Towards an experimental determination of the number of metastable states in spin-glasses?
نویسندگان
چکیده
We argue that trie systematic deviation from perfect aging (which means that trie relaxation function only depend on the ratio £, where tw is trie waiting time) observed in spin-glasses can be accounted for if trie numberlf available metastable states is finite. A significant fraction of these metastable states will be visited after an "ergodic" time which we estimate from trie experiments to be ci 10~ seconds. This corresponds ta m 10~~-10~~ dilferent metastable states per independent subsystem.
منابع مشابه
Metastable states of a ferromagnet on random thin graphs
We calculate the mean number of metastable states of an Ising ferromagnet on random thin graphs of fixed connectivity c. We find, as for mean field spin glasses that this mean increases exponentially with the number of sites, and is the same as that calculated for the ±J spin glass on the same graphs. An annealed calculation of the number 〈NMS(E)〉 of metastable states of energy E is carried out...
متن کاملMetastable States in High Order Short-Range Spin Glasses
Abstract. The mean number 〈N〉 of metastable states in higher order shortrange spin glasses is estimated analytically using a variational method introduced by Tanaka and Edwards for very large coordination numbers. For lattices with small connectivities, numerical simulations do not show any significant dependence on the relative positions of the interacting spins on the lattice, indicating thus...
متن کاملOn the number of metastable states in spin glasses
In this letter, we show that the formulae of Bray and Moore for the average logarithm of the number of metastable states in spin glasses can be obtained by calculating the partition function with m coupled replicas with the symmetry among these explicitly broken according to a generalization of the ‘two-group’ ansatz. This equivalence allows us to find solutions of the bm equations where the lo...
متن کاملRecipes for Metastable States in Spin Glasses
In this paper we develop further a metl~od recently introduced by one of us to study metastable states in spm glasses. We consider a 'potential function', defined as the
متن کاملTemperature evolution and bifurcations of metastable states in mean-field spin glasses, with connections with structural glasses
The correlations of the free-energy landscape of mean-field spin glasses at different temperatures are investigated, concentrating on models with a first-order freezing transition. Using a ‘potential function’ we follow the metastable states of the model in temperature, and discuss the possibility of level crossing (which we do not find) and multifurcation (which we find). The dynamics at a giv...
متن کامل