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Negative Resistance in Brownian Transport

Guillermo A. Cecchi·Marcelo O. Magnasco
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Abstract

We prove that negative incremental resistance cannot occur on 1D spaces like the circle or the line; we construct an explicit two-dimensional model on the cylinder, and its collapse into a branched 1D backbone. We derive an accurate numerical method for solving our 2D model, and discuss the relevance of the model to biological ion channels.

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Guillermo A. Cecchi, Marcelo O. Magnasco. 2001-05-04. Negative Resistance in Brownian Transport. https://doi.org/10.1103/physrevlett.76.1968

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