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The phonon contribution to the thermal conductivity at low temperature in superconductors with line nodes is calculated assuming that scattering by both nodal quasiparticles and the sample boundaries is significant. It is determined that,…

Superconductivity · Physics 2007-05-23 M. F. Smith

Nanoconfinement induces many intriguing non-Fourier heat conduction phenomena that have been extensively studied in recent years, such as the nonlinear temperature profile inside the devices, the temperature jumps near the contacts, and the…

Mesoscale and Nanoscale Physics · Physics 2019-10-16 Yue Hu , Xiaokun Gu , Tianli Feng , Zheyong Fan , Hua Bao

We study the recently proposed effective field theory for the phonon of an arbitrary non-relativistic superfluid. After computing the one-loop phonon self-energy, we obtain the low temperature T contributions to the phonon dispersion law at…

Quantum Gases · Physics 2014-11-20 Miguel Ángel Escobedo , Cristina Manuel

We demonstrate the key role of phonon occupation in limiting the high-field ballistic transport in metallic carbon nanotubes. In particular, we provide a simple analytic formula for the electron transport scattering length, that we validate…

Materials Science · Physics 2007-05-23 M. Lazzeri , S. Piscanec , F. Mauri , A. C. Ferrari , J. Robertson

Understanding thermal transport from nanoscale heat sources is important for a fundamental description of energy flow in materials, as well as for many technological applications including thermal management in nanoelectronics,…

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

Mathematical Physics · Physics 2016-01-12 A. G. Ramm

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 develop a computational framework, based on the Boltzmann transport equation, with the ability to compute the thermal transport in nanostructured materials of any geometry using as the only input the bulk thermal conductivity…

Mesoscale and Nanoscale Physics · Physics 2014-10-20 Giuseppe Romano , Jeffrey C. Grossman

Extending previous papers of Coleman-Fabrizio-Owen [1], [2] and Oncu-Moodie [3], we give a derivation of the thermodynamic restrictions on the constitutive relations of an electrically polarizable and finitely deformable heat conducting…

Mathematical Physics · Physics 2015-04-22 A. Montanaro

Among the three heat conduction modes, the ballistic propagation is the most difficult to model. In the present paper, we discuss its physical interpretations and showing different alternatives to its modeling. We highlight two of them: a…

Statistical Mechanics · Physics 2020-04-15 Gábor Balassa , Patrizia Rogolino , Ágnes Rieth , Róbert Kovács

The problem of heat conduction on networks of multiply connected rods is solved by providing an explicit solution of the one-dimensional heat equation in each domain. The size and connectivity of the rods is known, but neither temperature…

Analysis of PDEs · Mathematics 2016-04-11 N. E. Sheils , D. A. Smith

Modeling of thermal transport in practical nanostructures requires making trade-offs between the size of the system and the completeness of the model. We study quantum heat transfer in a self-consistent thermal bath setup consisting of two…

Mesoscale and Nanoscale Physics · Physics 2013-08-06 K. Sääskilahti , J. Oksanen , J. Tulkki

We developed a theory of charge transport in a system of non-interacting polarons. The theory was conducted to a compact relation through a nonperturbative method based on electron-phonon Hamiltonian. The derived final result represents…

Other Condensed Matter · Physics 2012-03-15 F. Marsusi , J. Sabbaghzadeh

We write a covariant transport equation for the phonon excitations of a relativistic superfluid valid at small temperatures. The hydrodynamical equations for this system are derived from the effective field theory associated to the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Massimo Mannarelli , Cristina Manuel

In this paper, we present a new model for heat transfer in compressible fluid flows. The model is derived from Hamilton's principle of stationary action in Eulerian coordinates, in a setting where the entropy conservation is recovered as an…

Analysis of PDEs · Mathematics 2024-08-13 Firas Dhaouadi , Sergey Gavrilyuk

In a typical semiconductor material, the majority of heat is carried by long wavelength, long mean-free-path phonons. Nanostructuring strategies to reduce thermal conductivity, a promising direction in the field of thermoelectrics, place…

Mesoscale and Nanoscale Physics · Physics 2024-05-08 Alex Greaney , S. Aria Hosseini , Laura de Sousa Oliveira , Alathea Davies , Neophytos Neophytou

Heat transport at nanoscales in semiconductors is investigated with a statistical method. The Boltzmann Transport Equation (BTE) which characterize phonons motion and interaction within the crystal lattice has been simulated with a Monte…

Classical Physics · Physics 2009-11-11 David Lacroix , Karl Joulain

Nonlinear heat transfer can be exploited to reveal novel transport phenomena and thus enhance peo-ple's ability to manipulate heat flux at will. However, there hasn't been a mature discipline called nonlinear thermotics like its counterpart…

Applied Physics · Physics 2022-10-04 Gaole Dai

We study the transport of heat along a chain of particles interacting through a harmonic potential and subject to heat reservoirs at its ends. Each particle has two degrees of freedom and is subject to a stochastic noise that produces…

Statistical Mechanics · Physics 2015-06-17 Gabriel T. Landi , Mario J. de Oliveira

A photon or neutrino gas--semi-contained by a baryonic species through scattering--comprises a rather peculiar MHD fluid where the magnetic field is truly frozen only to the co-moving volume associated with the mass density. Although…

Astrophysics · Physics 2007-05-23 Rafael A. Araya-Gochez , Ethan Vishniac