Time-Harmonic Photothermal Heating by Nanoparticles in a Non-Fourier Medium

Rosa, A. Camacho de la; Becerril, David; Gómez-Farfán, Guadalupe; Esquivel‐Sirvent, R.

doi:10.1021/acs.jpcc.1c06874

Cited by 4 publications

(3 citation statements)

References 63 publications

(118 reference statements)

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“…When we solve either the CV equation or the DPL equation, there are two choices for the frequency and wavevector: (i) to assume that the frequency takes complex values while the wave vector is real [23,61], in general, this is useful for infinite and semi-infinite systems; (ii) to assume a real frequency and complex wavevector, generally used for finite systems. We adopt the second case since it is a more common approach in wave propagation phenomena, particularly problems involving boundaries [24,43].…”

Section: Basic Aspects Of the Kramers-kronig Relationsmentioning

confidence: 99%

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Causality in non-fourier heat conduction

Rosa

Esquivel‐Sirvent

2022

J. Phys. Commun.

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We present a study of the causal response of non-Fourier heat conduction by introducing a dispersive generalized thermal susceptibility and show it obeys Kramers-Kronig relations. In particular, we discuss the Cattaneo-Vernotte and the dual-phase lag models. The constitutive equations are written as a linear response theory and determine the conditions for which the dual-phase lag model does not satisfy Kramers-Kronig relations. An alternative model is presented to describe non-Fourier transport using the similarity with the causal response of viscoelastic materials to avoid this unphysical issue.

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Section: Basic Aspects Of the Kramers-kronig Relationsmentioning

confidence: 99%

“…The non-Fourier behavior is an important topic in applications such as photo-thermal therapy, where it is important to understand the temperature profile around nanoparticles that are heated by an external source [32,[42][43][44]. In micro and nanofluidics also a non-Fourier behavior is observed [45,46].…”

Section: Introductionmentioning

confidence: 99%

Causality in non-fourier heat conduction

Rosa

Esquivel‐Sirvent

2022

J. Phys. Commun.

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“…Our choice of solution is based on the analogy of Equation ( 2) with the telegrapher equation of electrodynamics [37] where the external fields are time-harmonic. In our case, the temperature field is assumed as time-harmonic, for example, heating with an intensity modulated laser [38] or having a time-harmonic heat source. This choice will help us compare our results with the case of a Fourier material that is also periodically excited [39].…”

Section: Thermal Waves-cattaneo-vernotte Equationmentioning

confidence: 99%

Bragg Mirrors for Thermal Waves

et al. 2021

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We present a numerical calculation of the heat transport in a Bragg mirror configuration made of materials that do not obey Fourier’s law of heat conduction. The Bragg mirror is made of materials that are described by the Cattaneo-Vernotte equation. By analyzing the Cattaneo-Vernotte equation’s solutions, we define the thermal wave surface impedance to design highly reflective thermal Bragg mirrors. Even for mirrors with a few layers, very high reflectance is achieved (>90%). The Bragg mirror configuration is also a system that makes evident the wave-like nature of the solution of the Cattaneo-Vernotte equation by showing frequency pass-bands that are absent if the materials obey the usual Fourier’s law.

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Transient effects in the coupling of thermal radiation and non-Fourier heat transport at the nano-scale

Becerril,

Camacho de la Rosa,

Esquivel-Sirvent

2023

Journal of Applied Physics

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In this work, we study thermalization between two bodies separated by a vacuum gap by coupling the non-Fourier behavior of the materials with the radiative heat transfer in the near-field. Unlike the diffusion-type temperature profile, in non-Fourier materials, the temperature behaves as a wave, changing the thermalization process. Due to the temperature profile induced by the coupling with conduction, we show that the radiative heat flux exchanged between the two bodies differs from the Fourier case and exhibits transient temperature effects at the onset of the thermalization process. These results have important implications in nanoscale thermal management, near-field solid-state cooling, and nanoscale energy conversion.

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Time-Harmonic Photothermal Heating by Nanoparticles in a Non-Fourier Medium

Cited by 4 publications

References 63 publications

Causality in non-fourier heat conduction

Causality in non-fourier heat conduction

Bragg Mirrors for Thermal Waves

Transient effects in the coupling of thermal radiation and non-Fourier heat transport at the nano-scale

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