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The Critical Peak Relexation Rate is defined as:
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.
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].
| Name | Type | Default | Description |
|---|---|---|---|
| Delta |
| Name | Default | Description |
|---|---|---|
| Scaling | 1.0 | coefficient for scaling |
| CriticalTemp | 0.01 | coefficient for critical temperature |
| Exponent | 1.0 | coefficient for critical exponent |
| Background1 | 0.0 | coefficient for non-critical background when x < Critical Temperature |
| Background2 | 0.0 | coefficient for non-critical background when x > Critical Temperature |
[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.
Categories: FitFunctions | Muon\MuonModelling\Magnetism