Fractal dimensions in tunneling processes and effects of environmental fluctuations

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Title: Fractal dimensions in tunneling processes and effects of environmental fluctuations
Author: Kovanis, Vassilios; Grigolini, Paolo; Kenkre, V.M.; Tsironis, George
Abstract: We study electron tunneling between two infinte 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.
Record URI: http://hdl.handle.net/1850/4856
Publishers URL: http://dx.doi.org/10.1142/S0218348X98000079
Date: 1998-03

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