Table of Contents:
  • Introduction: time in physics : The dynamical description and its limits ; The second law of thermodynamics ; Molecular description of irreversible processes ; Time and dynamics
  • The physics of being : Classical dynamics : Introduction ; Hamiltonian equations of motion and ensemble theory ; Operators ; Equilibrium ensembles ; Integrable systems ; Ergodic systems ; Dynamical systems neither integrable nor ergodic ; Weak stability
  • Quantum mechanics : Introduction ; Operators and complementarity ; Quantization rules ; Time change in quantum mechanics ; Ensemble theory in quantum mechanics ; Schrodinger and Heisenberg representations ; Equilibrium ensembles ; The measurement problem ; Decay of unstable particles ; Is quantum mechanics complete?
  • The physics of becoming : Thermodynamics : Entropy and Boltzmann's order principle ; Liner nonequilibrium thermodynamics ; Thermodynamic stability theory ; Application to chemical reactions
  • Self-organization : Stability, bifurcation, and catastrophes ; Bifurcations: the Brusselator ; A solvable model for bifurcation ; Coherent structures in chemistry and biology ; Ecology ; Concluding remarks
  • Nonequilibrium fluctuations : The breakdown of the law of large numbers ; Chemical games ; Nonequilibrium phase transitions ; Critical fluctuations in nonequilibrium systems ; Oscillations and time symmetry breaking ; Limits to complexity ; Effect of environmental noise ; Concluding remarks
  • The bridge from being to becoming : Kinetic theory : Introduction ; Boltzmann's kinetic theory ; Correlations and the entropy of rejuvenation ; Gibbs entropy ; The Poincare ́-Misra theorem ; A new complementarity
  • The microscopic theory of irreversible processes : Irreversibility and the extension of formalism of classical and quantum mechanics ; A new transformation theory ; Construction of the entropy operator and the transformation theory: the Baker transformation ; Entropy operator and the Poincare ́ catastrophe ; Microscopic interpretation of the second law of thermodynamics: collective modes ; Particles and dissipation: a non-Hamiltonian microworld
  • The laws of change : Einstein's dilemma ; Time and change ; Time and entropy as operators ; Levels of description ; Past and future ; An open world.