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Universal free-energy distribution in the critical point of a random Ising ferromagnet
Victor Dotsenko1, Yurij Holovatch2
1LPTMC, Université Paris VI, 75252 Paris, France and L. D. Landau Institute for Theoretical Physics, 119334 Moscow, Russia.
Abstract:
We 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 slower than the right one.
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