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- Title Pages
- Foreword
- Preface
- Acknowledgements
- 1 Basics of Statistical Mechanics of Short-Range Interacting Systems
- 2 Equilibrium Statistical Mechanics of Long-Range Interactions
- 3 The Large Deviations Method and Its Applications
- 4 Solutions of Mean Field Models
- 5 Beyond Mean-Field Models
- 6 Quantum Long-Range Systems
- 7 BBGKY Hierarchy, Kinetic Theories and the Boltzmann Equation
- 8 Kinetic Theory of Long-Range Systems: Klimontovich, Vlasov and Lenard–Balescu Equations
- 9 Out-of-Equilibrium Dynamics and Slow Relaxation
- 10 Gravitational Systems
- 11 Two-Dimensional and Geophysical Fluid Mechanics
- 12 Cold Coulomb Systems
- 13 Hot Plasma
- 14 Wave–Particles Interaction
- 15 Dipolar Systems
- Appendix A Features of the Main Models Studied throughout the Book
- Appendix B Evaluation of the Laplace Integral Outside the Analyticity Strip
- Appendix C The Equilibrium Form of the One-Particle Distribution Function in Short-Range Interacting Systems
- Appendix D The Differential Cross-Section of a Binary Collision
- Appendix E Autocorrelation of the Fluctuations of the One-Particle Density
- Appendix F Derivation of the Fokker–Planck Coefficients
- References
- Index
- Plates

# (p.382) Appendix B Evaluation of the Laplace Integral Outside the Analyticity Strip

# (p.382) Appendix B Evaluation of the Laplace Integral Outside the Analyticity Strip

- Source:
- Physics of Long-Range Interacting Systems
- Publisher:
- Oxford University Press

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- Title Pages
- Foreword
- Preface
- Acknowledgements
- 1 Basics of Statistical Mechanics of Short-Range Interacting Systems
- 2 Equilibrium Statistical Mechanics of Long-Range Interactions
- 3 The Large Deviations Method and Its Applications
- 4 Solutions of Mean Field Models
- 5 Beyond Mean-Field Models
- 6 Quantum Long-Range Systems
- 7 BBGKY Hierarchy, Kinetic Theories and the Boltzmann Equation
- 8 Kinetic Theory of Long-Range Systems: Klimontovich, Vlasov and Lenard–Balescu Equations
- 9 Out-of-Equilibrium Dynamics and Slow Relaxation
- 10 Gravitational Systems
- 11 Two-Dimensional and Geophysical Fluid Mechanics
- 12 Cold Coulomb Systems
- 13 Hot Plasma
- 14 Wave–Particles Interaction
- 15 Dipolar Systems
- Appendix A Features of the Main Models Studied throughout the Book
- Appendix B Evaluation of the Laplace Integral Outside the Analyticity Strip
- Appendix C The Equilibrium Form of the One-Particle Distribution Function in Short-Range Interacting Systems
- Appendix D The Differential Cross-Section of a Binary Collision
- Appendix E Autocorrelation of the Fluctuations of the One-Particle Density
- Appendix F Derivation of the Fokker–Planck Coefficients
- References
- Index
- Plates