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| PHYS0069-1 | Introduction to statistical physics
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| Duration : | 30h Th, 30h Pr |
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| Credits/ECTS : |
| Master in Biomedical Engineering, in-depth approach, 1st year |  | Toute l'année |  | 5 |
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| Master in Engineering Physics, in-depth approach, 1st year |  | Toute l'année |  | 5 |
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| Master in Engineering Physics, in-depth approach, 2nd year |  | Toute l'année |  | 5 |
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| Master in Engineering Physics, specialized approach, 1st year |  | Toute l'année |  | 5 |
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| Master in Engineering Physics, specialized approach, 2nd year |  | Toute l'année |  | 5 |
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| Holder(s) : | Stéphane Dorbolo |
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| Language : | Langue française |
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| Course contents : | The statistical physics lecture concerns the relationship between the microscopic interaction between two particles and the macroscopic physical properties of a large number of these particles.
Part I: Equilibrium
Gibbs ensemble approach is detailed and consequently the microcanonical, canonical and grand-canonical ensemble are described. Afterwards, the quantum statistics of Fermi-Dirac and Bose-Einstein are explained and compared. The Bose-Einstein condensation is finally described.
Part II: Phase transition
The link between micro- and macro-worlds is emphasized. First order and second order transition are compared. The Landau model is explained and its limitation defined by the Ginzburg-Landau criterium. Finally, spin models (Ising) are approached and also modern techniques as Wilson's renormalization.
Part III: Percolation and diffusion. |
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| Course objective : | Link between micro and macroscopic world
Gibbs ensembles
Fermi-Dirac and Bose-Einstein statistics
Perfect and real gas
What is a phase transition? Order and control parameters
Landau model and Ginzburg-Landau criterium
Spin model (Ising)
Renormalization
Percolation and diffusion |
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| Prerequisites : | Thermodynamics, Hamilton mechanics |
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| Workshops : | Exercises session in order to illustrate the lecture.
Lab'work: to realize an original experiments, to interpret, to make a poster. The purpose is to be placed into a research situation. Discussion with the assistants and the teacher will help to understand the results. |
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| Organization : | 25h: theory 5h: seminars
20h: exercise 10h: labs |
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| Written notes : | available on the grasp web site http://www.grasp.ulg.ac.be |
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| Assessment : | 40% oral examination 40% written examination 20% labs |
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| Contacts : | s.dorbolo@ulg.ac.be 04/366 36 56 |
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