Physics – Data Analysis – Statistics and Probability
Scientific paper
2010-10-30
Phys. Rev. E 84, 011122 (2011)
Physics
Data Analysis, Statistics and Probability
11 pages, 9 figures
Scientific paper
10.1103/PhysRevE.84.011122
The phenomenon of Coulombic friction enters the stochastic description of dry friction between two solids and the statistic characterization of vibrating granular media. Here we analyze the corresponding Fokker-Planck equation including both velocity and spatial components, exhibiting a formal connection to a quantum mechanical harmonic oscillator in the presence of a delta potential. Numerical solutions for the resulting spatial displacement statistics show a crossover from exponential to Gaussian displacement statistics. We identify a transient intermediate regime that exhibits multiscaling properties arising from the contribution of Coulombic friction. The possible role of these effects during observations in diffusion experiments is shortly discussed.
Goldenfeld Nigel
Menzel Andreas M.
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