Oscillatory critical amplitudes in hierarchical models | Zendy

Bernard Derrida | Zendy; C. Itzykson | Zendy; J. M. Luck | Zendy

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Oscillatory critical amplitudes in hierarchical models

Author(s) -

Bernard Derrida,

C. Itzykson,

J. M. Luck

Publication year - 1984

Publication title -

communications in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.662

H-Index - 152

eISSN - 1432-0916

pISSN - 0010-3616

DOI - 10.1007/bf01212352

Subject(s) - amplitude , singularity , degenerate energy levels , potts model , mathematics , chiral potts curve , partition (number theory) , statistical physics , partition function (quantum field theory) , lattice (music) , mathematical physics , physics , mathematical analysis , quantum mechanics , ising model , combinatorics , acoustics

We study the oscillatory critical amplitudes of theq-states Potts model on a diamond hierarchical lattice. We consider an example of the generic case (finite critical index), as well as the degenerate case (essential singularity). In both cases, we compare the magnitude of the oscillations with geometrical characteristics of the Julia set of zeroes of the partition function.

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