SpinGlass¶

Description¶

Fitting function for use by Muon scientists defined by:

$A(t) = A_0\left(\frac{1}{3}e^{-\sqrt{\Omega t}}+\frac{2}{3}\left(1-\frac{Qa^2t^2}{\sqrt{\Omega t+Qa^2t^2}}\right)e^{-\sqrt{\Omega t + Qa^2t^2}}\right)$

$\Omega = \frac{4(1-Q)a^2}{\nu}$

where,

$A_0$ is the amplitude,

$Q$ is the order parameter,

$\nu$ is the rate of Markovian modulation,

and $a$ is the half-width half maximum of the local field Lorentzian Distribution.

Note that $0<q<1$ and $\gamma>0$

(Source code, png, hires.png, pdf)

Properties (fitting parameters)¶

Name	Default	Description
A0	0.2	Asymmetry
Width	0.1	Half-width half maximum of the local field Lorentzian Distribution
Nu	1.0	Rate of Markovian modulation
Q	0.1	Order Parameter

References¶

[1] Y. Uemura et al., Phys. Rev. B 31 546 (1985).

Categories: FitFunctions | Muon\MuonSpecific

Source¶

Python: SpinGlass.py (last modified: 2020-03-20)