Strange kinetics: conflict between density and trajectory description

Details Strange kinetics: conflict between density and trajectory description Strange kinetics: conflict between density and trajectory description

2001-12-12

arxiv.org/abs/cond-mat/0112205v1

Physics

Condensed Matter

Statistical Mechanics

submitted to Chemical Physics

Scientific paper

10.1016/S0301-0104(02)00543-8

We study a process of anomalous diffusion, based on intermittent velocity fluctuations, and we show that its scaling depends on whether we observe the motion of many independent trajectories or that of a Liouville-like equation driven density. The reason for this discrepancy seems to be that the Liouville-like equation is unable to reproduce the multi-scaling properties emerging from trajectory dynamics. We argue that this conflict between density and trajectory might help us to define the uncertain border between dynamics and thermodynamics, and that between quantum and classical physics as well.

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