The disordered Backgammon model

Details The disordered Backgammon model The disordered Backgammon model

2001-12-19

arxiv.org/abs/cond-mat/0112362v1

Phys. Rev. E 65 (2002) 056125

Physics

Condensed Matter

Statistical Mechanics

24 pages, 11 figures

Scientific paper

10.1103/PhysRevE.65.056125

In this paper we consider an exactly solvable model which displays glassy behavior at zero temperature due to entropic barriers. The new ingredient of the model is the existence of different energy scales or modes associated to different relaxational time-scales. Low-temperature relaxation takes place by partial equilibration of successive lower energy modes. An adiabatic scaling solution, defined in terms of a threshold energy scale $\eps^*$, is proposed. For such a solution, modes with energy $\eps\gg\eps^*$ are equilibrated at the bath temperature, modes with $\eps\ll\eps^*$ remain out of equilibrium and relaxation occurs in the neighborhood of the threshold $\eps\sim \eps^*$. The model is presented as a toy example to investigate conditions related to the existence of an effective temperature in glassy systems and its possible dependence on the energy sector probed by the corresponding observable.

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