Complexity in mean-field spin-glass models: Ising p-spin (Articolo in rivista)

Type

• Prodotto della ricerca (Classe)
• Articolo in rivista (Classe)

Label

• Complexity in mean-field spin-glass models: Ising p-spin (Articolo in rivista) (literal)

Anno

• 2005-01-01T00:00:00+01:00 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi

• 10.1103/PhysRevB.71.094202 (literal)

Alternative label

• Crisanti A.; Leuzzi L.; Rizzo T. (2005)
  Complexity in mean-field spin-glass models: Ising p-spin
  in Physical review letters; American Physical Society (APS), College Pk (Stati Uniti d'America)
  (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

• Crisanti A.; Leuzzi L.; Rizzo T. (literal)

Pagina inizio

• 094202 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url

• http://link.aps.org/doi/10.1103/PhysRevB.71.094202 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume

• 71 (literal)

Rivista

• Physical review letters (Rivista)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo

• 9 (literal)

Note

• ISI Web of Science (WOS) (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni

• Univ Roma La Sapienza, SMC, Dipartimento Fis, I-00185 Rome, Italy SMC Centerm, INFM-CNR, I-00185 Rome, Italy (literal)

Titolo

• Complexity in mean-field spin-glass models: Ising p-spin (literal)

Abstract

• The complexity of the Thouless-Anderson-Palmer (TAP) solutions of the Ising p-spin is investigated in the temperature regime where the equilibrium phase is one-step replica symmetry breaking. Two solutions of the resulting saddle point equations are found. One is supersymmetric (SUSY) and includes the equilibrium value of the free energy while the other is non-SUSY. The two solutions cross exactly at a value of the free energy where the replicon eigenvalue is zero; at low free energy the complexity is described by the SUSY solution while at high free energy it is described by the non-SUSY solution, the latter accounting for the total number of solutions. The relevant TAP solutions counted by the non-SUSY complexity share the same features of the corresponding solutions in the Sherrington-Kirkpatrick model; in particular their Hessian has a vanishing isolated eigenvalue. The TAP solutions corresponding to the SUSY complexity, instead, are well separated minima. (literal)

Editore

• American Physical Society (APS) (Editore)

Prodotto di

• Istituto per i processi chimico-fisici (IPCF) (Istituto)
• MD.P01.024.001 Dinamica dei sistemi disordinati: materia soffice e biologica (MD.P01.024.002) (Modulo)

Autore CNR

• LUCA LEUZZI (Persona)
• TOMMASO RIZZO (Unità di personale interno)

Insieme di parole chiave

• Keywords of "Complexity in mean-field spin-glass models: Ising p-spin" (Insieme di parole chiave)

Incoming links:

Prodotto

• Istituto per i processi chimico-fisici (IPCF) (Istituto)
• MD.P01.024.001 Dinamica dei sistemi disordinati: materia soffice e biologica (MD.P01.024.002) (Modulo)

Autore CNR di

• LUCA LEUZZI (Persona)
• TOMMASO RIZZO (Unità di personale interno)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi

• Physical review letters (Rivista)

Editore di

• American Physical Society (APS) (Editore)

Insieme di parole chiave di

• Keywords of "Complexity in mean-field spin-glass models: Ising p-spin" (Insieme di parole chiave)