and Static ZF Muon Spin Relaxation Functions

**D.R. Noakes
Physics Department
Virginia State University
Petersburg, VA 23806**

A variety of static local field distributions and their associated static ZF
Kubo-Toyabe *µSR* relaxation functions are derived by mathematical
manipulation, often without reference to any particular physical model of
any particular real material. The relation of such distributions and
relaxation functions, not already in use, to *µSR* in the lab is not
clear. However, the static Lorentzian Kubo-Toyabe function, which is in use,
is well known to be pathological because the field distribution has infinite
second moment, which causes the relaxation function to have a slope as
.
Most of the distributions discussed do not have such a
pathology.

- Uemura's Site-Distribution Trick
- Monotonic-decreasing field-magnitude distributions
- Incommensurate Magnetic Ordering
- Bibliography

2002-09-24