Regularization of chaos by noise in electrically driven nanowire systems

Peyman Hessari, Younghae Do, Ying-Cheng Lai, Junseok Chae, Cheol Woo Park, GyuWon Lee

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The electrically driven nanowire systems are of great importance to nanoscience and engineering. Due to strong nonlinearity, chaos can arise, but in many applications it is desirable to suppress chaos. The intrinsically high-dimensional nature of the system prevents application of the conventional method of controlling chaos. Remarkably, we find that the phenomenon of coherence resonance, which has been well documented but for low-dimensional chaotic systems, can occur in the nanowire system that mathematically is described by two coupled nonlinear partial differential equations, subject to periodic driving and noise. Especially, we find that, when the nanowire is in either the weakly chaotic or the extensively chaotic regime, an optimal level of noise can significantly enhance the regularity of the oscillations. This result is robust because it holds regardless of whether noise is white or colored, and of whether the stochastic drivings in the two independent directions transverse to the nanowire are correlated or independent of each other. Noise can thus regularize chaotic oscillations through the mechanism of coherence resonance in the nanowire system. More generally, we posit that noise can provide a practical way to harness chaos in nanoscale systems.
Original languageEnglish
Article number134304
JournalPhysical Review B Condensed Matter and Materials Physics
Volume89
Issue number13
DOIs
Publication statusPublished - Apr 2014

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Chaos theory
Nanowires
chaos
nanowires
Nanoscience
harnesses
oscillations
Chaotic systems
White noise
white noise
regularity
partial differential equations
Partial differential equations
nonlinearity
engineering

Cite this

Regularization of chaos by noise in electrically driven nanowire systems. / Hessari, Peyman; Do, Younghae; Lai, Ying-Cheng; Chae, Junseok; Woo Park, Cheol; Lee, GyuWon.

In: Physical Review B Condensed Matter and Materials Physics , Vol. 89, No. 13, 134304, 04.2014.

Research output: Contribution to journalArticle

Hessari, Peyman ; Do, Younghae ; Lai, Ying-Cheng ; Chae, Junseok ; Woo Park, Cheol ; Lee, GyuWon. / Regularization of chaos by noise in electrically driven nanowire systems. In: Physical Review B Condensed Matter and Materials Physics . 2014 ; Vol. 89, No. 13.
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