It is shown that the limit t - t ' -> infinity of the equilibrium dynamic self-energy can be computed from the n -> I limit of the static self-energy of an n-tirnes replicated system with one step replica symmetry breaking structure. It is also shown that the Dyson equation of the replicated system leads in the n -> I limit to the bifurcation equation for the glass ergodicity breaking parameter computed from dynamics. The equivalence of the replica formalism to the long time limit of the equilibrium relaxation dynamics is proved to all orders in perturbation for a scalar theory. (c) 2007 Elsevier B.V. All rights reserved.
Long time limit of equilibrium glassy dynamics and replica calculation
Crisanti A
2008
Abstract
It is shown that the limit t - t ' -> infinity of the equilibrium dynamic self-energy can be computed from the n -> I limit of the static self-energy of an n-tirnes replicated system with one step replica symmetry breaking structure. It is also shown that the Dyson equation of the replicated system leads in the n -> I limit to the bifurcation equation for the glass ergodicity breaking parameter computed from dynamics. The equivalence of the replica formalism to the long time limit of the equilibrium relaxation dynamics is proved to all orders in perturbation for a scalar theory. (c) 2007 Elsevier B.V. All rights reserved.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
