Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Thermodynamics
- 2 Statistical Mechanics
- 3 Hydrodynamics
- 4 Stochastic Processes
- 5 Fluctuation Relations for Energy and Particle Fluxes
- 6 Path Probabilities, Temporal Disorder, and Irreversibility
- 7 Driven Brownian Particles and Related Systems
- 8 Effusion Processes
- 9 Processes in Dilute and Rarefied Gases
- 10 Fluctuating Chemohydrodynamics
- 11 Reactions
- 12 Active Processes
- 13 Transport in Hamiltonian Dynamical Models
- 14 Quantum Statistical Mechanics
- 15 Transport in Open Quantum Systems
- Appendix A Complements on Thermodynamics
- Appendix B Complements on Dynamical Systems Theory
- Appendix C Complements on Statistical Mechanics
- Appendix D Complements on Hydrodynamics
- Appendix E Complements on Stochastic Processes
- Appendix F Complements on Fluctuation Relations
- References
- Index
10 - Fluctuating Chemohydrodynamics
Published online by Cambridge University Press: 14 July 2022
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Thermodynamics
- 2 Statistical Mechanics
- 3 Hydrodynamics
- 4 Stochastic Processes
- 5 Fluctuation Relations for Energy and Particle Fluxes
- 6 Path Probabilities, Temporal Disorder, and Irreversibility
- 7 Driven Brownian Particles and Related Systems
- 8 Effusion Processes
- 9 Processes in Dilute and Rarefied Gases
- 10 Fluctuating Chemohydrodynamics
- 11 Reactions
- 12 Active Processes
- 13 Transport in Hamiltonian Dynamical Models
- 14 Quantum Statistical Mechanics
- 15 Transport in Open Quantum Systems
- Appendix A Complements on Thermodynamics
- Appendix B Complements on Dynamical Systems Theory
- Appendix C Complements on Statistical Mechanics
- Appendix D Complements on Hydrodynamics
- Appendix E Complements on Stochastic Processes
- Appendix F Complements on Fluctuation Relations
- References
- Index
Summary
Starting from the principles of fluctuating chemohydrodynamics, several nonequilibrium systems are investigated in order to deduce fluctuation relations for particle transport, reactive events, and electric currents with the methods presented in the previous chapters. Moreover, finite-time fluctuation theorems are obtained for stochastic processes with rates linearly depending on the random variables. In this way, fluctuation relations can be established for transport by diffusion, diffusion-influenced surface reactions, ion transport, diodes, transistors, and Brownian motion ruled by the generalized Langevin equation deduced from fluctuating hydrodynamics.
Keywords
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- Information
- The Statistical Mechanics of Irreversible Phenomena , pp. 358 - 397Publisher: Cambridge University PressPrint publication year: 2022