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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…

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 existence of non-Fourier heat conduction is known for a long time in small and low temperature systems. The deviation from Fourier's law has been found at room temperature in heterogeneous materials like rocks and metal foams…

Statistical Mechanics · Physics 2018-04-17 Róbert Kovács

The Guyer-Krumhansl heat equation has numerous important practical applications in both low-temperature and room temperature heat conduction problems. In recent years, it turned out that the Guyer-Krumhansl model can effectively describe…

Analysis of PDEs · Mathematics 2022-07-14 Anderson Ramos , Róbert Kovács , Mirelson Freitas , Almeida Júnior

A novel equation of heat conduction is derived with the help of a generalized entropy current and internal variables. The obtained system of constitutive relations is compatible with the momentum series expansion of the kinetic theory. The…

Statistical Mechanics · Physics 2015-04-16 R. Kovács , P. Ván

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

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 heat pulse (flash) experiment is a well-known and widely accepted method to measure the thermal diffusivity of a material. In recent years, it is observed that the thermal behavior of heterogeneous materials can show deviation from the…

Applied Physics · Physics 2021-01-05 Anna Fehér , Róbert Kovács

There are various situations where the classical Fourier's law for heat conduction is not applicable, such as heat conduction in heterogeneous materials or for modeling low-temperature phenomena. In such cases, heat flux is not directly…

Statistical Mechanics · Physics 2018-05-04 A. Rieth , R. Kovács , T. Fülöp

The experimental basis and theoretical background of non-Fourier heat conduction is shortly reviewed from the point of view of non-equilibrium thermodynamics. The performance of different theories is compared in case of heat pulse…

Statistical Mechanics · Physics 2016-08-04 Peter Ván

A linear irreversible thermodynamic framework of heat conduction in rigid conductors is introduced. The deviation from local equilibrium is characterized by a single internal variable and a current intensity factor. A general constitutive…

Statistical Mechanics · Physics 2014-04-08 P. Ván , T. Fülöp

It is a long-lasting task to understand heat conduction phenomena beyond Fourier. Besides the low-temperature experiments on extremely pure crystals, it has turned out recently that heterogeneous materials with macro-scale size can also…

The main objective of this paper is to show that, within the present framework of the kinetic theoretical approach to irreversible thermodynamics, there is no evidence that provides a basis to modify the ordinary Fourier equation relating…

Condensed Matter · Physics 2009-10-28 L. S. Garcia-Colin , V. Micenmacher

Among the numerous heat conduction models, the Guyer--Krumhansl equation has a special role. Besides its various application possibilities in nanotechnology, cryotechnology, and even in case of modeling heterogeneous materials, it poses…

Applied Physics · Physics 2024-05-16 Mátyás Szücs , Carmelo Filippo Munafo , Róbert Kovács

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

We study the properties of heat conduction induced by non-Gaussian noises from athermal environments. We find that new terms should be added to the conventional Fourier law and the fluctuation theorem for the heat current, where its average…

Statistical Mechanics · Physics 2013-05-28 Kiyoshi Kanazawa , Takahiro Sagawa , Hisao Hayakawa

The purpose of this work is to produce a family of equations describing the evolution of the temperature in a rigid heat conductor. This is obtained by means of successive approximations of the Fourier law, via memory relaxations and…

Analysis of PDEs · Mathematics 2022-07-05 Filippo Dell'Oro , Vittorino Pata

We use nonequilibrium molecular dynamics (NEMD) to explore the effect of shear flow on heat flux. By simulating a simple fluid in a channel bounded by tethered atoms, the heat flux is computed for two systems: a temperature driven one with…

Soft Condensed Matter · Physics 2019-02-13 E. R. Smith , P. J. Daivis , B. D. Todd

The present work deals with irreversible Universal thermodynamics. The homogenous and isotropic flat model of the universe is chosen as open thermodynamical system and non-equilibrium thermodynamics comes into picture due to the mechanism…

General Relativity and Quantum Cosmology · Physics 2016-05-17 Subhajit Saha , Atreyee Biswas , Subenoy Chakraborty

The aim of this paper is to develop a general constitutive scheme within continuum thermodynamics to describe the behavior of heat flow in deformable media. Starting from a classical thermodynamic approach, the rate-type constitutive…

Mathematical Physics · Physics 2023-12-18 Claudio Giorgi , Federico Zullo
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