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25 April 2024
 
  » arxiv » cond-mat/0207121

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The cavity method at zero temperature
Marc Mezard ; Giorgio Parisi ;
Date 4 Jul 2002
Journal J. Stat. Phys 111 (2003) 1
Subject Disordered Systems and Neural Networks | cond-mat.dis-nn
AbstractIn this note we explain the use of the cavity method directly at zero temperature, in the case of the spin glass on a Bethe lattice. The computation is done explicitly in the formalism equivalent to ’one step replica symmetry breaking’; we compute the energy of the global ground state, as well as the complexity of equilibrium states at a given energy. Full results are presented for a Bethe lattice with connectivity equal to three.
Source arXiv, cond-mat/0207121
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