Universality of the Gunn effect: self-sustained oscillations mediated by solitary waves

Abstract

The Gunn effect consists of time-periodic oscillations of the current flowing through an external purely resistive circuit mediated by solitary wave dynamics of the electric field on an attached appropriate semiconductor. By means of a new asymptotic analysis, it is argued that Gunn-like behavior occurs in specific classes of model equations. As an illustration, an example related to the constrained Cahn-Allen equation is analyzed.

arXiv comment4 pages,3 Post-Script figures

References in corpus (2)

• Electrically tunable GHz oscillations in doped GaAs-AlAs superlattices
• Asymptotic analysis of the Gunn effect with realistic boundary conditions

Cited by in corpus (3)

• Chaotic motion of space charge wavefronts in semiconductors under time-independent voltage bias
• On the Photorefractive Gunn Effect
• Uncovering spatio-temporal patterns in semiconductor superlattices by efficient data processing tools