Classical and Quantum Transport Through Entropic Barriers Modelled by Hardwall Hyperboloidal Constrictions

Details Classical and Quantum Transport Through Entropic Barriers Modelled by Hardwall Hyperboloidal Constrictions Classical and Quantum Transport Through Entropic Barriers Modelled by Hardwall Hyperboloidal Constrictions

2008-12-02

arxiv.org/abs/0812.0407v1

Nonlinear Sciences

Chaotic Dynamics

59 pages, 22 EPS figures,

Scientific paper

We study the quantum transport through entropic barriers induced by hardwall constrictions of hyperboloidal shape in two and three spatial dimensions. Using the separability of the Schrodinger equation and the classical equations of motion for these geometries we study in detail the quantum transmission probabilities and the associated quantum resonances, and relate them to the classical phase structures which govern the transport through the constrictions. These classical phase structures are compared to the analogous structures which, as has been shown only recently, govern reaction type dynamics in smooth systems. Although the systems studied in this paper are special due their separability they can be taken as a guide to study entropic barriers resulting from constriction geometries that lead to non-separable dynamics.

Affiliated with

Also associated with

No associations

Rating

Classical and Quantum Transport Through Entropic Barriers Modelled by Hardwall Hyperboloidal Constrictions 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 Classical and Quantum Transport Through Entropic Barriers Modelled by Hardwall Hyperboloidal Constrictions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classical and Quantum Transport Through Entropic Barriers Modelled by Hardwall Hyperboloidal Constrictions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-718569