Nonlinear Electron Heat Conduction Equation and Self similar method for 1-D Thermal Waves in Laser Heating of Solid Density DT Fuel

2011/05/22 by A. Mohammadian Pourtalari, Pourtalari, A. Mohammadian, M. A. Jafarizadeh +3
Engineering · Mathematics · Physics and Astronomy · #Atomic and Molecular Physics #FOS: Physical sciences #Laser-Plasma Interactions and Diagnostics #Laser-induced spectroscopy and plasma #Mathematical Physics (math-ph) #Plasma Physics (physics.plasm-ph) #math-ph #math.MP #physics.plasm-ph

paper · pdf · doi:10.48550/arxiv.1105.4311

21 pages, 7 figures

openalex publication_date 2011/05/22 · arxiv created 2011/11/23 · arxiv updated 2011/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Electron heat conduction is one of the ways that energy transports in laser heating of fusible target material. The aim of Inertial Confinement Fusion (ICF) is to show that the thermal conductivity is strongly dependent on temperature and the equation of electron heat conduction is a nonlinear equation. In this article, we solve the one-dimensional (1-D) nonlinear electron heat conduction equation with a self-similar method (SSM). This solution has been used to investigate the propagation of 1-D thermal wave from a deuterium-tritium (DT) plane source which occurs when a giant laser pulse impinges onto a DT solid target. It corresponds to the physical problem of rapid heating of a boundary layer of material in which the energy of laser pulse is released in a finite initial thickness.

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