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Redfield.rst

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Redfield

.. index:: Redfield

Description

The Redfield formula for the LF dependence on the muon spin relaxation rate.

\Lambda(t)= A_0\frac{2\gamma^2_\mu H^2_\text{loc}\tau}{1+\gamma^2_\mu H^2_\text{LF} \tau^2}

where,

A_0 is the amplitude of asymmetry,

H_\text{loc} is the local magnetic field,

H_\text{LF} is the longitudinal magnetic field applied,

and its expression is given as \tau = \frac{1}{f} where f is the frequency of fluctuation at muon sites.

.. plot::

   from mantid.simpleapi import FunctionWrapper
   import matplotlib.pyplot as plt
   import numpy as np
   x = np.logspace(-2, 4, num = 1000)
   y = FunctionWrapper("Redfield")
   fig, ax=plt.subplots()
   ax.plot(x, y(x))
   ax.set_xlabel('t($\mu$s)')
   ax.set_ylabel('A(t)')

.. attributes::

.. properties::

References

[1] Takao Suzuki et al, J. Phys.: Conf. Ser. 502 012041 (2014).

.. categories::

.. sourcelink::