Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: NMR line shapes of a gas of nuclear spin-1/2 molecules in fluctuating
  nano-containers   Reported in this paper is the impact of the fluctuations of the geometry of
the nano-meter gas containers in the medium on the NMR line shape of the gas
inside of the nano-containers. We calculate exactly the NMR line shape of the
gas of spin-1/2 carrying molecules for two typical dynamics of the
nano-container volume and the orientation with respect to the external magnetic
field: (i) for a Gaussian stochastic dynamics, and (ii) for the regular
harmonic vibrations. For the Gaussian ensemble of static disordered containers
having an infinite correlation time, $\tau_{\sf c} \to \infty $, the overall
line shape is shown to obey a logarithmic low frequency asymptotics, $
I(\omega) = {const} \times \ln (\frac{1}{\omega})$, at $\omega \to 0$, and
exponentially decaying asymptotics in a high frequency domain. For the Gaussian
ensemble of the rapidly fluctuating containers of a finite $\tau_{\sf c}$, the
overall line shape has a bell-shaped profile with $\sim \omega^{-4}$ far wing
behaviour. In addition, we calculate exactly a satellite structure of the NMR
line shape when the nano-bubbles in a liquid are affected by the harmonic
deformations due to the acoustic waves.

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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat