Stochastics, Correlations and Memory in Physics

Roland Netz (FU)

Theoretical concepts to deal with stochastic, correlation and memory effects in nanoscale- and bio-physics systems (liquids, proteins, organisms) will be introduced and discussed.  These concepts will be applied to experiments that probe the motion of particles or organisms, the structure and spectroscopic properties of liquids and chemical or conformational transitions. Concepts will be explained in the lectures, detailed theoretical derivations will be presented in handouts that will be discussed in the tutorial. Analytical theory will be compared with numerical approaches and simulations. The exam will take place in terms of a homework that can be chosen from the different topics covered in class.
- Brownian motion in liquids and complex systems
       classical Brownian theory
       stochastic theory for financial and meteorological time series data
       motion of living organisms
       environmental memory effects, aging
       normal and anomalous diffusion
- Central limit theorem, equipartition theorem, deviations from Gaussian distributions on the nanoscale
- Correlations in interacting liquids
       Ornstein-Zernike theory, classical density functional theory, scattering functions
- Rare events, non-linear effects
       barrier crossing events
       chemical reaction kinetics in liquids
       protein folding
- Spectroscopy
       harmonic damped oscillator
       anharmonic effects
       homogeneous versus inhomogeneous line broadening
       spectral life times
- Non-equilibrium systems
       approach to equilibrium
      stationary non-equilibrium systems

Please contact Prof Netz to register for the course. The course will be online. The tutorial to this course takes place Thursdays from 2pm to 4pm, starting on April 22, 2021.