscale and Nanoscale Physics · Physics 2016-11-28 Weiliang Jin , Riccardo Messina , Alejandro W. Rodriguez

We investigate heat transport in a spin-1/2 Heisenberg chain, coupled locally to independent thermal baths of different temperature. The analysis is carried out within the framework of the theory of open systems by means of appropriate…

Quantum Physics · Physics 2009-11-13 Hannu Wichterich , Markus J. Henrich , Heinz-Peter Breuer , Jochen Gemmer , Mathias Michel

An expression for the transmission matrix based conductance is provided for the propagation of scalar waves in certain bifurcated discrete waveguides using the paradigm of a three-terminal Landauer-Buttiker junction. It is found that the…

Mesoscale and Nanoscale Physics · Physics 2018-08-09 Basant Lal Sharma

In this paper, we propose and analyze a new semi-implicit stochastic multiscale method for the radiative heat transfer problem with additive noise fluctuation in composite materials. In the proposed method, the strong nonlinearity term…

Numerical Analysis · Mathematics 2026-05-12 Shan Zhang , Yajun Wang , Xiaofei Guan

The study of heat transport in low-dimensional oscillator lattices presents a formidable challenge. Theoretical efforts have been made trying to reveal the underlying mechanism of diversified heat transport behaviors. In lack of a unified…

Statistical Mechanics · Physics 2016-05-05 Lei Wang , Nianbei Li , Peter Hanggi

This paper is devoted to deal with some mathematical and numerical aspects of the radiative integral transfer equations. First, the properties of the raidative integral operators are analyzed. Based on these results, the existence and…

Numerical Analysis · Mathematics 2017-09-15 Yaochuang Han

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…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 Prashanth S. Venkataram , Riccardo Messina , Juan Carlos Cuevas , Philippe Ben-Abdallah , Alejandro W. Rodriguez

We present a unified description of heat flow in two-terminal hybrid quantum systems. Using simple models, we analytically study nonlinear aspects of heat transfer between various reservoirs: metals, solids, and spin baths, mediated by the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Lian-Ao Wu , Claire X. Yu , Dvira Segal

We report on the derivation of the heat transport equation for nonmetals using a quantum Markovian master equation in Lindblad form. We first establish the equations of motion describing the time variation of the on-site energy of atoms in…

Quantum Physics · Physics 2021-12-30 Yamen Hamdouni

We revisit the problem of two-terminal transport of non-interacting Fermi particles in a mesoscopic device. First, we generalize the problem by including into consideration relaxation processes in contacts (which are characterized by the…

Mesoscale and Nanoscale Physics · Physics 2024-07-11 Andrey R. Kolovsky

An exactly solvable model in heat conduction is considered. The $C$-integrable (i.e., change-of-variables-integrable) equation for second sound (i.e., heat wave) propagation in a thin, rigid dielectric heat conductor uniformly heated on its…

Classical Physics · Physics 2019-01-01 Ivan C. Christov

A tomographic study of near-field radiative heat exchanges between a mesoscopic object and a substrate immersed in a thermal bath is carried out within the theoretical framework of fluctuational electrodynamics. By using the…

Mesoscale and Nanoscale Physics · Physics 2025-01-07 Florian Herz , Riccardo Messina , Philippe Ben-Abdallah