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We consider the Navier-Stokes-Fourier system governing the motion of a general compressible, heat conducting, Newtonian fluid driven by random initial/boundary data. Convergence of the stochastic collocation and Monte Carlo numerical…

Numerical Analysis · Mathematics 2024-01-12 Eduard Feireisl , Maria Lukacova-Medvidova , Bangwei She , Yuhuan Yuan

Recently, remarkably simple exact results were presented about the dynamics of heat transport in the local Luttinger model for nonequilibrium initial states defined by position-dependent temperature profiles. We present mathematical details…

Statistical Mechanics · Physics 2018-07-20 Krzysztof Gawedzki , Edwin Langmann , Per Moosavi

We discuss the low-frequency response of charge and heat transport to oscillatory voltage and temperature shifts in mesoscopic capacitors. We obtain within scattering theory generic expressions for the quantum admittances up to second order…

Mesoscale and Nanoscale Physics · Physics 2013-11-19 Jong Soo Lim , Rosa Lopez , David Sanchez

Predicting interfacial thermodynamics across molecular and continuum scales remains a central challenge in computational science. Classical density functional theory (cDFT) provides a first-principles route to connect microscopic…

Computational Physics · Physics 2026-01-01 Edoardo Monti , Peter Yatsyshin , Konstantinos Gkagkas , Andrew B. Duncan

A new formulation of the thermodynamic field theory (TFT) is presented. In this new version, one of the basic restriction in the old theory, namely a closed-form solution for the thermodynamic field strength, has been removed. In addition,…

Statistical Mechanics · Physics 2013-05-29 Giorgio Sonnino

Transport in strongly correlated fermions cannot be understood by fermionic quasiparticles alone. We present a theoretical framework for quantum transport that incorporates strong local correlations of fermion pairs. These contact…

Quantum Gases · Physics 2025-02-12 Tilman Enss

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

The thermoelectric transport properties of nanostructured devices continue to attract attention from theorists and experimentalist alike as the spatial confinement allows for a controlled approach to transport properties of correlated…

Strongly Correlated Electrons · Physics 2015-06-12 Stefan Kirchner , Farzaneh Zamani , Enrique Muñoz

We study the nonlinear interfacial thermal transport across atomic junctions by the quantum self-consistent mean field (QSCMF) theory based on nonequilibrium Green's function approach; the QSCMF theory we propose is very precise and matches…

Statistical Mechanics · Physics 2013-10-15 Lifa Zhang , Juzar Thingna , Dahai He , Jian-Sheng Wang , Baowen Li

Within the emerging field of quantum thermodynamics the issues of heat transfer and heat rectification are basic ingredients for the understanding and design of heat engines or refrigerators at nanoscales. Here, a consistent and versatile…

Statistical Mechanics · Physics 2018-11-21 Thomas Motz , Michael Wiedmann , Jürgen T. Stockburger , Joachim Ankerhold

Using matter waves that are trapped in a deep optical lattice, dissipationless directed transport is demonstrated to occur if the single-band quantum dynamics is periodically tilted on one half of the lattice by a monochromatic field. Most…

Other Condensed Matter · Physics 2009-11-13 Jiangbin Gong , Dario Poletti , Peter Hanggi

Directed transport is a key concept for many ongoing applications including nanoscale heat management, current rectification, source protection, and energy harvesting. Within the context of quantum transport, we here explore the use of…

Mesoscale and Nanoscale Physics · Physics 2024-02-21 Erika L. Mehring , Raúl A. Bustos-Marún , Hernán L. Calvo

We review recent developments in nonlinear quantum transport through nanostructures and mesoscopic systems driven by thermal gradients or in combination with voltage biases. Low-dimensional conductors are excellent platforms to analyze both…

Mesoscale and Nanoscale Physics · Physics 2016-11-14 David Sanchez , Rosa Lopez

The universal features of quantized thermal conductance of carbon nanotubes (CNTs) are revealed through theoretical analysis based on the Landauer theory of heat transport. The phonon-derived thermal conductance of semiconducting CNTs…

Materials Science · Physics 2009-11-10 Takahiro Yamamoto , Satoshi Watanabe , Kazuyuki Watanabe

It has been observed in many numerical simulations, experiments and from various theoretical treatments that heat transport in one-dimensional systems of interacting particles cannot be described by the phenomenological Fourier's law. The…

Statistical Mechanics · Physics 2019-11-12 Abhishek Dhar , Anupam Kundu , Aritra Kundu

Radiative thermal diodes based on two-element structures rectify heat flows thanks to a temperature dependence of material optical properties. The heat transport asymmetry through these systems, however, remains weak without a significant…

Mesoscale and Nanoscale Physics · Physics 2021-07-15 Ivan Latella , Philippe Ben-Abdallah , Moladad Nikbakht

A peculiarity of the hydrodynamic Navier-Stokes equations for a granular gas is the modification of the Fourier law, with the presence of an additional contribution to the heat flux that is proportional to the density gradient.…

Statistical Mechanics · Physics 2015-06-11 J. Javier Brey , M. J. Ruiz-Montero

We address a problem which is mathematically reminiscent of the one of Anderson localization, although it is related to a strongly dissipative dynamics. Specifically, we study thermal convection in a horizontal porous layer heated from…

Fluid Dynamics · Physics 2013-10-03 Denis S. Goldobin , Elizaveta V. Shklyaeva

Using quantum gas microscopy we study the late-time effective hydrodynamics of an isolated cold-atom Fermi-Hubbard system subject to an external linear potential (a "tilt"). The tilt is along one of the principal directions of the…

The problem of time-dependent particle transport in quantum conductors is nowadays a well established topic. In contrast, the way in which energy and heat flow in mesoscopic systems subjected to dynamical drivings is a relatively new…

Mesoscale and Nanoscale Physics · Physics 2016-11-29 Maria Florencia Ludovico , Liliana Arrachea , Michael Moskalets , David Sanchez