Nonlocal electron heat transport and electron–ion energy 
transfer in the presence of strong collisional heating

Bibi, F. Alouani; Matte, J. P.

doi:10.1017/s0263034604222029

Cited by 6 publications

(5 citation statements)

References 12 publications

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“…Strongly nonequilibrium electron-ion system as a consequence of the short laser pulse duration can be produced in semiconductors~Stampfli & Bennemann, 1990;Ashitkov et al, 2002!, as well as in metals~Anisimov et al, 1977Schoenlein et al, 1992;Fal'kovskii & Mishchenko, 1997!, and also in plasmas~Alouani Bibi et al, 2004a, 2004b Heat balance in such electron-phonon system depends to a great extent on the energy transfer rate between the electrons and phonons. The energy relaxation between the electrons and crystalline lattice was considered by Kaganov et al~1957!, Allen~1987!, and Rethfeld et al~2002!.…”

Section: Introductionmentioning

confidence: 99%

Energy exchange between the lattice and electrons in a metal under femtosecond laser irradiation

Petrov

2005

Laser Part. Beams

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The energy transfer rate between the lattice and electrons in strongly nonequilibrium electron-phonon system of crystalline aluminum created by ultrashort femtosecond laser pulse is calculated in the frame of two-temperature model for a wide range of electron temperature. It is shown that the energy, transmitted from electrons to the lattice per unit volume of the crystal per unut time strongly increases when taking into account the umklapp processes in the electron-phonon scattering.

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Section: Introductionmentioning

confidence: 99%

Energy exchange between the lattice and electrons in a metal under femtosecond laser irradiation

Petrov

2005

Laser Part. Beams

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“…In particular, we shall see that it can be adapted to non linear models, and to complex systems where the kinetic equation is coupled to hydrodynamics equations. This is typically the situation which occur in plasma physics [1,24,43,45,49,54], and we shall go back to this issue elsewhere, see [46]. Here, we present instead a few applications in radiative transfer.…”

Section: Applicationsmentioning

confidence: 96%

“…Then, solvability of (2.12) and (2.13) relies on application of the Fredholm alternative for the operator Q. It follows that F (1)…”

Section: Diffusion Asymptotics Hilbert Expansionmentioning

confidence: 99%

“…Coming back to the expression obtained above for F (0) and F (1) , we end up with (2.9). Specializing to Assumption 2.5, we obtain…”

Section: Diffusion Asymptotics Hilbert Expansionmentioning

confidence: 99%

“…These nonlocal models have been introduced for complex kinetic equations arising in plasma physics, and they are currently used in numerical simulations of fusion plasmas. The introduction of such models dates back to [42,43], and we refer to further discussions and improvements to [1,24,25,45,46,48,49,54]. The objectives of the present contribution can be summarized as follows:…”

Section: Introductionmentioning

confidence: 99%

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Derivation of a Non-Local Model for Diffusion Asymptotics — Application to Radiative Transfer Problems

Goudon¹

2010

CiCP

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In this paper, we introduce a moment closure which is intended to provide a macroscopic approximation of the evolution of a particle distribution function, solution of a kinetic equation. This closure is of non local type in the sense that it involves convolution or pseudo-differential operators. We show it is consistent with the diffusion limit and we propose numerical approximations to treat the non local terms. We illustrate how this approach can be incorporated in complex models involving a coupling with hydrodynamic equations, by treating examples arising in radiative transfer. We pay a specific attention to the conservation of the total energy by the numerical scheme.

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Inertial fusion features in degenerate plasmas

et al. 2005

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Very high plasma densities can be obtained at the end of the implosion phase in inertial fusion targets, particularly in the so-called fast-ignition scheme~Tabak et al., 1994;Mulser & Bauer, 2004!, where a central hot spark is not needed at all. By properly tailoring the fuel compression stage, degenerate states can be reached~Azechi et al., 1991; Nakai et al., 1991; McCory, 1998!. In that case, most of the relevant energy transfer mechanisms involving electrons are affected Honrubia & Tikhonchuk, 2004; Bibi & Matte, 2004; Bibi et al., 2004!. For instance, bremsstrahlung emission is highly suppressed~Eliezer et al., 2003!.In fact, a low ignition-temperature regime appears at very high plasma densities, due to radiation leakage reduction~León et al., 2001!. Stopping power and ion-electron coulomb collisions are also changed in this case, which are important mechanisms to trigger ignition by the incoming fast jet, and to launch the fusion wave from the igniting region into the colder, degenerate plasma. All these points are reviewed in this paper. Although degenerate states would not be easy to obtain by target implosion, they present a very interesting upper limit that deserves more attention in order to complete the understanding on the different domains for inertial confinement fusion.

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Nonlocal electron heat transport and electron–ion energy transfer in the presence of strong collisional heating

Cited by 6 publications

References 12 publications

Energy exchange between the lattice and electrons in a metal under femtosecond laser irradiation

Energy exchange between the lattice and electrons in a metal under femtosecond laser irradiation

Derivation of a Non-Local Model for Diffusion Asymptotics — Application to Radiative Transfer Problems

Inertial fusion features in degenerate plasmas

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