2000/08/31 by Glenn P. Wong, G. P. Wong, R. W. Mair +3 · 1 citation
Mathematics · Medicine · Physics and Astronomy · #Advanced MRI Techniques and Applications #Atomic and Subatomic Physics Research #Condensed matter physics #Curse of dimensionality #Diffusion #Magnetic field #Magnetization #Mathematical analysis #Mathematics #Nuclear magnetic resonance #Persistence (discontinuity) #Physics #Power law #Quantum mechanics #Quantum, superfluid, helium dynamics #Sign (mathematics) #Spin (aerodynamics) #Spin diffusion #Spins #Statistical physics #Statistics #Thermodynamics #cond-mat #physics.atom-ph
paper · pdf · doi:10.1103/physrevlett.86.4156
published as Physical Review Letters volume 86, number 18, pp.4156-4159 (2001) · 4 pages, 4 figures; figure 2 has been changed from original submission; references added; minor changes in text to clarify points
openalex publication_date 2001/04/30 · arxiv created 2001/07/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.