NMR for Equilateral Triangular Geometry under Conditions of Surface Relaxivity - Analytical and Random Walk Solution

Details NMR for Equilateral Triangular Geometry under Conditions of Surface Relaxivity - Analytical and Random Walk Solution NMR for Equilateral Triangular Geometry under Conditions of Surface Relaxivity - Analytical and Random Walk Solution

2005-08-18

arxiv.org/abs/cond-mat/0508412v2

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

We consider analytical and numerical solution of NMR relaxation under the condition of surface relaxation in an equilateral triangular geometry. We present an analytical expression for the Green's function in this geometry. We calculate the transverse magnetic relaxation without magnetic gradients present, single-phase, both analytically and numerically. There is a very good match between the analytical and numerical results. We also show that the magnetic signal from an equilateral triangular geometry is qualitatively different from the known solution: plate, cylinder and sphere, in the case of a nonuniform initial magnetization. Non uniform magnetization close to the sharp corners makes the magnetic signal very fast multi exponential. This type of initial configuration fits qualitatively with the experimental results by Song et al.[1]. It should also be noted that the solution presented here can be used to describe absorption of a chemical substance in an equilateral triangular geometry (for a stationary fluid).

Affiliated with

Also associated with

No associations

Rating

NMR for Equilateral Triangular Geometry under Conditions of Surface Relaxivity - Analytical and Random Walk Solution does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with NMR for Equilateral Triangular Geometry under Conditions of Surface Relaxivity - Analytical and Random Walk Solution, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and NMR for Equilateral Triangular Geometry under Conditions of Surface Relaxivity - Analytical and Random Walk Solution will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-119728