Disordered and Off-Equilibrium Systems
Kierunek studiów: Biofizyka
Kod programu: W4-S2BFA21.2022
Nazwa modułu: | Disordered and Off-Equilibrium Systems |
---|---|
Kod modułu: | W4-2BF-MB-21-03 |
Kod programu: | W4-S2BFA21.2022 |
Semestr: |
|
Język wykładowy: | angielski |
Forma zaliczenia: | egzamin |
Punkty ECTS: | 6 |
Opis: | 1. From order to disorder
Non-periodical long-range positional order: quasi-crystals
Disorder in long-range positional atomic systems (cellular disorder): Substitutional disorder: interstitial and substitutional impurities, vacancies; Orientational disorder: plastic crystals (e.g. fullerene)
Disorder in atomic systems without long-range positional order (topological disorder): Base elements in real crystals:
Dislocations and Burger’s vector, Interfacial defects. Liquid state and amorphous state: N-bodies distribution functions, particular case: pair distribution; static structure factor; Hard sphere atomic liquids: Percus-Yevick theory.
Disorder in polymeric systems: Conformations of polymeric linear chain: analogy with a random walk. Chain rigidity: Kuhn’s segment. Size distribution of the linear polymeric chain. Free energy of polymeric chain, entropic elasticity. The pair distribution function of polymeric chain: self-similarity
2. From equilibrium to out of equilibrium
Supercooled metastable states and glass transition in liquids: Van Hove function and its momenta; Collective and microscopic dynamics: cage effect and vibrational properties, local and structural relaxation, relaxation time distribution, diffusion, visco-elasticity; Simple models of glass transition: Free volume, Configurational entropy.
Elements of non-equilibrium thermodynamics: Zero Principle: fictive temperature in glasses, fluctuation-dissipation theorem violation; Second Principle: Jarzynski’s equality and Crooks fluctuation theorem: experimental tests in nanosystems.
Polymeric chain Dynamics: Short-chain: Rouse model; Long chain: entanglement effect; Edwards tube model; De Gennes reptation motion: scale arguments.
Non-equilibrium states in the active matter: Molecular Motors; Bacteria, Swimmers, swarms: emergent collective motions and glass transition.
3. Experimental techniques: structure and dynamics of disordered systems
Scattering from disordered systems: generalities: Scattering cross-sections, coherent and incoherent scattering; Static and dynamic structure factor, elastic and inelastic scattering; Spatial, temporal and spatio-temporal correlation function.
Photon Scattering (X-rays and light): Sources of coherent radiation (synchrotron), spectrometers and detectors; Structure of disordered systems: X-ray diffraction at a wide and small angle; Dynamics in disordered systems: Brillouin and Raman scattering, inelastic X-ray scattering, photocorrelation spectroscopy.
Neutron scattering: Neutron sources and detectors: typical experimental layout; Structure of disordered systems: neutron diffraction at a wide and small angle, comparison with X-ray; inelastic neutron scattering and spectroscopy: TAS, TOF, Backscattering, Spin-Echo. |
Wymagania wstępne: | (brak informacji) |
Literatura podstawowa: | (brak informacji) |
Efekt modułowy | Kody efektów kierunkowych do których odnosi się efekt modułowy [stopień realizacji: skala 1-5] |
---|---|
Students will be able to understand and analyze scientific reports concerning experimental, theoretical, and computational studies concerning the physics of disordered and off-equilibrium systems [MB_03_1] |
KBF_W01 [4/5] |
Typ | Opis | Kody efektów modułowych do których odnosi się sposób weryfikacji |
---|---|---|
egzamin [MB_03_w_1] | oral exam |
MB_03_1 |
Rodzaj prowadzonych zajęć | Praca własna studenta | Sposoby weryfikacji | |||
---|---|---|---|---|---|
Typ | Opis (z uwzględnieniem metod dydaktycznych) | Liczba godzin | Opis | Liczba godzin | |
wykład [MB_03_fs_1] | Detailed discussion by the lecturer of the issues listed in the table "module description" using the table and/or multimedia presentations |
48 | Supplementary reading, working with the textbook |
102 |
egzamin [MB_03_w_1] |
Załączniki |
---|
Opis modułu (PDF) |
Informacje o sylabusach mogą ulec zmianie w trakcie trwania studiów.
Sylabusy (USOSweb) | ||
---|---|---|
Semestr | Moduł | Język wykładowy |
(brak danych) |