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29 March 2024
 
  » arxiv » 1411.0263

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Universal free energy distribution in the critical point of a random Ising ferromagnet
Victor Dotsenko ; Yu. Holovatch ;
Date 2 Nov 2014
AbstractWe discuss the non-self-averaging phenomena in the critical point of weakly disordered Ising ferromagnet. In terms of the renormalized replica Ginzburg-Landau Hamiltonian in dimensions D <4 we derive an explicit expression for the probability distribution function (PDF) of the critical free energy fluctuations. In particular, using known fixed-point values for the renormalized coupling parameters we obtain the universal curve for such PDF in the dimension D=3. It is demonstrated that this function is strongly asymmetric: its left tail is much more slow than the right one.
Source arXiv, 1411.0263
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