Multiscaling at ferromagnetic-spin glass transition point of Random Energy Model and complexity

Details Multiscaling at ferromagnetic-spin glass transition point of Random Energy Model and complexity Multiscaling at ferromagnetic-spin glass transition point of Random Energy Model and complexity

2000-04-25

arxiv.org/abs/cond-mat/0004406v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, latex

Scientific paper

We calculate moments of free energy's finite size correction for the transition point between ferromagnetic and spin glass phases. We find, that those moments scale with the number of spins with different critical indices, characteristic for the multiscaling. This critical point corresponds to threshold of errorless coding for a gaussian noisy channel. We are give the definition of statistical complexity using this free energy approach.

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