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.






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Xu, H, and SW Teitsworth (2010). Emergence of current branches in a series array of negative differential resistance circuit elements. Journal of Applied Physics, 108(4). p. 43705. 10.1063/1.3475988 Retrieved from https://hdl.handle.net/10161/3381.

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Stephen W. Teitsworth

Associate Professor of Physics

Prof. Stephen Teitsworth's research centers on theoretical and experimental studies of noise-driven processes in far-from-equilibrium systems. Recent activity has centered around the development and implementation of novel metrics such as stochastic area which allow one to quantify how far from equilibrium a system is.  These concepts have been developed and applied to low dimensional systems such as mechanical mass-spring assemblies and coupled electronic circuits driven by out-of-equilibrium noise sources.  

Two problems of current interest are: 1) the extension of the stochastic area and related concepts to high-dimensional spatially continuous systems such as elastic filaments (e.g., strings or rods) embedded in viscoelastic media and driven by active noise sources; 2) studies of first-passage processes associated with heating of trapped ions in Paul traps (in collaboration with the group of Prof. Noel at Duke).

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