Fractal dimensions in tunneling processes and effects of environmental fluctuations

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

Research output: Contribution to journalArticle

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
Publication statusPublished - Mar 1998
Externally publishedYes

Fingerprint

Wave packets
Electron tunneling
Relaxation processes
Fractal dimension
Fractal Dimension
Fractals
Fluctuations
Weierstrass Function
Wave Packet
Exponential Decay
Quartic
Fractal
Electron
Hot Temperature

ASJC Scopus subject areas

  • General
  • Geometry and Topology

Cite this

Kovanis, V., Grigolini, P., Kenkre, V. M., & Tsironis, G. P. (1998). Fractal dimensions in tunneling processes and effects of environmental fluctuations. Fractals, 6(1), 59-66.

Fractal dimensions in tunneling processes and effects of environmental fluctuations. / Kovanis, Vassilios; Grigolini, Paolo; Kenkre, V. M.; Tsironis, G. P.

In: Fractals, Vol. 6, No. 1, 03.1998, p. 59-66.

Research output: Contribution to journalArticle

Kovanis, V, Grigolini, P, Kenkre, VM & Tsironis, GP 1998, 'Fractal dimensions in tunneling processes and effects of environmental fluctuations', Fractals, vol. 6, no. 1, pp. 59-66.
Kovanis V, Grigolini P, Kenkre VM, Tsironis GP. Fractal dimensions in tunneling processes and effects of environmental fluctuations. Fractals. 1998 Mar;6(1):59-66.
Kovanis, Vassilios ; Grigolini, Paolo ; Kenkre, V. M. ; Tsironis, G. P. / Fractal dimensions in tunneling processes and effects of environmental fluctuations. In: Fractals. 1998 ; Vol. 6, No. 1. pp. 59-66.
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