Computer Modeling of ComplexSystems
Lecture 1 - Introductions
Jacek Majewski, Piotr Szymczak, Micha Tomza, Marek Trippenbach
Syllabus1. Introductions (including intro to python)
2. Pattern Formation and Hydrodynamics: growth processes, river networks, lattice-Boltzmann method, Stokesian dynamics (Piotr Szymczak, October)
3. Modeling of nano-world: electronic structure, charg transport, nanomagnets (Jacek Majewski, November)
4. Ultracold atoms: multichannel quantum scattering, magnetic Feshbach resonances (Micha Tomza, December)
5. Nolinear Schrdinger Equation and Solitons: nonlinear optical media, microresonators, Josephson effect (Marek Trippenbach, January)
today!
Important points:
Youre encouraged (but not required) to use your ownlaptop in computer lab
Once in a semester a short (~3 min. presentation) aboutthe previous lecture
Numerical projects during each computer lab Theoretical exam (~10 short questions from both of us)
Feel free to ask, argue and discuss our answers!
P.W.Anderson (Nobel prize, 1977)
More is different, Science, 4 Aug. 1972 Vol. 177
Complex systems are made up of a large number of entities that by interacting locally with each other give rise to qualitatively new global properties or appearance of ordered structuresThese novel, emergent properties arising on each level of complexity - are not a mere summation of properties of parts of the system
"Cell is not a tiger, just as a single gold atom is notyellow and gleaming
Complex systems
Umbahovar, Melo, Swinney, 1996
Oscillons
How shapes are formed?
pinnacles in Nambung NP, Australia
pinnacles in microfluidicdissolution experiments
Giants Causeway potato starchexperiments
solitary mountains, Wanfenglin, China
How shapes are formed?
stone forest at Cape Bridgewater, Australia
Sinkhole, Guatemala City
Pobiti Kamani, Bulgaria
dissolution fingers, Smerdyna
dissolution fingers, microfluidic experiments
How landscapes are formed?
Forest of Ten Thousands Peaks, China
dolines, Slovenia
Chocolate Hills, Phillipines
dolines, New Zealand
How networks are formed?
river network, Allegheny Plateau
leaf veins blood vessels
network geometry vs growth dynamics
Soft matter and fluid dynamics
single protein moleculesunder mechanical force
translocation of proteinsthrough pores
single molecules in a flow
protein aggregation bead models of biomolecules
Lecture overview
diffusion-limited aggregation
lattice-Boltxzmann method
river network growth
Stokesian dynamics
Computer Modeling of Complex SystemsSyllabusImportant points:Complex systemsOscillonsHow shapes are formed?How shapes are formed?How landscapes are formed?How networks are formed?Soft matter and fluid dynamicsLecture overview