Measurement of persistence in 1D diffusion

Details Measurement of persistence in 1D diffusion Measurement of persistence in 1D diffusion

2000-08-31

arxiv.org/abs/physics/0008248v2

Physical Review Letters volume 86, number 18, pp.4156-4159 (2001)

Physics

Atomic Physics

4 pages, 4 figures; figure 2 has been changed from original submission; references added; minor changes in text to clarify poi

Scientific paper

10.1103/PhysRevLett.86.4156

Using a novel NMR scheme we observed persistence in 1-D gas diffusion. Analytical approximations and numerical simulations have indicated that for an initially random array of spins undergoing diffusion, the probability p(t) that the average spin magnetization in a given region has not changed sign (i.e., ``persists'') up to time t follows a power law t^{-\theta}, where \theta\ depends on the dimensionality of the system. Using laser-polarized ^{129}Xe gas, we prepared an initial ``quasirandom'' 1D array of spin magnetization and then monitored the ensemble's evolution due to diffusion using real-time NMR imaging. Our measurements are consistent with analytical and numerical predictions of \theta \approx 0.12.

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