On the physical properties of memristive, memcapacitive and meminductive systems.

@article{DiVentra2013OnTP,
title={On the physical properties of memristive, memcapacitive and meminductive systems.},
author={Massimiliano Di Ventra and Yuriy V. Pershin},
journal={Nanotechnology},
year={2013},
volume={24 25},
pages={
255201
}
}
• Published 2013
• Physics, Medicine
• Nanotechnology
We discuss the physical properties of realistic memristive, memcapacitive and meminductive systems. In particular, by employing the well-known theory of response functions and microscopic derivations, we show that resistors, capacitors and inductors with memory emerge naturally in the response of systems-especially those of nanoscale dimensions-subjected to external perturbations. As a consequence, since memristances, memcapacitances and meminductances are simply response functions, they are… Expand

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References

SHOWING 1-10 OF 40 REFERENCES
Circuit Elements With Memory: Memristors, Memcapacitors, and Meminductors
• Engineering, Computer Science
• Proceedings of the IEEE
• 2009
It is argued that capacitive and inductive elements, namely, capacitors and inductors whose properties depend on the state and history of the system, are common at the nanoscale, where the dynamical properties of electrons and ions are likely to depend upon the history ofThe system, at least within certain time scales. Expand
Memristive devices and systems
• Engineering
• Proceedings of the IEEE
• 1976
A broad generalization of memristors--a recently postulated circuit element--to an interesting class of nonlinear dynamical systems called memristive systems is introduced. These systems areExpand
Complex dynamics and scale invariance of one-dimensional memristive networks.
• Physics, Medicine
• Physical review. E, Statistical, nonlinear, and soft matter physics
• 2013
It is shown that even the simplest one-dimensional network formed by the most common memristive elements with voltage threshold bears nontrivial physical properties. Expand
Memory effects in complex materials and nanoscale systems
• Computer Science, Physics
• 2011
The memory properties of various materials and systems which appear most strikingly in their non-trivial, time-dependent resistive, capacitative and inductive characteristics are described within the framework of memristors, memcapacitors and meminductors. Expand
Memristor-The missing circuit element
A new two-terminal circuit element-called the memristorcharacterized by a relationship between the charge q(t)\equiv \int_{-\infty}^{t} i(\tau) d \tau and the flux-linkage \varphi(t)\equiv \int_{-Expand
The missing memristor found
• Physics, Medicine
• Nature
• 2008
It is shown, using a simple analytical example, that memristance arises naturally in nanoscale systems in which solid-state electronic and ionic transport are coupled under an external bias voltage. Expand
Fundamental Issues and Problems in the Realization of Memristors
• Physics
• 2012
In 2008, researchers at the Hewlett-Packard (HP) laboratories claimed to have found an analytical physical model for a genuine memristor device [1]. The model is considered for a thin TiO_2 filmExpand
Memristor-based neural networks
This work presents and explains the relevant mechanisms in a biological neural network, such as long-term potentiation and spike time-dependent plasticity, and determines the minimal requirements for an artificial neural network. Expand
Lagrange formalism of memory circuit elements: Classical and quantum formulations
• Physics
• 2012
The general Lagrange-Euler formalism for the three memory circuit elements, namely, memristive, memcapacitive, and meminductive systems, is introduced. In addition, {\it mutual meminductance}, i.e.Expand
‘Memristive’ switches enable ‘stateful’ logic operations via material implication
• Physics, Computer Science
• Nature
• 2010
Bipolar voltage-actuated switches, a family of nonlinear dynamical memory devices, can execute material implication (IMP), which is a fundamental Boolean logic operation on two variables p and q such that pIMPq is equivalent to (NOTp)ORq. Expand