Static Zero Field Relaxation: Difference between revisions
(Created page with "Relaxonomy --> here ---- By convention we define the muon spin polarization <math>\vec{P}</math> to be initially in the <math>z</math> direction when there is no applied...") |
mNo edit summary |
||
| Line 2: | Line 2: | ||
---- |
---- |
||
By convention we define the muon spin polarization <math>\vec{P}</math> to be initially in the <math>z</math> direction when there is no applied magnetic field ('''ZF'''). The relaxation of <math>\vec{P}</math> is then described by |
By convention we define the muon spin polarization <math>\vec{P}</math> to be initially in the <math>\hat{z}</math> direction when there is no applied magnetic field ('''ZF'''). The relaxation of <math>\vec{P}</math> is then described by |
||
<center><math> g_{zz}(t) \; \equiv \; \langle P_z(0) \, P_z(t) \rangle \; , </math></center> |
<center><math> g_{zz}(t) \; \equiv \; \langle P_z(0) \, P_z(t) \rangle \; , </math></center> |
||
Revision as of 19:34, 13 September 2022
Relaxonomy --> here
By convention we define the muon spin polarization <math>\vec{P}</math> to be initially in the <math>\hat{z}</math> direction when there is no applied magnetic field (ZF). The relaxation of <math>\vec{P}</math> is then described by
where the lower case <math>g_{zz}(t)</math> denotes the static case of the more general <math>G_{zz}(t)</math> relaxation function.
Like "relaxation" in TF, this formulation suffers from several assumptions that are frequently invalid: first, that the average local magnetic field <math>\langle \vec{B_\mu} \rangle</math> at the muons is also zero; second, that any random local magnetic fields (RLMF) <math>\vec{B_\mu}</math> are distributed uniformly about zero in all three directions. The first assumption is not true for a magnetized ferromagnetic crystal, for example, and the second is probably not true in any single crystal environment with RLMF. In such cases this description is strictly invalid, but people use it as an approximation anyway.
