PCRmagRedfield.rst

PCRmagRedfield

.. index:: PCRmagRedfield

Description

ZF signal from PCR ordered magnet with Redfield Fluctuations.

A(t)= \begin{cases} A_0\left(\frac13+\frac23e^{-\frac{\Delta^4}{q}t}\cos{\omega t}\right), & q\geq 0 \\ A_0\left(\frac13+\frac23\cos{\omega t}\right), & \text{otherwise} \end{cases}

where,

q=\nu(\nu^2+\Delta^2) ,

\omega = 2\pi\Delta ,

A_0 is the amplitude,

\lambda (MHz) is the relaxation rate,

and \Delta is the precession frequency.

.. plot::

   from mantid.simpleapi import FunctionWrapper
   import matplotlib.pyplot as plt
   import numpy as np
   x = np.arange(0.1,16,0.1)
   y = FunctionWrapper("PCRmagRedfield")
   fig, ax=plt.subplots()
   ax.plot(x, y(x))
   ax.set_xlabel('t($\mu$s)')
   ax.set_ylabel('A(t)')

.. attributes::

.. properties::

References

[1] F.L. Pratt, Physica B 289-290, 710 (2000).

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