Abstract
In this work, we study an isotropic random motion of a particle whose velocity has the Maxwell–Boltzmann distribution. We give some specific results for the one-, three-, and d-dimensional cases. In all of them, the particle position at a given time t is normal- or Gauss-distributed.
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Presented by V. Ryazanov
Translated from Ukrains'kiĭ Matematychnyĭ Visnyk, Vol. 20, No. 4, pp. 577–585, October–December, 2023.
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Pogorui, A.A., Rodríguez-Dagnino, R.M. Isotropic evolution process with Gauss-distributed particle position in ℝd. J Math Sci 279, 92–98 (2024). https://doi.org/10.1007/s10958-024-06989-2
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DOI: https://doi.org/10.1007/s10958-024-06989-2