PMID: 15244574Jul 13, 2004Paper

Fragility in p-spin models

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
G ParisiF Zamponi

Abstract

We investigate the relation between fragility and phase space properties - such as the distribution of states - in the mean-field p -spin model, a solvable model that has been frequently used in studies of the glass transition. By direct computation of all the relevant quantities, we find that (i) the recently observed correlation between fragility and vibrational properties at low temperature is present in this model and (ii) the total number of states is a decreasing function of fragility, at variance with what is currently believed. We explain these findings by taking into account the contribution to fragility coming from the transition paths between different states. Finally, we propose a geometric picture of the phase space that explains the correlation between properties of the transition paths, distribution of states, and their vibrational properties. However, our analysis may not apply to strong systems where inflection points in the configurational entropy as a function of the temperature are found.

References

Apr 1, 1987·Physical Review A: General Physics·T R Kirkpatrick, P G Wolynes
Jul 15, 1989·Physical Review A: General Physics·T R KirkpatrickP G Wolynes
May 18, 1987·Physical Review Letters·T R Kirkpatrick, D Thirumalai
Mar 22, 2001·Nature·P G Debenedetti, F H Stillinger
Nov 1, 2003·Science·Tullio ScopignoGiulio Monaco
Nov 13, 2003·Physical Review Letters·Jeppe C Dyre, Niels Boye Olsen

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Citations

Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R Casalini, C M Roland
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A AndronicoF Zamponi

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