Fractal dimensions in tunneling processes and effects of environmental fluctuations

Vassilios Kovanis, Paolo Grigolini, V. M. Kenkre, G. P. Tsironis

Research output: Contribution to journalArticlepeer-review

Abstract

We study electron tunneling between two infinite potential square wells connected via an opaque barrier and find that time evolution of the probability of the presence of a Gaussian wave packet, localized initially in one of the wells, shares the fractal behavior of tunneling in a quartic potential, discovered by Dekker (H. Dekker, Phys. Rev. A35, 1825 (1987). However, the fractal dimensions are found to be closer to those of a conventional Weierstrass function than those appropriate to the quasi-Weierstrass behavior of Dekker. It is argued that the usual exponential decay predicted by conventional relaxation processes can be recovered only as an effect of thermal fluctuations.

Original languageEnglish
Pages (from-to)59-66
Number of pages8
JournalFractals
Volume6
Issue number1
DOIs
Publication statusPublished - Mar 1998

ASJC Scopus subject areas

  • Modelling and Simulation
  • Geometry and Topology
  • Applied Mathematics

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