Memristors and Memelements: Mathematics, Physics and Fiction

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This book, written by two pioneers in the field, provides a clear and concise description of memristors and other memory elements. It stresses the difference between their mathematical definition and physical reality. The reader will then be able to distinguish between what is experimentally realizable and various fictitious claims that plague the scientific literature. The discussion is kept simple enough that the book should be easily accessible not only to graduate students and researchers in Physics and Engineering, but also to undergraduate students interested in this topic. 

Author(s): Massimiliano Di Ventra, Yuriy V. Pershin
Series: SpringerBriefs in Physics
Publisher: Springer
Year: 2023

Language: English
Pages: 70
City: Cham

Preface
Acknowledgements
Contents
About the Authors
1 What's in a Name?
1.1 The Notion of Memory
1.2 Response Functions
1.3 Response Functions and Memory Degrees of Freedom
1.4 Memory Elements (Memelements)
1.5 Memory Capacity and Storage
1.6 What Do We Really Measure?
1.6.1 An Example
References
2 Reality Versus Fiction
2.1 Elementary Physics of Fundamental Circuit Elements
2.1.1 Resistors
2.1.2 Capacitors
2.1.3 Inductors
2.2 Experimental Systems with Memory
2.3 Three Types of Memory Circuit Elements
2.4 Ideal Memelements: A Mathematical Fiction?
2.5 Resistors Are Not Capacitors, Are Not Inductors!
2.6 If It's Pinched It's … What?
2.7 Not Even Wrong
References
3 Physical Constraints for Ideal Memelements
3.1 List of Physical Constraints
3.1.1 Strong Sensitivity to Fluctuations
3.1.2 Stochastic Catastrophe
3.1.3 Violation of Landauer Principle
3.1.4 Over-Delayed Switching
3.1.5 Incompatibility with Symmetries of Electrodynamics
3.2 Intrinsic Variability of Memristive Response
References
4 Restoring Sanity: The Memristor Test
4.1 Back to Basic
4.2 The Memristor Test
4.3 Experimental Demonstrations of the Test
4.3.1 ReRAM Devices
4.3.2 The So-Called ``Φ Memristor''
4.4 Impossibility Conjectures
4.5 Ideal Memcapacitors and Meminductors
References
5 The Sociology of the Field and Lesson to Be Learned
5.1 Physical Reality Versus Mathematics
5.2 The Sociology of the Field
5.3 Whispers in the Wind
5.4 Moving Forward
5.5 The Ultimate Lesson
References
Index