Stochastic thermodynamics has emerged as a comprehensive theoretical framework for a large class of non-equilibrium systems including molecular motors, biochemical reaction networks, colloidal particles in time-dependent laser traps, and bio-polymers under external forces. This book introduces the topic in a systematic way, beginning with a dynamical perspective on equilibrium statistical physics. Key concepts like the identification of work, heat and entropy production along individual stochastic trajectories are then developed and shown to obey various fluctuation relations beyond the well-established linear response regime. Representative applications are then discussed, including simple models of molecular motors, small chemical reaction networks, active particles, stochastic heat engines and information machines involving Maxwell demons. This book is ideal for graduate students and researchers of physics, biophysics, and physical chemistry, with an interest in non-equilibrium phenomena.
1. From classical mechanics to statistical mechanics; 2. Canonical distribution; 3. Processes, first and second laws; 4. Work distributions from Hamiltonian trajectories; 5. Discrete states: Equilibrium, relaxation and time-dependent driving; 6. Enzymes and enzymatic reactions; 7. Thermodynamically consistent asymmetric random walk; 8. Non-equilibrium steady states; 9. Brownian motion; 10. Driven colloidal particle; 11. Correlation and linear response; 12. Molecular motors; 13. Chemical reaction networks; 14. Active particles; 15. Stochastic heat engines; 16. Information processing; 17. Coarse-graining; 18. Langevin dynamics: Advanced topics; 19. Large deviations; 20. Optimization; Appendix A. Some technical tools for Chapter 1; Appendix B. Hamiltonian dynamics and Liouville's theorem; Appendix C. Isobaric description or 'pressure ensemble'; Appendix D. Legendre transformations; Appendix E. Gaussian random variables and random functions; Appendix F. Supplement on the dynamics for systems with discrete states; Appendix G. Supplement on interacting particles; Appendix H. Local equilibrium and the identification of heat current; Bibliography; Index.
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