ISSN:
1434-6036
Keywords:
PACS. 05.20.-y Classical statistical mechanics - 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion - 75.10.Nr Spin-glass and other random models
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract: We explore the consequences of Replica Symmetry Breaking at zero temperature. We introduce a repulsive coupling between a system and its unperturbed ground state. In the Replica Symmetry Breaking scenario a finite coupling induces a non trivial overlap probability distribution among the unperturbed ground state and the one in presence of the coupling. We find a closed formula for this probability for arbitrary ultrametric trees, in terms of the parameters defining the tree. The same probability is computed in numerical simulations of a simple model with many ground states, but no ultrametricity: polymers in random media in 1+1 dimension. This gives us an idea of what violation of our formula can be expected in cases when ultrametricity does not hold.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s100510070037
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