.. index:: SpinGlass
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
.. plot:: from mantid.simpleapi import FunctionWrapper import matplotlib.pyplot as plt import numpy as np x = np.arange(0.0,16,0.01) y = FunctionWrapper("SpinGlass") fig, ax=plt.subplots() ax.plot(x, y(x)) ax.set_xlabel('t($\mu$s)') ax.set_ylabel('A(t)')
.. attributes::
.. properties::
[1] Y. Uemura et al., Phys. Rev. B 31 546 (1985).
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.. sourcelink::