Two harmonically coupled Brownian particles in random media

Details Two harmonically coupled Brownian particles in random media Two harmonically coupled Brownian particles in random media

2001-07-23

arxiv.org/abs/cond-mat/0107472v1

Europhys. Lett. 54,424 (2001)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 3 figures

Scientific paper

10.1209/epl/i2001-00258-6

We study the behaviour of two Brownian particles coupled by an elastic harmonic force in a quenched disordered medium. We found that to first order in disorder strength, the relative motion weakens (with respect to the reference state of a Brownian particle with the double mass) the effect of the quenched forces on the centre of mass motion of the Brownian particles, so that the motion will become less subdiffusive (superdiffusive) for potential (solenoidal) disorder. The mean-square relative distance between the particles behaves in a different way depending of whether the particles are free to move or one particle is anchored in the space. While the effect of nonpotential disorder consists in increasing the mean-square distance in both cases, the potential disorder decreases the mean-square distance, when the particles are free to move, and increases it when one particle is anchored in the space.

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