Negative Resistance in Brownian Transport

Details Negative Resistance in Brownian Transport Negative Resistance in Brownian Transport

2001-05-04

arxiv.org/abs/cond-mat/0105098v1

Physical Review Letters 78 (11) 1968-1971 (1996)

Physics

Condensed Matter

Statistical Mechanics

3 separate figures

Scientific paper

10.1103/PhysRevLett.76.1968

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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