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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.
Preface
Acknowledgements
Contents
About the Authors
What's in a Name?
The Notion of Memory
Response Functions
Response Functions and Memory Degrees of Freedom
Memory Elements (Memelements)
Memory Capacity and Storage
What Do We Really Measure?
An Example
References
Reality Versus Fiction
Elementary Physics of Fundamental Circuit Elements
Resistors
Capacitors
Inductors
Experimental Systems with Memory
Three Types of Memory Circuit Elements
Ideal Memelements: A Mathematical Fiction?
Resistors Are Not Capacitors, Are Not Inductors!
If It's Pinched It's … What?
Not Even Wrong
References
Physical Constraints for Ideal Memelements
List of Physical Constraints
Strong Sensitivity to Fluctuations
Stochastic Catastrophe
Violation of Landauer Principle
Over-Delayed Switching
Incompatibility with Symmetries of Electrodynamics
Intrinsic Variability of Memristive Response
References
Restoring Sanity: The Memristor Test
Back to Basic
The Memristor Test
Experimental Demonstrations of the Test
ReRAM Devices
The So-Called ``Φ Memristor''
Impossibility Conjectures
Ideal Memcapacitors and Meminductors
References
The Sociology of the Field and Lesson to Be Learned
Physical Reality Versus Mathematics
The Sociology of the Field
Whispers in the Wind
Moving Forward
The Ultimate Lesson
References
Index