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On the (hydrodynamic) memory in the theory of Brownian motion

2004/10/09 by V. Lisý, V. Lisy, Lisy, V. +3
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0410222

arxiv created 2004/10/09 · openalex publication_date 2004/10/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to remember and review several exceptional investigations on the theory of the Brownian motion. Although in these works the first correct hydrodynamic theories of the translational and rotational Brownian motion have been created, they remained unknown or very little known to the physical community and long time after the appearance of the original papers their main results were rediscovered by other authors. The reviewed works are highly interesting not only historically but from the methodical point of view as well.

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