Quantum Effects in Tribology

Dmitry Nikolaevich Lyubimov, Kirill Nikolaevich Dolgopolov

• Publisher: CRC Press
• Year: 2017
• Print ISBN: 9780367782405
• eBook ISBN: 9781351649513
• Topic: Physical Sciences
• Subtopic: Biology

Quantum Effects in Tribology is devoted to the study of quantum foundations of materials friction interaction and evolutionary formation of tribosystem's operating parameters. At the start of the book, large consideration is given to the analysis of the existing diversity of friction, wear, and lubrication models and their relationship with each other, as well as to the quantum nature of the measurement process and the wave function reduction caused by the act of measurement. Consideration of measurement as a process of defining the output parameters of tribosystem is carried out with the apparatus of second quantization and conceptions associated with non-local quantum effects. Such an approach makes it possible not only to take another look to the evolution of tribosystems but discover previously unknown regularities of friction.

The book is intended for professionals working in the field of tribology, but will be also useful for graduate students specializing in the theory of friction and quantum physics.

Contents

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Preface

1 Problems in Creation of the Generalized Physical Model of Friction and Wear

1.1 Subject and Methods of Tribology

1.2 Classical Structure of Friction Science

1.3 Paradigms of Tribology

1.4 The Analogy Principle as a Step towards a New Paradigm of Friction

2 Quantum Algorithm for Solving the Fundamental Paradox of Tribology

2.1 Continuity of the Instrument – Object Relation (Bohr’s Measurement Concept)

2.2 The Einstein – Podolsky – Rosen Paradox and the Problem of ‘Incompleteness’ of Quantum Equations

2.3 Information Contents of Quantum Parameters

2.4 Changes in Physical Parameters of Quantum Systems as a Result of Measurement

3 Quantum Spaces of Tribosystems

3.1 The Concept of Linear Vector Spaces

3.2 Linear Spaces in Quantum Mechanics

3.3 Relation between the Quantum Values for Dimensional Subspaces

3.4 Spatial Transformations in Quantum Mechanics

3.5 Transitions between Subspaces in a Quantum Tribosystem

4 Quantum Dynamics of Tribosystems

4.1 Minkowski Space as the Observable Tribosystem World

4.2 Quantum Principle of Least Action (Feynman Diagrams and Tribosystem Wave Function)

4.3 The Action of Force Fields on the Wave Function of a Tribosystem

4.4 Relativistic Corrections to the Tribosystem Wave Function

5 Quantum States of Manifested Tribosystem

5.1 Secular Equation of Manifested Tribosystem

5.2 Quantum Representations of Mechanical Parameters of a Tribosystem

5.3 Macrocharacteristics of a Manifested Tribosystem

5.4 Evaluation of the Degree of Quantum Entanglement between Various Tribosystems

Epilogue

Bibliography

Index

Preface

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“...we see unexpected things: we see things that are far from what we would guess – far from what we could have imagined. Our imagination is stretched to the utmost, not, as in fiction, to imagine things which are not really there, but just to comprehend those things which are there.”

Richard Feynman, American physicist

Paradigm (Greek παράδειγμα “pattern, example, sample”) is defined as universally recognized scientific achievements that, for a time, provide model problems and solutions for a community of practitioners.

Thomas Kuhn, The Structure of Scientific Revolution

This book is a continuation of the Tribophysics cycle (published by Springer as Micromechanism of Frictiona and Wear. Introduction to Relativistic Tribology) and Quantum Tribophysics. These books considered the changes faced by the atomic- molecular structure of a substance at friction and the associated micromechanisms of forming lubricating layers. They also tried to develop a mathematical formalism relevantly describing the stages of tribosystems evolution resulting from the ongoing tribotransformations.

Any theoretical model of modern physics should be based on quantum mechanics as a fundamental physical concept that describes the laws of the microworld. In this book, we introduce the quantum mechanical formalism into the presentation of the basics of tribology—from the revision of views on the nature of friction to the description of its special chapters reflecting the tribomutations, the fields generation as a result of frictional interaction of particles, ‘birth’ and ‘destruction’ of tribosystem elements at the micro-, meso- and macrolevels of its evolution.

In the methods of quantum th...

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