LFU:online

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The students will master basic concepts of many-body physics in the context of classical physics, in particular, Brownian motion.

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The students will master concepts of Advanced Statistical Physics.

Contents:

The motion of mesosized particles in suspension is neither described by quantum mechanics nor by Newtonian dynamics. Rather their motion is erratic and driven by the many collisions with the much smaller solvent molecules as first recognized by Einstein. In this lecture we will elaborate the physical and mathematical foundations of Brownian motion and discuss various applications. The lecture will include

1. The discovery of Brownian motion
2. Langevin equation and stochastic differential equations for single trajectories
3. Fokker-Planck equation for the ensemble of trajectories
4. Fluctuation-dissipation theorems
5. First-passage time problems
6. Stochastic Thermodynamics.

This class is valid for the specialisations many-body physics, computational physics, and quantum sciences. Please register only here.