Brownian motion: a paradigm of soft matter and biological physics
Erwin Frey, Klaus Kroy

TL;DR
This paper provides a pedagogical overview of Brownian motion, highlighting its historical development, theoretical foundations, and significance in soft matter and biological physics over the past century.
Contribution
It offers a comprehensive review of Brownian motion's evolution, emphasizing its role as a fundamental concept in modern soft matter and biological physics.
Findings
Brownian motion is central to understanding soft matter and biological systems.
The paper traces the historical development from Einstein's work to modern applications.
Brownian motion has become a guiding theme across various scientific disciplines.
Abstract
This is a pedagogical introduction to Brownian motion on the occasion of the 100th anniversary of Einstein's 1905 paper on the subject. After briefly reviewing Einstein's work in its contemporary context, we pursue some lines of further developments and applications in soft condensed matter and biology. Over the last century Brownian motion became promoted from an odd curiosity of marginal scientific interest to a guiding theme pervading all of the modern (live) sciences.
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