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CriticalPeakRelaxationRate.rst

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CriticalPeakRelaxationRate

.. index:: CriticalPeakRelaxationRate

Description

The Critical Peak Relexation Rate is defined as:

y = \frac{B_1}{(|x - T_c|)^a} + B_1\Theta(x < T_c) + B_2\Theta(x >= T_c)

where: - S_c - Scaling - T_c - Critical temperature - a - Critical exponent - B_1 - is a non-critical background when x < T_c - B_2 - is a non-critical background when x >= T_c

When fitting users should set T_c as the temperature at which the peak occurs. Users are also asked to supply two values for B_g. The first should be the value of y when x is at it's minimum. The second should be the value of y when x is at its maximum, minus the first background value.

Examples

An example of when this might be used is for examining the Chiral-like critical behaviour in antiferromagnet Cobalt Glycerolate[1] or in muon spin relaxation studies of critical fluctuations and diffusive spin dynamics in molecular magnets[2].

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References

[1] Pratt, F.L, Baker, P.J., Blundell, S.J., Lancaster, T., Green, M.A., and Kurmoo, M. (2007). Chiral-Like Critical Behaviour in the Antiferromagnet Cobalt Glycerolate. Phys. Rev. Lett., Vol 99 Issue 1, 017202 doi: 10.1103/PhysRevLett.99.017202. [2] Pratt, F. et al (2009) Muon spin relaxation studies of critical fluctuations and diffusive spin dynamics in molecular magnets. Physica B: Condensed Matter, Volume 404 Issues 5–7, pp585-589 doi: 10.1016/j.physb.2008.11.123.

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