Slow cooling dynamics of the ising p-spin interaction spin-glass model

D. M. Kagan, M. V. Feigelman

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1 Citation (Scopus)


We have studied the dynamical behavior of the infinite-range Ising spin-glass model with p-spin interaction above and below the transition into the nonergodic phase. The transition is continuous at sufficiently high external magnetic field. The dynamic critical exponent of the power-law decay of the autocorrelation function at the transition point is shown to decrease smoothly to zero as the field approaches the «tricritical» point from above; in weaker fields the transition is discontinuous. The slow-cooling approach is used to study the nonergodic behavior below the transition at zero external field. It is shown that the anomalous response function Δ(t, t′) contains δ-function as well as regular contributions at any temperature below the phase transition. No evidence of the second phase transition (known to exist within the static replica solution of the same model) is found. At low enough temperatures the slow-cooling solution approaches the one known for the standard Sherrington-Kirkpatrik model.

Original languageEnglish
Pages (from-to)2094-2114
Number of pages21
JournalZhurnal Eksperimental'noj i Teoreticheskoj Fiziki
Issue number6
Publication statusPublished - 1996
Externally publishedYes


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