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Changing the state of a memristive system with white noise

Valeriy A. Slipko1,*, Yuriy V. Pershin2,†, and Massimiliano Di Ventra3,‡

  • 1Department of Physics and Technology, V. N. Karazin Kharkov National University, Kharkov 61077, Ukraine
  • 2Department of Physics and Astronomy and University of South Carolina Nanocenter, University of South Carolina, Columbia, South Carolina 29208, USA
  • 3Department of Physics, University of California, San Diego, California 92093-0319, USA

  • *slipko@univer.kharkov.ua
  • pershin@physics.sc.edu
  • diventra@physics.ucsd.edu

Phys. Rev. E 87, 042103 – Published 4 April, 2013

DOI: https://doi.org/10.1103/PhysRevE.87.042103

Abstract

Can we change the average state of a resistor by simply applying white noise? We show that the answer to this question is positive if the resistor has memory of its past dynamics (a memristive system). We also prove that, if the memory arises only from the charge flowing through the resistor—an ideal memristor—then the current flowing through such memristor cannot charge a capacitor connected in series and, therefore, cannot produce useful work. However, the memristive system may skew the charge probability density on the capacitor, an effect that can be measured experimentally.

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