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Brownian motion: a paradigm of soft matter and biological physics. (English) Zbl 1098.92002
Summary: This is a pedagogical introduction to Brownian motion on the occasion of the 100 th anniversary of Einstein’s 1905 paper on the subject. After briefly reviewing Einstein’s work in a contemporary context, we pursue several lines of further developments and applications to soft condensed matter and biology. Over the last century Brownian motion has been promoted from an odd curiosity of marginal scientific interest to a guiding theme pervading all of the modern life sciences.

MSC:
92C05 Biophysics
60J65 Brownian motion
82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics
82C70 Transport processes in time-dependent statistical mechanics
60K35 Interacting random processes; statistical mechanics type models; percolation theory
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