dorsal/arxiv
View SchemaMeasurement of persistence in 1D diffusion
| Authors | Glenn P. Wong, Ross W. Mair, Ronald L. Walsworth, David G. Cory |
|---|---|
| Categories | |
| ArXiv ID | physics/0008248 |
| URL | https://arxiv.org/abs/physics/0008248 |
| DOI | 10.1103/PhysRevLett.86.4156 |
| Journal | Physical Review Letters volume 86, number 18, pp.4156-4159 (2001) |
Abstract
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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"abstract": "Using a novel NMR scheme we observed persistence in 1-D gas diffusion.\nAnalytical approximations and numerical simulations have indicated that for an\ninitially random array of spins undergoing diffusion, the probability p(t) that\nthe average spin magnetization in a given region has not changed sign (i.e.,\n``persists\u0027\u0027) up to time t follows a power law t^{-\\theta}, where \\theta\\\ndepends on the dimensionality of the system. Using laser-polarized ^{129}Xe\ngas, we prepared an initial ``quasirandom\u0027\u0027 1D array of spin magnetization and\nthen monitored the ensemble\u0027s evolution due to diffusion using real-time NMR\nimaging. Our measurements are consistent with analytical and numerical\npredictions of \\theta \\approx 0.12.",
"arxiv_id": "physics/0008248",
"authors": [
"Glenn P. Wong",
"Ross W. Mair",
"Ronald L. Walsworth",
"David G. Cory"
],
"categories": [
"physics.atom-ph",
"cond-mat"
],
"doi": "10.1103/PhysRevLett.86.4156",
"journal_ref": "Physical Review Letters volume 86, number 18, pp.4156-4159 (2001)",
"title": "Measurement of persistence in 1D diffusion",
"url": "https://arxiv.org/abs/physics/0008248"
},
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