Statistics
Scientific paper
Mar 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999aps..cntwc2808w&link_type=abstract
American Physical Society, Centennial Meeting, March 20-26, 1999, Atlanta, GA, Bulletin of the American Physical Society, Vol.
Statistics
Scientific paper
The phenomenon of "persistence" characterizes the statistics of first passage events in spatially extended non-equilibrium systems. For example, recent theory and numerical simulations have shown that the fraction of interdiffusing, randomly arranged spin regions that have not undergone a sign change as a function of time obeys a power law t^-theta, where the persistence exponent theta depends on both the dynamics and the dimensionality of the spin system. We present here a method for measuring theta in a system undergoing spin diffusion: magnetic resonance imaging (MRI) of laser polarized, spin 1/2 noble gases (either ^3He or ^129Xe). By creating a pseudo-random 1-D array of spin polarized regions in a long cylinder of laser polarized noble gas, we set up initial conditions to allow observation of persistence via a timed series of 1-D images. The particular advantage of this technique for persistence studies is its amenability to fine tuning of dimensionality, as well as initial and boundary conditions. Results from recent experiments will be compared with the calculated value of theta = 0.1203.
Mair Ross W.
Walsworth Ronald L.
Wong Glenn P.
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