## Investigations on the Theory of the Brownian MovementThe "Brownian movement" was first described in 1828 by the botanist Robert Brown. While investigating the pollen of several different plants, he observed that pollen dispersed in water in a great number of small particles which he perceived to be in uninterrupted and irregular "swarming" motion. For more than half a century following, a score of scientists studied this motion, common to organic and inorganic particles of microscopic size when suspended in a liquid, to determine the causes and the dynamics of the motion. This volume contains five papers investigating the dynamics of this phenomenon by Albert Einstein. Written between 1905 and 1908, the papers evolve an elementary theory of the Brownian motion, of interest not only to mathematicians but also to chemists and physical chemists. The titles of the papers are: "Movement of Small Particles Suspended in a Stationary Liquid Demanded by the Molecular-Kinetic Theory of Heat"; "On the Theory of the Brownian Movement"; "A New Determination of Molecular Dimensions"; "Theoretical Observations on the Brownian Motion"; and "Elementary Theory of the Brownian Motion." The editor, R. Fürth, has provided notes at the end of the book which discuss the history of the investigation of the Brownian movement, provide simple elucidations of the text, and analyze the significance of these papers. |

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### Table des matières

ON THE MOVEMENT OF SMALL PARTICLES SUSPENDED IN A STATIONARY LIQUID DEMANDED BY THE MOLECULARKINETIC THE... | 1 |

1 On the Osmotic Pressure to be Ascribed to the Suspended Particles | 2 |

2 The Osmotic Pressure from the Standpoint of the Molecularkinetic Theory of Heat | 4 |

3 Theory of the Diffusion of Small Spheres in Suspension | 9 |

4 On the Irregular Movement of Particles Suspended in a Liquid and the Relation of this to Diffusion | 12 |

5 Formula for the Mean Displacement of Suspended Particles A New Method of Determining the Real Size of the Atom | 17 |

ON THE THEORY OF THE BROWNIAN MOVEMENT | 19 |

1 On a Case of Thermodynamic Equilibrium | 21 |

2 Examples of Application of the Equation obtained in 1 | 24 |

3 On the Changes in the Parameter a brought about by the Thermal Motion | 28 |

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according actual molecules AGOSTINO RAMELLI algebra ANALYSIS applied approximately assumed ATOMIC Bibliography Brownian motion Brownian movement calculate CALCULUS OF VARIATIONS centre of gravity chemistry Classic concentration condition corresponding cules deﬁned deﬁnite determined DIFFERENTIAL EQUATIONS dissolved substance domain G dynamic equilibrium edition Einstein elementary energy equal equilibrium expression ﬁeld ﬁgures Fiirth ﬁnd ﬁrst follows force K force K acts formula function gases geometry given gram.molecules indeﬁnitely large indeﬁnitely small inﬂuence integral interval introduction investigate irregular thermal processes kinetic theory large number liquid Loschmidt's number magnitude manner mathematics method mole molecular theory obtain ORDINARY DIFFERENTIAL EQUATIONS osmotic pressure parameter Phys PHYSICS problems quantity quantum quantum mechanics radiation result satisﬁed single particles solute molecules solvent sphere of radius spherical statistical mechanics Stokes formula sugar solution suspended particles suspended spheres text covers theory of heat thermodynamics tion topology unit volume velocity velocity.components viscosity X.axis Zeit