.. _func-CriticalPeakRelaxationRate: ========================== CriticalPeakRelaxationRate ========================== .. index:: CriticalPeakRelaxationRate Description ----------- The Critical Peak Relexation Rate is defined as: .. math:: y = \frac{B_1}{(|x - T_c|)^a} + B_1\Theta(x < T_c) + B_2\Theta(x >= T_c) where: - :math:`S_c` - Scaling - :math:`T_c` - Critical temperature - :math:`a` - Critical exponent - :math:`B_1` - is a non-critical background when :math:`x < T_c` - :math:`B_2` - is a non-critical background when :math:`x >= T_c` When fitting users should set :math:`T_c` as the temperature at which the peak occurs. Users are also asked to supply two values for :math:`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]. .. attributes:: .. properties:: 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 `_. .. categories:: .. sourcelink::