The manner in which an electronic spin, executing a linear random walk,
e.g. along a polymer chain, depolarizes a muon (or proton) probe spin,
is investigated by computer simulation. The essential features of the model
are the assumptions of a contact hyperfine interaction with limited range
and of loss of coherence between successive encounters. The low dimensionality
of the motion is reflected in the shape of the relaxation functions generated,
which depart significantly from simple exponentials. Fits to various functional
forms are examined for different combinations of hop rate and chain length,
hyperfine constant and applied magnetic field.
Link
to the Hyperfine Interactions abstract page.