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Memristors and Memelements

Part of the SpringerBriefs in Physics Book Series

DOI: 10.1007/978-3-031-25625-7

ISBN: 978-3-031-25624-0

Publisher: Springer International Publishing - Springer Journals

Jan 26, 2023

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Chapter 1What’s in a Name?

Di Ventra, Massimiliano; Pershin, Yuriy V.

Pages: 1 –11

[In this chapter we introduce the notion of memory as a general property common to all physical systems. We emphasize that any physical system subject to suitable perturbations showcases some degree of memory, whether this memory is easy or not to detect experimentally. In the Physics literature,...
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Chapter 2Reality Versus Fiction

Di Ventra, Massimiliano; Pershin, Yuriy V.

Pages: 13 –28

[In this chapter we show that the mathematical definition of memristors and other memory circuit elements (such as memcapacitors and meminductors) is simply a special case of the most general notion of response functions we have introduced in the previous chapter. It will then be clear that (i)...
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Chapter 3Physical Constraints for Ideal Memelements

Di Ventra, Massimiliano; Pershin, Yuriy V.

Pages: 29 –39

[In this chapter we show that ideal memristors (as discussed in the previous Chap. 2) are subject to very strict physical conditions and are unable to protect their memory state against the unavoidable fluctuations, and therefore are susceptible to a stochastic catastrophe. Similar considerations...
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Chapter 4Restoring Sanity: The Memristor Test

Di Ventra, Massimiliano; Pershin, Yuriy V.

Pages: 41 –52

[In this chapter we introduce an unambiguous test to experimentally determine whether a given device is an ideal memristor or not. We demonstrate the test by applying it to resistive random-access memory (ReRAM) cells and the so-called “\documentclass[12pt]{minimal} \usepackage{amsmath}...
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Chapter 5The Sociology of the Field and Lesson to Be Learned

Di Ventra, Massimiliano; Pershin, Yuriy V.

Pages: 53 –59

[In this concluding chapter we summarize our thoughts on the field, its sociology, and where it could go from here. The main lesson we draw is that blind and unquestioned reliance on mathematical definitions to describe physical phenomena can easily lead to wrong conclusions and away from...

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