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SpinGlass.rst

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SpinGlass

.. index:: 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

.. 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::

References

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

.. categories::

.. sourcelink::