Diffusive dynamics in systems with translational symmetry: A one-dimensional-map model

Diffusive dynamics in systems with translational symmetry: A one-dimensional-map model

Publication Type:

Journal Article

Authors:

Schell, M.; Fraser, S.; Kapral, R.

Source:

Physical Review A, Volume 26, Number 1, p.504-521 (1982)

URL:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0000119191&doi=10.1103%2fPhysRevA.26.504&partnerID=40&md5=2050d7ad098268bc2c16e38580acbf10

Abstract:

A one-dimensional, one-parameter-map model for dissipative systems with translational symmetry is studied. The map possesses confined periodic and chaotic solutions which form an infinite array on the real line, periodic or chaotic running solutions which propagate coherently to the left or right, and a variety of diffusive motions where iterates wander over the entire interval like a random walk. The onset of diffusion in various regions of parameter space is studied in detail and simple dynamical models for the behavior of the diffusion coefficient near bifurcation points are constructed. © 1982 The American Physical Society.