2006/06/30 by L. S. Garcı́a-Colı́n, L. S. Garcia-Colin, A. L. García-Perciante +2
Mathematics · Physics and Astronomy · #Boltzmann equation #Condensed matter physics #Diffusion #Gas Dynamics and Kinetic Theory #Magnetic field #Nuclear physics #Perpendicular #Physics #Plasma #Quantum mechanics #Quantum, superfluid, helium dynamics #Thermal #Thermal conduction #Thermal conductivity #Thermal diffusivity #Thermodynamics #Vacuum and Plasma Arcs #Work (physics) #astro-ph #physics.plasm-ph
paper · pdf · doi:10.1063/1.2428279
published as Phys.Plasmas14:12305,2007 · LaTex, 5 figures
openalex publication_date 2007/01/01 · arxiv created 2007/05/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is well known that magnetic fields affect heat conduction in a different way in the direction parallel and perpendicular to the field. In this paper, a formal derivation of this phenomenon and analytical expressions for the transport coefficients based in the Boltzmann equation are presented. Moreover, the Dufour effect or diffusion thermo-effect is usually ignored in plasma transport theory. This effect is shown here to be not only relevant but also the most important source of heat conduction for weak magnetic fields. In this work, analytic expressions for the parallel and perpendicular thermal conductivities as well as the coefficients for both the thermal diffusion, or Soret, effect and the Dufour effect are formally derived. It is also shown how the heat conduction in the perpendicular direction decreases with increasing magnetic field and how in both directions the diffusion thermo-effect is far more important than thermal conduction, leading to a new effective thermal conductivity coefficient. Other aspects of this work are also emphasized.