Emergence of current branches in a series array of negative differential resistance circuit elements
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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.
Published Version (Please cite this version)10.1063/1.3475988
Publication InfoXu, 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.
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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