Ma

Brownian Motion and Beyond

Date
Jan 29, 2020
Time
5:00 PM - 6:00 PM
Speaker
Prof. Dr. Ralf Metzler
Affiliation
Universität Potsdam
Series
TUD Dresdner Mathematisches Seminar
Language
de
Main Topic
Mathematik
Other Topics
Mathematik
Host
Prof. Dr. René Schilling (Institut für Stochastik)
Description
Roughly 190 years ago Robert Brown reported the "rapid oscillatory motion" of microscopic particles, the first systematic study of what we now call Brownian motion. At the beginning of the 20th century Albert Einstein, Marian Smoluchowski, and Pierre Langevin formulated the mathematical laws of diffusion. Jean Perrin's experiments 110 years ago then prompted a very active field of ever refined diffusion experiments.

Despite the long-standing history of Brownian motion, I will report several new developments in the field of diffusion and stochastic processes. This new research has been fuelled mainly by novel insights into complex microscopic systems such as living biological cells, made possible by Nobel-Prize winning techniques in laser physics, superresolution microscopy, or through supercomputing studies. Topics covered include Brownian yet non-Gaussian diffusion in heterogeneous systems, the interplay of geometry- and reaction-control in molecular reaction kinetics, and anomalous diffusion with a power-law time dependence of the mean squared displacement. Such non-Brownian dynamics is non-universal, and questions of the precise underlying physical mechanisms become relevant. Both appropriate physical observables as well as effects of ergodicity and ageing will be discussed.
Links

Last modified: Oct 18, 2019, 2:30:00 PM

Location

TUD Willers-Bau (WIL B321)Zellescher Weg12-1401069Dresden
Homepage
https://navigator.tu-dresden.de/etplan/wil/00

Organizer

TUD MathematikWillersbau, Zellescher Weg12-1401069Dresden
Phone
49-351-463 33376
Homepage
http://tu-dresden.de/mathematik
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