Abstract
For the dynamical glassy transition in the p-spin mean-field spin-glass model a thermodynamic description is given. The often considered marginal states are not the relevant ones for this purpose. This leads us to consider a cooling experiment on exponential timescales, where lower states are accessed. The very slow configurational modes are at quasi-equilibrium at an effective temperature. A system-independent law is derived that expresses their contribution to the specific heat. -scaling in the ageing regime of two-time quantities is explained.
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