Brownian Ratchets: From Statistical Physics to Bio and Nano-motors

David Cubero; Ferruccio Renzoni

doi:10.1017/CBO9781107478206

Illustrating the development of Brownian ratchets, from their foundations, to their role in the description of life at the molecular scale and in the design of artificial nano-machinery, this text will appeal to both advanced graduates and researchers entering the field. Providing a self-contained introduction to Brownian ratchets, devices which rectify microscopic fluctuations, Part I avoids technicalities and sets out the broad range of physical systems where the concept of ratchets is relevant. Part II supplies a single source for a complete and modern theoretical analysis of ratchets in regimes such as classical vs quantum and stochastic vs deterministic, and in Part III readers are guided through experimental developments in different physical systems, each highlighting a specific unique feature of ratchets. The thorough and systematic approach to the topic ensures that this book provides a complete guide to Brownian ratchets for newcomers and established researchers in physics, biology and biochemistry.

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Contents

Frontmatter
pp i-iv
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Dedication
pp v-vi
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Contents
pp vii-x
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Preface
pp xi-xii
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Part I - Historical overview and early developments
pp 1-2
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1 - Limitations imposed by the second law of thermodynamics
pp 3-12
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2 - Fundamental models of ratchet devices
pp 13-26
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3 - General relevance of the concept of ratchets
pp 27-36
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Part II - Theoretical foundations
pp 37-38
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4 - Classical ratchets
pp 39-84
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5 - Quantum ratchets
pp 85-96
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6 - Energetics and characterization
pp 97-104
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Part III - Experimental realizations of ratchet devices
pp 105-106
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7 - Ratchets for colloidal particles
pp 107-116
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8 - Cold atom ratchets
pp 117-138
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9 - Solid-state ratchets
pp 139-150
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10 - Bio-inspired molecular motors
pp 151-167
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Appendix A - Stochastic processes techniques
pp 168-173
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Appendix B - Symmetries in a 1D overdamped system
pp 174-181
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Appendix C - Floquet theory
pp 182-183
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Index
pp 184-186
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Brownian Ratchets

From Statistical Physics to Bio and Nano-motors

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Contents

Frontmatter
pp i-iv

Dedication
pp v-vi

Contents
pp vii-x

Preface
pp xi-xii

Part I - Historical overview and early developments
pp 1-2

1 - Limitations imposed by the second law of thermodynamics
pp 3-12

2 - Fundamental models of ratchet devices
pp 13-26

3 - General relevance of the concept of ratchets
pp 27-36

Part II - Theoretical foundations
pp 37-38

4 - Classical ratchets
pp 39-84

5 - Quantum ratchets
pp 85-96

6 - Energetics and characterization
pp 97-104

Part III - Experimental realizations of ratchet devices
pp 105-106

7 - Ratchets for colloidal particles
pp 107-116

8 - Cold atom ratchets
pp 117-138

9 - Solid-state ratchets
pp 139-150

10 - Bio-inspired molecular motors
pp 151-167

Appendix A - Stochastic processes techniques
pp 168-173

Appendix B - Symmetries in a 1D overdamped system
pp 174-181

Appendix C - Floquet theory
pp 182-183

Index
pp 184-186

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Brownian Ratchets

From Statistical Physics to Bio and Nano-motors

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