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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Diffusion processes and memory effects

Focus on Brownian Motion and Diffusion in the 21st Century

Anatolii V Mokshin1, Renat M Yulmetyev1 and Peter Hänggi2

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Part of Focus on Brownian Motion and Diffusion in the 21st Century

We report the results of the numerical estimation of statistical memory effects in diffusion for two various systems: Lennard-Jones fluids and the model of the Brownian particle in a one-dimensional harmonic lattice. We have found the relation between the diffusion coefficient and the non-Markovity parameter, which is linear for the Lennard-Jones systems in liquid state. The relation between the memory measure and the excess entropy is also discussed here.


PACS

66.10.C- Diffusion and thermal diffusion

02.50.-r Probability theory, stochastic processes, and statistics

05.40.Jc Brownian motion

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

MSC

82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs

60J65 Brownian motion (See also 58J65)

76R50 Diffusion (See also 60J60)

Subjects

Soft matter, liquids and polymers

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 1 (January 2005)

Received 9 August 2004

Published 31 January 2005



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