2003/06/27 by Janina Marciak-Kozłowska, J. Marciak-Kozlowska, Marciak-Kozlowska, J. +3
Engineering · Physics and Astronomy · #Boltzmann constant #Boltzmann equation #Convection–diffusion equation #FOS: Physical sciences #Femtosecond #Heat equation #Laser #Laser Material Processing Techniques #Lattice Boltzmann methods #Materials Science (cond-mat.mtrl-sci) #Mechanics #Optics #Physics #Pulse (music) #Quantum mechanics #Relaxation (psychology) #Scattering #Thermography and Photoacoustic Techniques #Welding Techniques and Residual Stresses #cond-mat.mtrl-sci
paper · pdf · doi:10.48550/arxiv.cond-mat/0306700
14 pages
arxiv created 2003/06/27 · openalex publication_date 2003/06/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper the Boltzmann transport equation for thermal processes induced by ultra-short laser pulses is formulated and solved. For thermal process where the duration of the laser pulse (femtoseconds - attoseconds) is shorter than the relaxation time, the solution of Boltzmann equation differs from the solution of the Fourier equation. In this paper the formula for density current of the heat carrier is obtained. It is shown that for thin one-dimensional structures the current strongly depends on the scattering mechanism of the heat carriers. Key words: Boltzmann equation; Ultra-short laser pulses; Nonhomogenous materials.