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

Publication subTitle ：From Statistical Physics to Bio and Nano-motors

Author： David Cubero; Ferruccio Renzoni

Publisher： Cambridge University Press‎

Publication year： 2016

E-ISBN: 9781316540626

P-ISBN(Paperback): 9781107063525

Subject： O552.1 Brownian motion

Keyword：统计物理学

Language： ENG

Access to resources Favorite

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Brownian Ratchets

Description

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.

Chapter

Part I Historical overview and early developments

1 Limitations imposed by the second law of thermodynamics

1.1 The second law of thermodynamics

1.2 Brillouin paradox

1.3 Feynman ratchet

1.4 Equilibrium and detailed balance

References

2 Fundamental models of ratchet devices

2.1 The flashing ratchet

2.2 The forced ratchet

2.3 The information ratchet

2.4 Overview of different classes of ratchet models

References

3 General relevance of the concept of ratchets

3.1 The realm of the world at the nanoscale

3.2 Molecular motors

3.3 Paradoxical games

3.4 Summary

References

Part II Theoretical foundations

4 Classical ratchets

4.1 Brownian motion

4.2 Stochastic ratchets

4.2.1 General considerations

4.3 Symmetry and transport

4.3.1 Dissipationless limit

4.3.2 Dissipative systems

4.3.3 Two-dimensional systems

4.3.4 Overdamped systems

4.4 Universal symmetry analysis

4.4.1 Time-shift invariance

4.4.2 Spatially-symmetric systems

4.4.3 Time reversal

4.4.4 Symmetries shape the current

4.5 Quasiperiodically driven systems

4.6 Chaotic ratchets

4.7 Hamiltonian ratchets

4.8 Current reversals

4.9 Beyond Brownian motion: anomalous diffusion

4.10 Lévy ratchet

4.11 Ratchets with feedback

References

5 Quantum ratchets

5.1 Dissipative quantum ratchets

5.2 Hamiltonian quantum ratchets

5.2.1 Directed transport in fully chaotic systems

5.2.2 AC-driven quantum ratchets

References

6 Energetics and characterization

6.1 Energetics

6.1.1 Thermodynamics of Brownian motion

6.2 Efficiency

6.3 Coherency

References

Part III Experimental realizations of ratchet devices

7 Ratchets for colloidal particles

7.1 Directed motion of colloidal particles in a flashing asymmetric potential

7.2 Optical tweezers realizations of Brownian ratchets

7.3 Particle separation

References

8 Cold atom ratchets

8.1 Ratchets in dissipative optical lattices

8.1.1 Dissipative optical lattices

8.1.2 Rocking ratchet with biharmonic driving

8.1.3 Quasiperiodically driven ratchets

8.1.4 2D rocking ratchets

8.2 Quantum Hamiltonian ratchets

8.2.1 Fully chaotic ratchet

8.2.2 Ratchets for Bose–Einstein condensates

8.2.3 Summary

References

9 Solid-state ratchets

9.1 Electron tunneling ratchet in semiconductor heterostructures

9.2 Ratchet effect for vortices in superconductors

9.3 Rectification of vortex motion in Josephson junction arrays

9.4 Quantum ratchet effect in graphene

9.4.1 Summary

References

10 Bio-inspired molecular motors

10.1 Artificial protein motors

10.2 Fully synthetic molecular motors

10.2.1 Rotary motors

10.2.2 Linear motors

References

Appendix A Stochastic processes techniques

A.1 The Wiener process

A.2 Itô calculus

A.2.1 Connection with Stratonovich calculus

A.3 The Fokker–Planck equation

References for appendix A

Appendix B Symmetries in a 1D overdamped system

B.1 Higher-dimensional overdamped systems

B.2 A more general time-dependent potential

Appendix C Floquet theory

C.1 Floquet theorem

C.2 Time-evolution operator

Index

The users who browse this book also browse