Thermal Metamaterials for Enhanced Non-Fourier Heat Transport

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Bibliographic Details
Main Authors:	Mclean, Harry, Davies, Francis Huw, Taylor, Ned Thaddeus, Hepplestone, Steven Paul
Format:	Preprint
Published:	2025
Subjects:	Materials Science
Online Access:	Acceder al recurso
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author	Mclean, Harry Davies, Francis Huw Taylor, Ned Thaddeus Hepplestone, Steven Paul
author_facet	Mclean, Harry Davies, Francis Huw Taylor, Ned Thaddeus Hepplestone, Steven Paul
contents	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 demonstrate that tailored material patterning significantly modifies heat transport dynamics with enhanced non-Fourier behaviour. By bridging phonon scattering mechanisms with macroscopic heat flux via a novel perturbation-theory approach, we derive the hyperbolic Cattaneo model directly from particle dynamics, establishing a direct link between relaxation time and phonon lifetimes. Our micro-scale patterned systems exhibit extended non-Fourier characteristics, where internal interfaces mediate wave-like energy propagation, diverging sharply from diffusive Fourier predictions. These results provide a unified framework connecting micro-scale interactions to macroscopic transport, resolving long-standing limitations of the Cattaneo model. This work underscores the transformative potential of thermal metamaterials for ultra-fast thermal management and nanoscale energy applications, laying a theoretical foundation for next-generation thermal technologies.
format	Preprint
id	arxiv_https___arxiv_org_abs_2508_03316
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	Thermal Metamaterials for Enhanced Non-Fourier Heat Transport Mclean, Harry Davies, Francis Huw Taylor, Ned Thaddeus Hepplestone, Steven Paul Materials Science 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 demonstrate that tailored material patterning significantly modifies heat transport dynamics with enhanced non-Fourier behaviour. By bridging phonon scattering mechanisms with macroscopic heat flux via a novel perturbation-theory approach, we derive the hyperbolic Cattaneo model directly from particle dynamics, establishing a direct link between relaxation time and phonon lifetimes. Our micro-scale patterned systems exhibit extended non-Fourier characteristics, where internal interfaces mediate wave-like energy propagation, diverging sharply from diffusive Fourier predictions. These results provide a unified framework connecting micro-scale interactions to macroscopic transport, resolving long-standing limitations of the Cattaneo model. This work underscores the transformative potential of thermal metamaterials for ultra-fast thermal management and nanoscale energy applications, laying a theoretical foundation for next-generation thermal technologies.
title	Thermal Metamaterials for Enhanced Non-Fourier Heat Transport
topic	Materials Science
url	https://arxiv.org/abs/2508.03316

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