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FACOLTÀ DI SCIENZE MATEMATICHE, FISICHE E NATURALI

THESIS SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF PH.D. IN PHYSICS, OCTOBER 2001

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- Contents
- Introduction
- Experiments on granular materials

- Transport equations for elastic and inelastic gases
- The binary collision
- From the Liouville to the kinetic equations
- The Liouville and the pseudo-Liouville equations
- The BBGKY hierarchy
- The Boltzmann hierarchy and the Boltzmann equation
- Collision invariants, H-theorem and hydrodynamical limit
- The Maxwell molecules
- The Enskog correction
- The ring kinetics equations for hard spheres
- The Boltzmann equation for granular gases

- The hydrodynamical limit
- Granular hydrodynamics
- Granular gases without hydrodynamics

- The randomly driven granular gas
- The model
- MD and DSMC simulations: outcomes
- Deviations from the homogeneous Boltzmann equation
- Toy models for a mean field analysis

- The driven granular gas with gravity
- The models
- The 2D Inclined Plane Model
- The 2D Inclined Channel Model
- A tentative hydrodynamic approach

- Instability development in cooling granular fluids
- Phenomenology and theory
- Models in 1D
- The exact distribution of velocities for the 1D pseudo-Maxwell model
- The Inelastic Lattice Gas: outcomes of 2D simulations
- A synthesis of the cooling granular gas problem

- Conclusions
- Appendix A - The Direct Simulation Monte Carlo
- Appendix B - Coefficients of granular hydrodynamics of 2D Inclined Plane Model
- Papers
- Bibliography
- Credits for pictures
- About this document ...

Andrea Puglisi 2001-11-14