Spin-rotation effects in bounded spin diffusion

Ragan, Robert

doi:10.1007/bf00752279

Cited by 7 publications

(3 citation statements)

References 27 publications

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“…This result was obtained by Ragan. 6 The difference between M 0 ϭ0 and finite M 0 is in the phase shift of the echo signal, which is twice the phase built up from ϭ0 to ϭ e :…”

Section: Motional Narrowingmentioning

confidence: 99%

“…Leggett 2 derived the equations of motion for the magnetization in a Fermi liquid, but he calculated the echo signal for the case of unbounded diffusion only. Ragan 6 has taken into account boundary effects; however, the perturbative approach that he uses restricts the applicability of his results to the case of fast diffusion. Here, we investigate the spin echo signal in the three limiting cases: free diffusion, motional narrowing, and localization.…”

Section: Introductionmentioning

confidence: 97%

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Leggett-Rice effect in a finite geometry

et al. 2002

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The problem of restricted diffusion in the presence of the spin rotation effect is investigated theoretically. The concept of diffusion modes is applied to calculate the attenuation of the spin echo signal in a -180°NMR sequence. First we study the diffusion modes in a one-dimensional geometry and show that there are in general two types of modes: bulk modes and edge modes. Then we show that the spin rotation effect tends to delocalize the modes and favor edge modes. An expression of the spin echo signal is given as a linear combination of diffusion modes. We study the refocusing of the echo signal and show that the spin rotation effect causes a phase shift. Approximate analytical expressions for the echo signal are given in the three limiting cases: free diffusion, motional narrowing, and localization. Finally, we show that the results of some experiments on spin diffusion anisotropy in spin-polarized 3 HeϪ 4 He mixtures are biased by restricted diffusion effects.

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“…This result was obtained by Ragan. 6 The difference between M 0 ϭ0 and finite M 0 is in the phase shift of the echo signal, which is twice the phase built up from ϭ0 to ϭ e :…”

Section: Motional Narrowingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

Leggett-Rice effect in a finite geometry

et al. 2002

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“…Experiments with ultracold atomic gases typically employ a harmonic trapping potential which is both finite and inhomogeneous: in this case, the diffusivity D ⊥ 0 , the Leggett-Rice parameter µ, and the magnetization m z are strongly position dependent, and the diffusion equation (1) becomes nonlinear. In previous studies the evolution has been linearized in order to determine the collective mode frequencies and decay rates in the trapping potential [12]. Other studies consider the nonlinear evolution of the full phase-space distribution for a nondegenerate or collisionless trapped gas [13].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear spin diffusion and spin rotation in a trapped Fermi gas

Enss

2015

Phys. Rev. A

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Transverse spin diffusion in a polarized, interacting Fermi gas leads to the Leggett-Rice effect, where the spin current precesses around the local magnetization. With a spin-echo sequence both the transverse diffusivity and the spin-rotation parameter γ are obtained; the sign of γ reveals the repulsive or attractive character of the effective interaction. In a trapped Fermi gas the spin diffusion equations become nonlinear, and their numerical solution exhibits an inhomogeneous spin state even at the spin echo time. While the microscopic diffusivity and γ increase at weak coupling, their apparent values inferred from the trap-averaged magnetization saturate in agreement with a recent experiment for a dilute ultracold Fermi gas.

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Domain walls due to anisotropic diffusion in 3.8%3He−4He solutions

Ragan

1997

J Low Temp Phys

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Spin-rotation effects in bounded spin diffusion

Cited by 7 publications

References 27 publications

Leggett-Rice effect in a finite geometry

Leggett-Rice effect in a finite geometry

Nonlinear spin diffusion and spin rotation in a trapped Fermi gas

Domain walls due to anisotropic diffusion in 3.8%3He−4He solutions

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