Thermodynamic description of a dynamical glassy transition

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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5 pages revtex

Scientific paper

10.1088/0305-4470/31/10/004

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 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. $t/t_w$-scaling in the aging regime of two-time quantities is explained.

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