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Gaussian models for the distribution of Brownian particles in tilted periodic potentials

  • Autori: Kulikov, D A; Agudov, N V; Spagnolo, B
  • Anno di pubblicazione: 2011
  • Tipologia: Articolo in rivista (Articolo in rivista)
  • OA Link:


We present two Gaussian approximations for the time-dependent probability density function (PDF) of an overdamped Brownian particle moving in a tilted periodic potential. We assume high potential barriers in comparison with the noise intensity. The accuracy of the proposed approximated expressions for the time-dependent PDF is checked with numerical simulations of the Langevin dynamics. We found a quite good agreement between theoretical and numerical results at all times.