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2018 Journal Articles
2017 Journal Articles
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6. Invariant for one-dimensional heat conduction in dielectrics and metals

Seyed Mohammad Sajadi, Jose Ordonez-Miranda , James M. Hill , Younes Ezzahri , Karl Joulain and  Hadi Ghasemi

Europhysics Letters 118,  34001 (2017)

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We theoretically and experimentally demonstrate that the one-dimensional heat conduction in dielectrics and metals is ruled by the invariant T^4(z)+T^4(L−z) = constant, where T is the temperature and z an arbitrary position within the heated material of length L. This is achieved using the Boltzmann transport equation and measuring the temperature at three equidistant positions in rods of Si, Cu, and Fe-C.

5. Quantum thermal diode based on two interacting spinlike systems under different excitations

Jose Ordonez-Miranda, Younes Ezzahri and Karl Joulain

Phys. Rev. E 95, 022128 (2017)

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We demonstrate that two interacting spinlike systems characterized by different excitation frequencies and coupled to a thermal bath each, can be used as a quantum thermal diode capable of efficiently rectifying the heat current. This is done by deriving analytical expressions for both the heat current and rectification factor of the diode, based on the solution of a master equation for the density matrix.

3. Thermal and elastic characterization of glassy carbon thin films by photoacoustic measurements

Dragan D. Markushev, Jose Ordonez-Miranda, M. D. Rabasovic, M. Chirtoc, D. M. Todorovic, S. E. Bialkowski, D. Korte and M. Franko

Eur. Phys. J. Plus 132, 33 (2017)

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A portable photoacoustic device is designed and applied to measure the thermal diffusivity and linear thermal expansion coefficient of glassy carbon by means of the standard photoacoustic model involving both the thermal diffusion and thermoelastic contributions. This is done by measuring the evolution of the open-cell photoacoustic signal within the modulation frequency interval of 20Hz–10 kHz, for four samples with thicknesses of 180 μm, 140 μm, 100 μm and 60 μm.

2. Diffusive-to-ballistic transition of the modulated heat transport in a rarefied air chamber

C. L. Gomez-Heredia, J. Macias, J. Ordonez-Miranda, O. Ares and J. J. Alvarado-Gil

AIP Advances 7, 015032 (2017)

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Modulated heat transfer in air subject to pressures from 760 Torr to 10-4 Torr is experimentally studied by means of a thermal-wave resonant cavity placed in a vacuum chamber. This is done through the analysis of the amplitude and phase delay of the photothermal signal as a function of the cavity length and pressure through of the Knudsen’s number. The viscous, transitional, and free molecular regimes of heat transport are observed for pressures P>1.5 Torr, 25 mTorr< P<1.5 Torr and P< 25 mTorr, respectively.

1. Heat transport in semiconductor crystals under large temperature gradients

Y. Ezzahri, J. Ordonez-Miranda and K. Joulain

Int. J. Heat Mass Transfer 108, 1357 (2017)

 

We analyze and discuss the fundamental behavior of the nonlocal/nonlinear contributions to heat transport by phonons in bulk cubic semiconductor crystals subject to large temperature gradients. The calculations are based on solving the steady-state Boltzmann-Peierls transport equation by expanding the phonon distribution function in a series of temperature gradients.

2016 Journal Articles

5. Measurement and modeling of the effective thermal conductivity of sintered silver pastes

Jose Ordonez-Miranda, Marrit Hermens, Ivan Nikitin, Varvara G. Kouznetsova, Olaf van der Sluis, Mohamad Abo Ras, J. S. Reparaz, M. R. Wagner, M. Sledzinska, J. Gomis-Bresco, C. M. Sotomayor Torres, Bernhard Wunderle and Sebastian Volz

Int. J. Thermal Sci. 108, 185 (2016)

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The effective thermal conductivity of sintered porous pastes of silver is modeled through two theoretical methods and measured by means of three experimental techniques. The first model is based on the differential effective medium theory and provides a simple analytical description considering the air pores like ellipsoidal voids, while the second one arises from the analysis of SEM images of the paste cross-sections through the finite element method.

4. Optimized thermal amplification in a radiative transistor

Hugo Prod'homme, Jose Ordonez-Miranda, Younes Ezzahri, Jeremie Drevillon and Karl Joulain

J. Appl. Phys.  119, 194502 (2016) 

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The thermal performance of a far-field radiative transistor made up of a VO2  base in between a blackbody collector and a blackbody emitter is theoretically studied and optimized. This is done by using the grey approximation on the emissivity of VO2  and deriving analytical expressions for the involved heat fluxes and transistor amplification factor.

3. Thermal energy transport in a surface phonon-polariton crystal

Jose Ordonez-Miranda, Laurent Tranchant, Karl Joulain, Younès Ezzahri,  Jérémie Drevillon and Sebastian Volz

Phys. Rev. B 93, 035428 (2016)

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We demonstrate that the energy transport of surface phonon polaritons can efficiently be observed in a crystal made up of a three-dimensional assembly of spheroidal nanoparticles of silicon carbide. The ultralow phonon thermal conductivity of this nanostructure, along with its high surface area-to-volume ratio, allows the predominance of the polariton energy over that generated by phonons.

2. Quantum Thermal Transistor

Karl Joulain, Jérémie Drevillon, Younès Ezzahri and Jose Ordonez-Miranda

Phys. Rev. Lett. 116, 200601 (2016) 

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We demonstrate that a thermal transistor can be made up with a quantum system of three interacting subsystems coupled to a thermal reservoir each. This thermal transistor is analogous to an electronic bipolar one with the ability to control the thermal currents that the collector and the emitter generates with the base. This is achieved by determining these heat fluxes through the strong coupling formalism.

