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