PMID: 15244544Jul 13, 2004Paper

Self-diffusion in a system of interacting Langevin particles

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
D S Dean, A Lefèvre

Abstract

The behavior of the self-diffusion constant of Langevin particles interacting via a pairwise interaction is considered. The diffusion constant is calculated approximately within a perturbation theory in the potential strength about the bare diffusion constant. It is shown how this expansion leads to a systematic double expansion in the inverse temperature beta and the particle density rho. The one-loop diagrams in this expansion can be summed exactly and we show that this result is exact in the limit of small beta and rhobeta constants. The one-loop result can also be resummed using a semiphenomenological renormalization group method which has proved useful in the study of diffusion in random media. In certain cases the renormalization group calculation predicts the existence of a diverging relaxation time signaled by the vanishing of the diffusion constant, possible forms of divergence coming from this approximation are discussed. Finally, at a more quantitative level, the results are compared with numerical simulations, in two dimensions, of particles interacting via a soft potential recently used to model the interaction between coiled polymers.

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Citations

Sep 11, 2009·The Journal of Chemical Physics·Matthias Krüger, Markus Rauscher
Dec 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Johannes TaktikosHolger Stark
Aug 22, 2020·Psychotherapie, Psychosomatik, medizinische Psychologie·Beatrice Thielmann, Irina Böckelmann
Jul 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Vincent Démery
Mar 21, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nicolas Destainville
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Igor Goncharenko, Ajay Gopinathan

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