摘要
Ergodicity of a spin-glass is broken at low temperatures;the system is trapped in one of many ergodicconfigurational domains.Transitions between different ergodic domains are achievable through a heating-annealingprocedure.If this experiment is repeated infinite times,all ergodic configurational domains will be visited with frequencesthat decreasing exponentially with their free energies.The mean free energy density of a spin-glass system on a randomgraph is calculated based on this free energy Boltzmann distribution in the present work,by means of the cavity approach.
Ergodicity of a spin-glass is broken at low temperatures;the system is trapped in one of many ergodic configurational domains.Transitions between different ergodic domains are achievable through a heating-annealing procedure.If this experiment is repeated infinite times,all ergodic configurational domains will be visited with frequences that decreasing exponentially with their free energies.The mean free energy density of a spin-glass system on a random graph is calculated based on this free energy Boltzmann distribution in the present work,by means of the cavity approach.