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The non-Fourier heat conduction phenomenon on room temperature is analyzed from various aspects. The first one shows its experimental side, in what form it occurs and how we treated it. It is demonstrated that the Guyer-Krumhansl equation…

The variety and complexity of heterogeneous materials in the engineering practice are continuously increasing, open-cell metal foams filled with phase change materials are typical examples. These are also having an impact on the recent…

Applied Physics · Physics 2023-07-03 Robert Kovacs

Due to their low density and large specific surface area, metal foams are increasingly used as cellular materials that combine excellent structural and thermal properties. Their cellular structure makes them particularly suitable for use in…

Applied Physics · Physics 2025-08-22 Anna Fehér , Dániel Cseh , Róbert Kovács

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…

Classical Physics · Physics 2023-08-21 Anna Fehér , Róbert Kovács , Ákos Sudár , Gergely Gábor Barnaföldi

The Fourier heat conduction model is valid for most macroscopic problems. However, it fails when the wave nature of the heat propagation or time lags become dominant and the memory or/and spatial non-local effects significant -- in…

Materials Science · Physics 2022-12-27 Alexander I. Zhmakin

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…

Statistical Mechanics · Physics 2016-05-20 S. Both , B. Czél , T. Fülöp , Gy. Gróf , Á. Gyenis , R. Kovács , P. Ván , J. Verhás

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…

Analysis of PDEs · Mathematics 2019-12-10 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond

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

In the past decades, numerous heat conduction models beyond Fourier have been developed to account for the large gradients, fast phenomena, wave propagation, or heterogeneous material structure, such as being typical for biological systems,…

Statistical Mechanics · Physics 2023-07-26 Róbert Kovács

The effects of the finite size of the simulation box in equilibrium molecular dynamics simulations are investigated for prototypical superionic conductors of different types, namely the fluorite-structure materials PbF2, CaF2, and UO2…

Materials Science · Physics 2022-04-20 Federico Grasselli

The untapped potential of thermal metamaterials requires the simultaneous observation of both diffusive and wave-like heat propagation across multiple length scales that can only be realised through theories beyond Fourier. Here, we…

Materials Science · Physics 2025-08-06 Harry Mclean , Francis Huw Davies , Ned Thaddeus Taylor , Steven Paul Hepplestone

Phonon heat conduction over length scales comparable to their mean free paths is a topic of considerable interest for basic science and thermal management technologies. Although the failure of Fourier's law beyond the diffusive regime is…

Materials Science · Physics 2019-08-28 Chengyun Hua , Lucas Lindsay , Xiangwen Chen , Austin Minnich

Heat conduction experiments are performed in order to identify effects beyond Fourier. Two experimental setups are discussed. First, a simple experiment by a heterogeneous material is investigated from the point of view of generalized heat…

Materials Science · Physics 2014-07-23 P. Ván , B. Czél , T. Fülöp , Gy. Gróf , Á. Gyenis , J. Verhás

Heat transport in nanoscale systems is both hard to measure microscopically, and hard to interpret. Ballistic and diffusive heat flow coexist, adding confusion. This paper looks at a very simple case: a nanoscale crystal repeated…

Mesoscale and Nanoscale Physics · Physics 2015-07-01 Philip B. Allen

A non-Fourier thermal transport regime characterizes the heat conduction in solids with internal structure. Several thermodynamic theories attempt to explain the separation from the Fourier regime in such kind of systems. Here we develop a…

Classical Physics · Physics 2021-06-03 R. E. Gonzalez-Narvaez , M. López de Haro , F. Vázquez

The thermal modeling of biological systems has increasing importance in developing more advanced, more precise techniques such as ultrasound surgery. One of the primary barriers is the complexity of biological materials: the geometrical,…

Classical Physics · Physics 2021-10-13 Ákos Sudár , Gergely Futaki , Róbert Kovács

Thermal conductivities are routinely calculated in molecular dynamics simulations by keeping the boundaries at different temperatures and measuring the slope of the temperature profile in the bulk of the material, explicitly using Fourier's…

Statistical Mechanics · Physics 2021-04-13 Yuanyang Ren , Kai Wu , David Cubero

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

Thermal transport is an important energy transfer process in nature. Phonon is the major energy carrier for heat in semiconductor and dielectric materials. In analogy to Ohm's law for electrical conductivity, Fourier's law is a fundamental…

Statistical Mechanics · Physics 2012-11-27 Sha Liu , Xiangfan Xu , Rongguo Xie , Gang Zhang , Baowen Li

Results of heat pulse experiments in various artificial and natural materials are reported in the paper. The experiments are performed at room temperature with macroscopic samples. It is shown that temperature evolution does not follow the…

Statistical Mechanics · Physics 2018-05-08 P. Ván , A. Berezovski , T. Fülöp , Gy. Gróf , R. Kovács , Á. Lovas , J. Verhás
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