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| PHYS0961-1 | Irreversibility, instabilities and chaos
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| Duration : | 30h Th, 30h Pr |
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| Number of credits : |
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| Lecturer : | Pierre Dauby |
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Language(s) of instruction :
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| French language |
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Organisation and examination :
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| Teaching in the first semester, review in January |
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Course contents :
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| Classical (Onsager-Prigogine) Irreversible Thermodynamics. Coupling of the thermodynamical fluxes and forces
- Direct effects : viscosity, Fourier's, Fick's, Ohm's laws
- Crossed effects: thermodiffusion, thermoelectricity
Self-organization far from equilibrium
- Notion of stability of a flow, transitions in fluids
- Thermoconvective instability (Rayleigh-Bénard-Marangoni instability), linear and non linear approaches, self-organization in fluids, competition between different geometrical patterns
- Genericity of self-organization phenomena
- Reaction-diffusion equations : application in chemistry (Belousov-Zhabotinsky), Turing instability, morphogenesis
Introduction to the study of dynamical systems
- elementary bifurcations
- transitions to chaos
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Learning outcomes of the course :
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| At the end of the course, the student will know the basics of Classical Irreversible Thermodynamics as developped by Onsager and Prigogine. He will also have learned how to describe self-organization phenomena in the frame of this theory. Eventually, he will be able to illustrate these phenemena by numerical simulations of the corresponding equations. |
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Prerequisites and co-requisites/ Recommended optional programme components :
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| Basic knowledge of continuum mechanics is an asset. |
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Planned learning activities and teaching methods :
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| Theory is presented in lectures. The exercices consist in a numerical analysis of a self-organizing system. |
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Mode of delivery (face-to-face ; distance-learning) :
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| Mainly face-to-face teaching (with exercices partly as home-works). |
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Recommended or required readings :
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| Notes available on the web ("MyUlg"). |
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Assessment methods and criteria :
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| Oral or written exam on theory (60%). Report on the numerical homework (40%). |
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Work placement(s) :
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Organizational remarks :
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Contacts :
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| Pierre C. DAUBY, Chargé de cours
Institut de Physique (local 2/57), Bât. B5a, Allée du 6 août 17, B-4000 Liège 1
Tel. : 04/366.23.57 - email: PC.Dauby@ulg.ac.be
Arnaud COLLET, FRIA Research fellow,
Institut de Physique, Bât. B5a, Allée du 6 août 17, B-4000 Liège 1
Tel. : 04/366.33.56 - email: A.Collet@ulg.ac.be |
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