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Erik Lindahl

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Lipid diffusion<br />

• Frequently overestimated by an order<br />

of magnitude due to layer c-o-m motion!<br />

• Can be corrected after simulations too, though<br />

J. Chem. Phys., Vol. 115, No. 10, 8 September 2001 NMR relaxation in lipid bilayers<br />

4943<br />

vesicle tumbling or collective effects. We have derived analytical<br />

corrections for these contributions in appendix A, but<br />

none of the alternatives produce an asymptotic 1/ behavior.<br />

The proposed frequency dependence thus seems to be a<br />

good phenomenological model for the relatively limited frequency<br />

range covered by NMR experiments and mainly<br />

caused by the nonexponential relaxation from chain isomerization,<br />

but it would be quite puzzling if it persists to much<br />

lower frequencies in future measurements. In the opposite<br />

limit of high frequencies, simulations can access much<br />

higher regions than NMR experiments. Since the decay of<br />

the correlation function is strongly nonexponential even at<br />

short times, the calculated NMR relaxation rate does not approach<br />

a finite nonzero value in the limit of very high frequencies.<br />

On the contrary, it continues to zero.<br />

10 ns 100 ns MSD (10x slower than H2O)<br />

B. Lipid translational & reorientational diffusion<br />

FIG. 5. Center-of-mass mean square displacement of the lipids solid and<br />

the linear regression dashed. The inset shows probability distributions of<br />

one-dimensional displacements, i.e., diffusion propagators, for motions over

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