1. Nanophononics: state of the art and perspectives

Sebastian Volz, Jose Ordonez-Miranda, Andrey Shchepetov, Mika Prunnila, Jouni Ahopelto, Thomas Pezeril, Gwenaelle Vaudel, Vitaly Gusev, Pascal Ruello, Eva M. Weig, Martin Schubert, Mike Hettich, Martin Grossman, Thomas Dekorsy, Francesc Alzina, Bartlomiej Graczykowski, Emigdio Chavez-Angel, J. Sebastian Reparaz, Markus R. Wagner, Clivia M. Sotomayor-Torres, Shiyun Xiong, Sanghamitra Neogi and Davide Donadio

Eur. Phys. J. B 89, 15 (2016)

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In this colloquium, we assess the state of the art of nanophononics, describing the recent achievements and the open challenges in nanoscale heat transport, coherent phonon generation and exploitation, and in nano- and optomechanics. We also underline the links among the diverse communities involved in the study of nanoscale phonons, pointing out the common goals and opportunities.

6. Dynamical heat transport amplification in a far-field thermal transistor of VO2 excited with a laser of modulated intensity

Jose Ordonez-Miranda , Younès Ezzahri , Jérémie Drevillon and Karl Joulain

J. Appl. Phys.  119, 203105 (2016) 

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Far-field radiative heat transport in a thermal transistor made up of a vanadium dioxide base excited with a laser of modulated intensity is analytically studied and optimized. This is done by solving the equation of energy conservation for the steady-state and modulated components of the temperature and heat fluxes that the base exchanges with the collector and emitter. The thermal bi-stability of VO2  is used to find an explicit condition on the laser intensity required to maximize

these heat fluxes to values higher than the incident flux.

7. Transistor-like Device for Heating and Cooling Based on the Thermal Hysteresis of VO2

Jose Ordonez-Miranda, Younes Ezzahri, Jeremie Drevillon and Karl Joulain

Phys. Rev. Applied 6, 054003 (2016) 

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We demonstrate that a far-field transistor made up of a phase-change material base with thermal hysteresis can efficiently be used as a thermal device capable of heating and cooling. Based on the principle of energy conservation for the heat currents by radiation, conduction, and convection, it is shown that the base temperature undergoes significant jumps as the transistor amplification factor is optimized.

4. Thermal Conductance of a Surface Phonon-Polariton Crystal Made up of Polar Nanorods

Jose Ordonez-Miranda, Karl Joulain and Younes Ezzahri

Z. Naturforsch. 72, 135 (2017) 

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We demonstrate that the energy transport of surface phonon-polaritons can be large enough to be observable in a crystal made up of a three-dimensional assembly of nanorods of silicon carbide. The ultralow phonon thermal conductivity of this nanostructure along with its high surface area-to-volume ratio allows the predominance of the polariton energy over that generated by phonons.

7. Photonic thermal diode based on superconductors

Jose Ordonez-Miranda, Karl Joulain, Domingos De Sousa Meneses, Younès Ezzahri and Jérémie Drevillon

J. Appl. Phys. 122, 093105 (2017)

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A photonic thermal diode capitalizing on the strong contrast of Nb permittivity around its critical temperature separating its normal and superconducting states is proposed and analyzed in both the near- and far-fields. For a diode with terminals made of Nb and SiO2 and operating at temperatures 1 K and 8.7 K, the rectification factor is maximized to 71%, which occurs for the terminal separation distance of 59.9 μm and is among the highest values reported in the literature.

8. Polaritonic figure of merit of plane structures

Jose Ordonez-Miranda, Younès Ezzahri, Laurent Tranchant, Jérémie Drevillon, Sergei Gluchko, Karl Joulain and Sebastian Volz

Opt. Express 25, 25938 (2017)

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Based on the ability of plane structures to simultaneously optimize the propagation, confinement, and energy of surface plasmon-polaritons or surface phonon-polaritons, we develop the polaritonic figure of merit Z = beta*L^2/delta where beta, L and delta are the longitudinal wave vector, propagation length, and penetration depth, respectively. Explicit and analytical expressions of Z are derived for a single interface and a suspended thin film, as functions of the material permittivities and the film thickness.

2017 Journal Articles

1.Analytical description of the radiative-conductive heat transfer in a gray medium contained between two diffuse parallel plates

Jose Ordonez-Miranda, Denis Lemonnier, Younès Ezzahri and Karl Joulain

Appl. Math. Model. 56, 51 (2018)

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Explicit analytical solutions for the temperature and heat flux in a gray medium contained between two diffuse parallel plates are derived for both pure thermal radiation and coupled conduction-radiation heat transfer. This is achieved by combining the integral equations for the heat flux and temperature predicted by the radiative transfer equation with the corresponding predictions of the discrete ordinates method. The algebraic formulation of this well-known method is used to derive analytical results that agree with their corresponding numerical ones with an accuracy greater than 99.9%, for a large interval of optical thicknesses and conduction-to-radiation factors.

2. Conductive thermal diode based on the thermal hysteresis of VO2 and nitinol

Jose Ordonez-Miranda, James M. Hill, Karl Joulain Younès Ezzahri and Jérémie Drevillon

J. Appl. Phys. 123, 085102 (2018)

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We theoretically demonstrate that the junction between a phase-change material with a phaseinvariant one can efficiently function as a conductive thermal diode. Analytical expressions for the heat flux and optimal rectification factor are derived and analyzed for junctions whose operations are driven by the thermal conductivity hysteresis of both VO2  and nitinol.

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