Paper Titles
Adolf Fick and Diffusion Equations
p.1
Einstein's Theory of Brownian Motion
p.7
Sum-Rule Relations among Phenomenological Coefficients: Application to Segregation and Chemical Diffusion in Multicomponent Alloys and Mixed Ceramic Oxides
p.17
Calculation of Phenomenological Coefficients by Monte Carlo Computer Simulation Methods
p.27
Ad- and Desorption of Oxygen at Metal-Oxide Interfaces: Numerical Approach for Non-Homogeneous Oxide Distribution
p.35
Simulation of the Diffusion Features of Point Defects in bcc Metals
p.41
Atomistic Simulation of Pipe Diffusion in AlCu Alloys
p.47
Calculation of Atom Configuration and Characteristic of Vacancy in bcc Lattice of α-Fe
p.55
Some Thoughts and/or Questions about Activation Energy and Pre-Exponential Factor
p.61

Einstein's Theory of Brownian Motion

Article Preview

Abstract:

The story of the creation of Einstein’s theory of Brownian motion is considered to the background of Einstein private life and understanding of science at the end of the 19th and the very beginning of the 20th century.

You might also be interested in these eBooks
Diffusion in Solids - Past, Present and Future View Preview

Info:

Periodical:

Defect and Diffusion Forum (Volume 249)

Pages:

7-16

DOI:

https://doi.org/10.4028/www.scientific.net/DDF.249.7

Citation:

Cite this paper

Online since:

January 2006

Authors:

Lasar S. Shvindlerman

Keywords:

Brownian Motion, Einstein, Thermodynamic

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

© 2006 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

References

[1] R.F. Feynman, R.B. Leighton and M L. Sands: The Feynman Lectures on Physics (AddisonWesley, Reading 1963), Vol. 1.

Google Scholar

[2] A. Pais: Subbtle is the Lord…, The Science and the Life of Albert Einstein (Oxford University Press, Oxford 1982).

Google Scholar

[3] J.C. Maxwell: Collected Works, Vol. 2 (Dover, New York 1940), p.376.

Google Scholar

[4] I. Asimov: A Short History of Chemistry (Doubleday, New York 1965).

Google Scholar

[5] B.S. Bokstein and L.S. Shvindlerman: Sov. Phys. Solid State Vol. 16, No. 8 (1975), p.1547.

Google Scholar

[6] L. Darken: Trans. AIME, Vol. 174(1948), p.184.

Google Scholar

[7] L. Szilard: Zt. Physik Vol. 53 (1920), p.840.

Google Scholar

[8] M. White and J. Gribbin: Einstein. A Life in Science (Simon and Schuster, London 1995).

Google Scholar

[9] A. Einstein: Investigations on the theory of the Brownian movement (Dover Publication, Inc., New York 1956).

Google Scholar

[10] E. Johnson, J.S. Andersen, M.T. Levinsen, S. Steenstrup, S. Prokofjev, V. Zilin, U. Dahmen, T. Radetic, J. H. Turner: Mater. Sci. Eng. A. Vols. 375-377 (2004), p.951.

DOI: 10.1016/j.msea.2003.10.076

Google Scholar

[11] E. Johnson, S. Prokofjev, V. Zilin and U. Dahmen: Zt. Metallkd. Vol. 96 (2005), p.10.

Google Scholar

[12] A. Calaprice (coll. ): The Quotable Einstein (Princeton University Press, Princeton, New Jersey 1996) Discussion P. Wynblatt: How was the apparent contradiction with the 2 nd law of thermodynamics resolved? L. Shvindlerman: The explanation of this contradiction which is absolutely apparent for us was not so clear for the time of Brown and even much later. The main idea: the Maxwell demon of the measurement" should be included into the system. H. Mehrer: Marian Smoluchowski had also developed a theory of Brownian motion almost simultaneously as Einstein. But he published it only shortly after Einstein work. L. Shvindlerman: Yes, Marion Smoluchowski studied the Brownian motion for a long time and he began to study it even earlier than Albert Einstein. However, the first paper dedicated to this issue was published by Albert Einstein. The relations between A. Einstein and M. Smoluchowski were very respective. J. Philibert: I would first congratulate you for this nice overview of the opinions - right ones as well as wrong ones! - of so famous scientists. I have a small remark: apparently some people find difficult to understand Einstein's paper on Brownian motion - so that he was coincided to write a simple one to the attention of chemists and physico-chemists. L. Shvindlerman: Yes, you are right. A. Einstein was asked to write a popular paper dedicated to Brownian motion. He did it, and this paper was very useful for scientists working in chemistry and metallurgy. B. Bokstein: What is the reason of Brownian motion of liquid drop in solid (Prokofiev results), Usually there are uncompensated collisions. But not in this case. L. Shvindlerman: In principle, the same as in liquid: the collisions between the particles and atoms in solids. In general, it is the same, however the details of this interaction are more complicated.

Google Scholar