WEAK CHAOS IN ONE-DIMENSIONAL QUANTUM TRANSPORT - THE 1 F2 LAW AND THE BREAKDOWN OF THE LAW OF LARGE NUMBERS/

Authors
NAKAMURA K HAGA T TAKANE Y
Citation
K. Nakamura et al., WEAK CHAOS IN ONE-DIMENSIONAL QUANTUM TRANSPORT - THE 1 F2 LAW AND THE BREAKDOWN OF THE LAW OF LARGE NUMBERS/, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(2), 1994, pp. 1700-1703
Citations number
15
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
50
Issue
2
Year of publication
1994
Part
B
Pages
1700 - 1703
Database
ISI
SICI code
1063-651X(1994)50:2<1700:WCIOQT>2.0.ZU;2-R
Abstract
We study quantum transports in the one-dimensional Kronig-Penny model in a static electric field. S matrices as a function of the number of barriers are examined in the complex plane. They show a stagnant chaos around torus in a weak field case, while, in a strong field case, wan dering from one stagnant region to another in an unpredictable way. Th e power spectra of transmission coefficients show a universal 1/f2 beh avior with the exponent independent on both the strength of field and width of barriers. The Allan variance indicates a breakdown of the law of large numbers.