Isotropic evolution process with Gauss-distributed particle position in ℝd

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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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 279; no. 1; pp. 92 - 98
Main Authors Pogorui, Anatoliy A., Rodríguez-Dagnino, Ramón M.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 2024
Springer Nature B.V
Subjects
Boltzmann distribution
Gaussian process
Mathematics
Mathematics and Statistics
Markovian stochastic evolution
Maxwell
Boltzmann velocities
Isotropic random motion
Gauss position
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Summary: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-024-06989-2