Paper
30 December 2003 Computational and experimental studies of spin chaos in magnetic resonance
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Abstract
Two prevalent interactions in high-field solution magnetic resonance -radiation damping and the dipolar field - are shown to generate instability in spin systems with bulk magnetization. The instability is studied numerically by computing the largest Lyapunov exponent associated with the long-time spin dynamics, which is shown to be positive. An algorithm for investigating dynamical fluctuations in a spatiotemporally chaotic spin system is presented, and the finite-time largest Lyapunov exponents are calculated to gain insight into the growth rates of the system as a function of time. Numerical simulations and experimental results are compared to account for the appearance of experimental anomalies observed in multiple spin echo and pulsed gradient spin echo experiments.
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Susie Yi Huang and Yung-Ya Lin "Computational and experimental studies of spin chaos in magnetic resonance", Proc. SPIE 5200, Applications and Science of Neural Networks, Fuzzy Systems, and Evolutionary Computation VI, (30 December 2003); https://doi.org/10.1117/12.512622
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KEYWORDS
Chaos

Complex systems

Magnetism

Spin dynamics

Diffusion

Modulation

Spectroscopy

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