Issue |
Europhys. Lett.
Volume 50, Number 2, April II 2000
|
|
---|---|---|
Page(s) | 155 - 161 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i2000-00248-2 | |
Published online | 01 September 2002 |
From inherent structures to pure states: Some simple remarks and examples
Laboratoire de Physique Théorique de l'Ecole Normale
Supérieure Unité Mixte de Recherche du Centre National de la
Recherche Scientifique et de l'Ecole Normale Supérieure.
24 rue Lhomond, 75231 Paris cedex 05, France
Received:
8
December
1999
Accepted:
16
February
2000
The notions of pure states and inherent structures, i.e. stable
configurations against 1-spin flip are discussed. We explain why
these different concepts accidentally coincide in mean-field models
with infinite connectivity and present an exactly solvable
one-dimensional model where they do not. At zero temperature pure
states are to some extent related to k-spin flip stable
configurations with after the thermodynamical limit has
been taken. This relationship is supported by an explicit analysis of
the TAP equations and calculation of the number of pure states and
k-spin flips stable configurations in a mean-field model with finite
couplings. Finally, we discuss the relevance of the concepts
of pure states and inherent structures in finite-dimensional glassy systems.
PACS: 05.20-y – Classical statistical mechanics / 64.70.Pf – Glass transitions / 75.10.Nr – Spin-glass and other random models
© EDP Sciences, 2000
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