Mixing, ergodicity and slow relaxation phenomena

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dc.creatorCosta, Ismael V. L.
dc.creatorVainstein, Mendeli H.
dc.creatorLapas, Luciano C.
dc.creatorBatista, Adriano A.
dc.creatorOliveira, Fernando A.
dc.date2006-10-10
dc.date2006-10-20
dc.date.accessioned2026-07-07T07:27:26Z
dc.date.available2026-07-07T07:27:26Z
dc.descriptionInvestigations on diffusion in systems with memory [I.V.L. Costa, R. Morgado, M.V.B.T. Lima, F.A. Oliveira, Europhys. Lett. 63 (2003) 173] have established a hierarchical connection between mixing, ergodicity, and the fluctuation-dissipation theorem (FDT). This hierarchy means that ergodicity is a necessary condition for the validity of the FDT, and mixing is a necessary condition for ergodicity. In this work, we compare those results with recent investigations using the Lee recurrence relations method [M.H. Lee, Phys. Rev. B 26 (1982) 2547; M.H. Lee, Phys. Rev. Lett. 87 (2001) 250601; M.H. Lee, J. Phys. A: Math. Gen. 39 (2006) 4651]. Lee shows that ergodicity is violated in the dynamics of the electron gas [M.H. Lee, J. Phys. A: Math. Gen. 39 (2006) 4651]. This reinforces both works and implies that the results of [I.V.L. Costa, R. Morgado, M.V.B.T. Lima, F.A. Oliveira, Europhys. Lett. 63 (2003) 173] are more general than the framework in which they were obtained. Some applications to slow relaxation phenomena are discussed.
dc.description6 pages, 1 figure. Corrected last citation. Proceedings of LAWNP05
dc.identifierhttps://arxiv.org/abs/cond-mat/0610255
dc.identifierhttp://arxiv.org/abs/cond-mat/0610255
dc.identifierPhysica A, 371 (2006) 130-134
dc.identifierdoi:10.1016/j.physa.2006.04.096
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117375
dc.subjectStatistical Mechanics
dc.titleMixing, ergodicity and slow relaxation phenomena
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