Contents -- Foreword -- Introduction -- 1. Entropy -- 1.1 Statistical Ensembles -- 1.2 Microcanonical Ensemble and Entropy -- 1.3 Thermodynamics -- 1.4 Principle of Maximum Entropy -- 1.5 Example: Defects in Solid -- 2. Maxwell-Boltzmann Distribution -- 2.1 Classical Gas of Atoms -- 2.2 The Most Probable Distribution -- 2.3 The Distribution Function -- 2.4 Thermodynamic Properties -- 3. Free Energy -- 3.1 Canonical Ensemble -- 3.2 Energy Fluctuations -- 3.3 The Free Energy -- 3.4 Maxwell's Relations -- 3.5 Example: Unwinding of DNA -- 4. Chemical Potential -- 4.1 Changing the Particle Number -- 4.2 Grand Canonical Ensemble -- 4.3 Thermodynamics -- 4.4 Critical Fluctuations -- 4.5 Example: Ideal Gas -- 5. Phase Transitions -- 5.1 First-Order Phase Transitions -- 5.2 Second-Order Phase Transitions -- 5.3 Van der Waals Equation of State -- 5.4 Maxwell Construction -- 6. Kinetics of Phase Transitions -- 6.1 Nucleation and Spinodal Decomposition -- 6.2 The Freezing of Water -- 7. The Order Parameter -- 7.1 Ginsburg-Landau Theory -- 7.2 Second-Order Phase Transition -- 7.3 First-Order Phase Transition -- 7.4 Cahn-Hilliard Equation -- 8. Correlation Function -- 8.1 Correlation Length -- 8.2 Large-Distance Correlations -- 8.3 Universality Classes -- 8.4 Compactness Index -- 8.5 Scaling Properties -- 9. Stochastic Processes -- 9.1 Brownian Motion -- 9.2 Random Walk -- 9.3 Diffusion -- 9.4 Central Limit Theorem -- 9.5 Diffusion Equation -- 10. Langevin Equation -- 10.1 The Equation -- 10.2 Solution -- 10.3 Fluctuation-Dissipation Theorem -- 10.4 Power Spectrum and Correlation -- 10.5 Causality -- 10.6 Energy Balance -- 11. The Life Process -- 11.1 Life -- 11.2 Cell Structure -- 11.3 Molecular Interactions -- 11.4 Primary Protein Structure -- 11.5 Secondary Protein Structure -- 11.6 Tertiary Protein Structure -- 11.7 Denatured State of Protein.

12. Self-Assembly -- 12.1 Hydrophobic Effect -- 12.2 Micelles and Bilayers -- 12.3 Cell Membrane -- 12.4 Kinetics of Self-Assembly -- 12.5 Kinetic Arrest -- 13. Kinetics of Protein Folding -- 13.1 The Statistical View -- 13.2 Denatured State -- 13.3 Molten Globule -- 13.4 Folding Funnel -- 13.5 Convergent Evolution -- 14. Power Laws in Protein Folding -- 14.1 The Universal Range -- 14.2 Collapse and Annealing -- 14.3 Self-Avoiding Walk (SAW) -- 15. Self-Avoiding Walk and Turbulence -- 15.1 Kolmogorov's Law -- 15.2 Vortex Model -- 15.3 Quantum Turbulence -- 15.4 Convergent Evolution in Turbulence -- 16. Convergent Evolution in Protein Folding -- 16.1 Mechanism of Convergent Evolution -- 16.2 Energy Cascade in Turbulence -- 16.3 Energy Cascade in the Polymer Chain -- 16.4 Energy Cascade in the Molten Globule -- 16.5 Secondary and Tertiary Structures -- A. Model of Energy Cascade in a Protein Molecule -- A.1 Brownian Motion of a Forced Harmonic Oscillator -- A.2 Coupled Oscillators -- A.2.1 Equations of Motion -- A.2.2 Energy Balance -- A.2.3 Fluctuation-Dissipation Theorem -- A.2.4 Perturbation Theory -- A.2.5 Weak-Damping Approximation -- A.3 Model of Protein Dynamics -- A.4 Fluctuation-Dissipation Theorem -- A.5 The Cascade Time -- A.6 Numerical Example -- Index.