PCRmagnetZFKT.rst

PCRmagnetZFKT

.. index:: PCRmagnetZFKT

Description

ZF signal from PCR ordered magnet with Kubo Toyabe field contribution

A(t)=A_0 \left(\frac13+\frac23e^{-(\Delta t')^2/2}\left(\cos(\Delta t)-\frac{\Delta^2}{\omega} t\sin(\omega t)\right)\right)\\

where,

\omega=g_\mu H_0 ,

t'=t-t_\text{off} ,

A_0 is the amplitude,

\Delta (MHz) is the relaxation rate,

H0 (G) is the local magnetic field,

g_\mu is the gyromagnetic ratio of muons,

and t_\text{off} (microsecs) is the time offset.

.. 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("PCRmagnetZFKT")
   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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