The sphericalp-spin interaction spin-glass model

作者: A. Crisanti , H. Horner , H. -J. Sommers

DOI: 10.1007/BF01312184

关键词: PhysicsErgodicityPower lawCondensed matter physicsQuantum mechanicsSpin glassPhase spaceErgodic theoryCritical lineCorrelation function (statistical mechanics)Tricritical point

摘要: The relaxational dynamics for local spin autocorrelations of the sphericalp-spin interaction spin-glass model is studied in mean field limit. In high temperature and external regime, ergodic similar to behaviour known liquid-glass transition models. static limit, we recover replica symmetric solution long time correlation. This phase becomes unstable on a critical line (T, h) plane, where slowing down observed with cross-over power law decay correlation function ∝t−ν, an exponent ν varying along line. For low temperatures fields, ergodicity space broken. small fields discontinuous, approaching this from above, two scales are seen emerge. dynamical lies at somewhat higher than one obtained within theory. larger continuous some tricritical point. broken modified equilibrium theory alternatively adiabatic cooling across latter scheme yields rather detailed insight into formation structure components.

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