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A recently developed enhanced Fourier law is applied to the problem of extracting thermal properties of materials from frequency-domain thermoreflectance (FDTR) experiments. The heat transfer model comprises contributions from two phonon…

介观与纳米尺度物理 · 物理学 2015-08-24 Ashok T. Ramu , John E. Bowers

As a paradigm for heat conduction in 1 dimension, we propose a class of models represented by chains of identical cells, each one of which containing an energy storage device called a "tank". Energy exchange among tanks is mediated by…

混沌动力学 · 物理学 2009-11-11 Jean-Pierre Eckmann , Lai-Sang Young

The modelling of the dynamics of inclined closed loop buoyancy driven heat exchangers with inclusion of the wall conduction effect at the heat exchanger is presented in the current study. A Coupled Natural Circulation Loop (CNCL) is an…

流体动力学 · 物理学 2024-02-29 Akhil Dass , Sateesh Gedupudi

The Fourier law of heat conduction describes heat diffusion in macroscopic systems. This physical law has been experimentally tested for a large class of physical systems. A natural question is to know whether it can be derived from the…

偏微分方程分析 · 数学 2019-12-10 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond

We analyze the steady-state energy transfer in a chain of coupled two-level systems connecting two thermal reservoirs. Through an analytic treatment we find that the energy current is independent of the system size, hence violating…

量子物理 · 物理学 2012-12-20 Daniel Manzano , Markus Tiersch , Ali Asadian , Hans J. Briegel

Understanding heat transport in low-dimensional and nano-architectured materials remains a central challenge in nonequilibrium statistical physics due to persistent deviations from Fourier's law. These deviations are driven by…

介观与纳米尺度物理 · 物理学 2026-05-15 R. A. C. Correa , K. N. M. Sharma , P. Lolur , J. van Velzen

In order to account for non-Fourier heat transport, occurring on short time and length scales, the often-praised Dual-Phase-Lag (DPL) model was conceived, introducing a causality relation between the onset of heat flux and the temperature…

介观与纳米尺度物理 · 物理学 2019-08-23 Marco Gandolfi , Giulio Benetti , Christ Glorieux , Claudio Giannetti , Francesco Banfi

Size-dependence of energy transport and the effects of reduced dimensionality on transport coefficients are of key importance for understanding nonequilibrium properties of matter on the nanoscale. Here, we perform nonequilibrium and…

统计力学 · 物理学 2021-05-26 Rongxiang Luo , Lisheng Huang , Stefano Lepri

We present a first-principles study of heat conduction in a class of models which exhibit a new multi-step local thermalization mechanism which gives rise to Fourier's law. Local thermalization in our models occurs as the result of binary…

统计力学 · 物理学 2008-07-08 Pierre Gaspard , Thomas Gilbert

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…

介观与纳米尺度物理 · 物理学 2021-08-05 Chuang Zhang , Zhaoli Guo

We report heat pulse experiments at room temperature that cannot be described by Fourier's law. The experimental data is modelled properly by the Guyer--Krumhansl equation, in its over-diffusion regime. The phenomenon is due to conduction…

统计力学 · 物理学 2016-05-20 S. Both , B. Czél , T. Fülöp , Gy. Gróf , Á. Gyenis , R. Kovács , P. Ván , J. Verhás

Dual phase lag equation for heat conduction is analyzed from the point of view of non-equilibrium thermodynamics. Its first order Taylor series expansion is consistent with the second law as long as the two relaxation times are not…

统计力学 · 物理学 2019-06-11 Róbert Kovács , Péter Ván

Thermal conduction is an important energy transfer and damping mechanism in astrophysical flows. Fourier's law - the heat flux is proportional to the negative temperature gradient, leading to temperature diffusion - is a well-known…

太阳与恒星天体物理 · 物理学 2015-06-23 Daniel Lecoanet , Benjamin P. Brown , Ellen G. Zweibel , Keaton J. Burns , Jeffrey S. Oishi , Geoffrey M. Vasil

Two aspects of conductive heat are focused here (i) the nature of conductive heat, defined as that form of energy that is transferred as a result of a temperature difference and (ii) the nature of the intermolecular potentials that induces…

综合物理 · 物理学 2016-08-08 Christopher Gunaseelan Jesudason

The heat pulse experiment is a well-known method for determining thermal diffusivity. However, neither the measurement nor the evaluation methodologies are straightforward for heterogeneous, highly porous materials. In the present paper, we…

经典物理 · 物理学 2023-08-21 Anna Fehér , Róbert Kovács , Ákos Sudár , Gergely Gábor Barnaföldi

Heat conduction in three-dimensional nonlinear lattices is investigated using a particle dynamics simulation. The system is a simple three-dimensional extension of the Fermi-Pasta-Ulam $\beta$ (FPU-$\beta$) nonlinear lattices, in which the…

统计力学 · 物理学 2010-04-07 Hayato Shiba , Satoshi Yukawa , Nobuyasu Ito

This article presents a theoretical analysis of a one-dimensional heat transfer problem in two layers involving diffusion, advection, internal heat generation or loss linearly dependent on temperature in each layer, and heat generation due…

流体动力学 · 物理学 2024-10-28 Guillermo Federico Umbricht , Diana Rubio , Domingo Alberto Tarzia

This paper deals with the time differential dual-phase-lag heat transfer models aiming, at first, to identify the eventually restrictions that make them thermodynamically consistent. At a first glance it can be observed that the capability…

数学物理 · 物理学 2021-03-19 Stan Chirita , Michele Ciarletta , Vincenzo Tibullo

The realization of single-molecule thermal conductance measurements has driven the need for theoretical tools to describe conduction processes that occur over atomistic length scales. In macroscale systems, the principle that is typically…

介观与纳米尺度物理 · 物理学 2023-05-17 Galen T. Craven , Abraham Nitzan

Nonequilibrium statistical mechanics close to equilibrium is a physically satisfactory theory centered on the linear response formula of Green-Kubo. This formula results from a formal first order perturbation calculation without rigorous…

混沌动力学 · 物理学 2015-05-27 David Ruelle