Abstract:
We prove the existence of correlations between the equilibrium states at different temperatures of the multi-p-spin spherical spin-glass models with continuous replica symmetry breaking: there is no chaos in temperature in these models. Furthermore, the overlaps satisfy ultrametric relations. As a consequence the Parisi tree is essentially the same at all temperatures with lower branches developing when lowering the temperature. We conjecture that the reference free energies of the clusters are also fixed at all temperatures as in the generalized random-energy model.
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
Author information
Authors and Affiliations
Additional information
Received 18 March 2002 / Received in final form 14 June 2002 Published online 1st October 2002
RID="a"
ID="a"e-mail: tommaso.rizzo@inwind.it
Rights and permissions
About this article
Cite this article
Rizzo, T. Ultrametricity between states at different temperatures in spin-glasses. Eur. Phys. J. B 29, 425–435 (2002). https://doi.org/10.1140/epjb/e2002-00274-x
Issue Date:
DOI: https://doi.org/10.1140/epjb/e2002-00274-x