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Numerical and experimental studies of long-range magnetic dipolar interactions

J. Chem. Phys. 121, 1454 (2004); doi:10.1063/1.1747885

Issue Date: 15 July 2004

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M. P. Ledbetter and I. M. Savukov
Department of Physics, Princeton University, Princeton, New Jersey 08544

L.-S. Bouchard
Department of Chemistry, Princeton University, Princeton, New Jersey 08544

M. V. Romalis
Department of Physics, Princeton University, Princeton, New Jersey 08544
We describe several numerical methods developed to analyze the behavior of spin polarized liquids in the presence of long-range magnetic dipolar interactions and external field gradients. Two of the methods use a discrete lattice of spins. In the first we calculate the magnetic field from the lattice of spins directly, either in the rotating frame, or in the lab frame. In the second method we include the dipolar fields from linear magnetization gradients analytically and calculate the dipolar fields from higher order gradients in Fourier space, where they are a local function of the magnetization. In the third method the magnetization is expanded in a Taylor series and the dipolar fields are calculated analytically for each term. The results of these calculations are compared to experimental data, in which we use two superconducting quantum interference device magnetometers adjacent to a spherical sample of hyperpolarized liquid 129Xe to detect the evolution of magnetization gradients. In particular, we observe an increase by a factor of 100 of the spin dephasing time in a longitudinal magnetic field gradient due to dipolar interactions of the spins. While each of the numerical techniques has certain limitations, they are generally in agreement with each other and with experimental data. ©2004 American Institute of Physics.
History: Received 24 November 2003; accepted 24 March 2004
Permalink: http://link.aip.org/link/?JCPSA6/121/1454/1
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KEYWORDS and PACS

Keywords
PACS
  • 75.50.Mm
    Magnetic liquids
  • 75.60.Ej
    Magnetization curves, hysteresis, Barkhausen and related effects
  • 02.30.Nw
    Fourier analysis
  • 02.60.-x
    Numerical approximation and analysis
  • 02.30.Uu
    Integral transforms
  • YEAR: 2004

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PUBLICATION DATA

ISSN:
0021-9606 (print)   1089-7690 (online)
Publisher:
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