Emergence of current branches in a series array of negative differential resistance circuit elements
Abstract
We study a series array of nonlinear electrical circuit elements that possess negative
differential resistance and find that heterogeneity in the element properties leads
to the presence of multiple branches in current-voltage curves and a nonuniform distribution
of voltages across the elements. An inhomogeneity parameter rmax is introduced to
characterize the extent to which the individual element voltages deviate from one
another, and it is found to be strongly dependent on the rate of change of applied
voltage. Analytical expressions are derived for the dependence of rmax on voltage
ramping rate in the limit of fast ramping and are confirmed by direct numerical simulation.
© 2010 American Institute of Physics.
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https://hdl.handle.net/10161/3381Published Version (Please cite this version)
10.1063/1.3475988Publication Info
Xu, H; & Teitsworth, SW (2010). Emergence of current branches in a series array of negative differential resistance
circuit elements. Journal of Applied Physics, 108(4). pp. 43705. 10.1063/1.3475988. Retrieved from https://hdl.handle.net/10161/3381.This is constructed from limited available data and may be imprecise. To cite this
article, please review & use the official citation provided by the journal.
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Show full item recordScholars@Duke
Stephen W. Teitsworth
Associate Professor of Physics
Prof. Stephen W. Teitsworth's research centers on experimental, computational, and
theoretical studies of deterministic and stochastic nonlinear electronic transport
in nanoscale systems. Three particular areas of current interest are: 1) stochastic
nonlinear electronic transport phenomena in semiconductor superlattices and tunnel
diode arrays; 2) complex bifurcations associated with the deterministic dynamics of
electronic transport in negative differential resistance systems; and 3) strategies

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