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Aging Dynamics and the Topology of Inhomogenous Networks
Physical Review Letters
We study phase ordering on networks and we establish a relation between the exponent a_χ of the aging part of the integrated autoresponse function χ_ag and the topology of the underlying structures. We show that a_χ >0 in full generality on networks which are above the lower critical dimension d_L, i.e. where the corresponding statistical model has a phase transition at finite temperature. For discrete symmetry models on finite ramified structures with T_c = 0, which are at the lower criticaldoi:10.1103/physrevlett.96.235701 pmid:16803384 fatcat:ws3alo444ffjvavebgydxq73em