Routes to chaos, universality and glass formation

Details Routes to chaos, universality and glass formation Routes to chaos, universality and glass formation

2006-06-07

arxiv.org/abs/cond-mat/0606164v2

Physica A {\bf 372}, 224 (2006)

Physics

Condensed Matter

Statistical Mechanics

Added references. 20 pages. Alberto Robledo's 60th Anniversary Symposium - Nonlinearity, nonequilibrium and complexity: Questi

Scientific paper

10.1016/j.physa.2006.08.057

We review recent results obtained for the dynamics of incipient chaos. These results suggest a common picture underlying the three universal routes to chaos displayed by the prototypical logistic and circle maps. Namely, the period doubling, intermittency, and quasiperiodicity routes. In these situations the dynamical behavior is exactly describable through infinite families of Tsallis' $q$-exponential functions. Furthermore, the addition of a noise perturbation to the dynamics at the onset of chaos of the logistic map allows to establish parallels with the behavior of supercooled liquids close to glass formation. Specifically, the occurrence of two-step relaxation, aging with its characteristic scaling property, and subdiffusion and arrest is corroborated for such a system.

Affiliated with

Also associated with

No associations

Rating

Routes to chaos, universality and glass formation 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 Routes to chaos, universality and glass formation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Routes to chaos, universality and glass formation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-697662