Non-equilibrium energy transport in a thin metallic film: Analytical solution for radiative transport equation

Yilbaş, Bekir Sami; Al-Dweik, Ahmad Y.; Mansoor, Saad Bin

doi:10.1016/j.physb.2014.07.021

Cited by 22 publications

(10 citation statements)

References 11 publications

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“…They indicated that by taking into account excess electron energy loss via electron-substrate transport with a proposed temperature model, electron-phonon coupling factor measurements are more in line with theory, indicating that in highly non-equilibrium situations, the high temperature electron system loses substantial energy to the lattice subsystem. An analytical solution of the radiative transport equation for non-equilibrium energy transport in a thin metallic lm was introduced by Yilbas et al [23]. The ndings revealed that numerical predictions agree well with the results of the analytical solution.…”

Section: Introductionmentioning

confidence: 86%

Thermal transport across a thin film composite due to laser short-pulse heating

Mansoor

Yilbaş

2015

Journal of Non-Equilibrium Thermodynamics

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Laser short-pule irradiation of silicon-diamond-aluminum thin lms is considered and energy transport across the lms is modelled using the Boltzmann transport equation. Electron-phonon coupling is adopted to formulate energy transfer across the electron and lattice sub-systems in the aluminum lm. Thermal boundary resistance is incorporated at the lm interfaces. The transfer matrix method is used to account for the transmittance, re ection and absorption of the incident laser radiation across the lms. Equivalent equilibrium temperature is introduced to access energy transport in the lms, which represents the average energy of all phonons around a local point when they redistribute adiabatically to an equilibrium state. It is found that equivalent equilibrium temperature increases sharply in the electron sub-system due to electron excess energy gain from the irradiated eld. Equivalent equilibrium temperature decays gradually in the lattice sub-system with increasing period due to phonon scattering in the lm.

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Section: Introductionmentioning

confidence: 86%

Thermal transport across a thin film composite due to laser short-pulse heating

Mansoor

Yilbaş

2015

Journal of Non-Equilibrium Thermodynamics

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“…Moreover, the laser heating of the aluminum thin film should be modeled by means of a volumetric heat source term in the EPRT for the electron sub-system. The functional form of the electron-phonon coupling term as well as the volumetric heat source term should be incorporated in such a way that in the diffusive limit, the EPRT is expected to reduce the standard two-temperature model with a volumetric heat generation [11].…”

Section: Mathematical Formulation Of Energy Transportmentioning

confidence: 99%

“…The proposed modified Boltzmann equation for the energy transport should satisfy the conservation of energy [11] in the lattice sub-system and it can be written as: I p is the phonon intensity, ν p is the phonon speed, Λ p is the phonon mean free path, C v is the phonon volumetric heat capacity, θ is the polar angle, ϕ is the azimuthal angle, and G is the electron phonon coupling parameter. The proposed equation for the energy transport in the electron sub-system should satisfy the conservation of energy [11] and it can be written as: …”

Section: Eprt For Phonon Sub-systemmentioning

confidence: 99%

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Laser short-pulse heating of an aluminum thin film: Energy transfer in electron and lattice sub-systems

Mansoor

Yilbaş

2015

Physica B: Condensed Matter

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“…The assumption of a gray body is appropriate for radiative energy transfer in the electron subsystem of the thin film [1]. Therefore, the proposed equation for energy transport in the electron subsystem, including the electron-phonon coupling, should satisfy the conservation of energy; and it can be written as [16] …”

Section: Electron Subsystemmentioning

confidence: 99%

Effect of Film Thickness on Energy Transport Characteristics in Aluminum Thin Film

Ali

Yilbaş

2015

Journal of Thermophysics and Heat Transfer

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Energy transfer in an aluminum thin film is considered due to a temperature disturbance at the film edges. Temperature oscillation is introduced at the high-temperature edge of the film, and the thermal response of the film is assessed through use of an equivalent equilibrium temperature. Transient frequency-dependent and frequencyindependent solutions of the Boltzmann equation are obtained for phonon intensity distributions in the lattice subsystem. An electron-phonon coupling parameter is incorporated in order to account for the thermal communication between electrons and lattice subsystems in the film. The dispersion relations are used in the solution of the frequency-dependent Boltzmann equation. The study is extended to include the effect of film thickness on energy transport characteristics. It is found that oscillation of the equivalent equilibrium temperature takes place within the film because of temperature oscillation at the high-temperature film edges and, as the film thickness increases, the amplitude of the temperature oscillation reduces considerably. The electron temperature closely follows the phonon temperature, provided that the characteristics of the electron temperature oscillation are different than the temperature oscillation in the lattice subsystem.

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Non-equilibrium energy transport in a thin metallic film: Analytical solution for radiative transport equation

Cited by 22 publications

References 11 publications

Thermal transport across a thin film composite due to laser short-pulse heating

Thermal transport across a thin film composite due to laser short-pulse heating

Laser short-pulse heating of an aluminum thin film: Energy transfer in electron and lattice sub-systems

Effect of Film Thickness on Energy Transport Characteristics in Aluminum Thin Film

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