9 J ul 2 00 1 Measurement of persistence in 1 - D diffusion

نویسندگان

  • Glenn P. Wong
  • Ross W. Mair
  • Ronald L. Walsworth
  • David G. Cory
چکیده

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−θ, where θ depends on the dimensionality of the system. Using laser-polarized 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 θ ≈ 0.12.

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تاریخ انتشار 2013