Mixing, ergodicity and slow relaxation phenomena

Details Mixing, ergodicity and slow relaxation phenomena Mixing, ergodicity and slow relaxation phenomena

2006-10-10

arxiv.org/abs/cond-mat/0610255v2

Physica A, 371 (2006) 130-134

Physics

Condensed Matter

Statistical Mechanics

6 pages, 1 figure. Corrected last citation. Proceedings of LAWNP05

Scientific paper

10.1016/j.physa.2006.04.096

Investigations 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.

Affiliated with

Also associated with

No associations

Rating

Mixing, ergodicity and slow relaxation phenomena does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Mixing, ergodicity and slow relaxation phenomena, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mixing, ergodicity and slow relaxation phenomena will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-437358