Brownian motion at absolute zero

Details Brownian motion at absolute zero Brownian motion at absolute zero

2005-06-08

arxiv.org/abs/cond-mat/0506196v1

Physical Review B, {\bf 45}, 8123 (1992)

Physics

Condensed Matter

Statistical Mechanics

Published

Scientific paper

10.1103/PhysRevB.45.8123

We derive a general quantum formula giving the mean-square displacement of a diffusing particle as a function of time. Near {\bf 0 K} we find a universal logarithmic behavior (valid for times longer than the relaxation time), and deviations from classical behavior can also be significant at larger values of time and temperature. Our derivation depends neither on the specific composition of the heat bath nor on the strength of the coupling between the bath and the particle. An experimental regime of microseconds and microdegrees Kelvin would elicit the pure logarithmic diffusion.

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