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The Lorentz model for neutrinos: Exact solution

Author

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  • Piasecki, J.
  • Wajnryb, E.

Abstract

The initial value problem for the linear Boltzmann equation describing the propagation of neutrinos in a medium composed of nuclei is rigorously solved. The structure of the equation corresponds to the Lorentz model with an angle-dependent scattering cross-section. A method yielding the rigorous solution in the case of an arbitrary angular dependence of the cross-section is described.

Suggested Citation

  • Piasecki, J. & Wajnryb, E., 1985. "The Lorentz model for neutrinos: Exact solution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 133(1), pages 291-301.
    • Handle: RePEc:eee:phsmap:v:133:y:1985:i:1:p:291-301
    DOI: 10.1016/0378-4371(85)90068-8
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    Cited by:

    1. Jasiukiewicz, Cz. & Paszkiewicz, R. & Woźny, J., 1989. "Crossover from kinetic to diffusive behaviour for a class of generalized models of the Lorentz gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 158(3), pages 864-893.
    2. Calkoen, Ch.J. & van Weert, Ch.G., 1986. "Collision brackets in quantum kinetic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 135(2), pages 370-387.

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