PMID: 11328119May 1, 2001Paper

Measurement of persistence in 1D diffusion

Physical Review Letters
G P WongD G Cory

Abstract

Using a novel NMR scheme we observed persistence in 1D 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(-straight theta), where straight theta depends on the dimensionality of the system. Using laser-polarized 129Xe 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 straight theta approximately 0.12.

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Citations

Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M Constantin, S Das Sarma
Jul 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S N MajumdarG C Ehrhardt
Feb 28, 2002·Physical Review Letters·George C M A Ehrhardt, Alan J Bray
Jun 13, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S J O'Donoghue, A J Bray
Nov 3, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S N Majumdar, D Dhar
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M ConstantinS Das Sarma
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Feb 2, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A V Kargovsky
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