A simple model for Brownian motion leading to the Langevin equation

American Journal of Physics

Volumn 67, Issue 12, 1999, Pages 1248-1252

  De Grooth, Bart G ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033272045     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.19111     Document Type: Article

References (25)

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14. j by the average interval time t̄ from which the third equality of Eq. (3) follows.
15. Equation (10) can be deduced directly by using a moving coordinate system in which the Brownian particle is at rest. Assuming M ≫ m, we immediately arrive at Eq. (10).
16. The original paper of Langevin on the theory of Brownian motion was published in English translation by D. S. Lemons and A. Gythiel, Am. J. Phys. 65, 1079-1081 (1997).
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21. The author's URL is http//www.tn.utwente.nl/top/index_bft.html
22. The physical meaning of the Wiener-Khintchine theorem is clearly illustrated in the physical description of Fourier transform spectroscopy. See S. G. Lipson, H. Lipson, and P. S. Tannhauser, Optical Physics (Cambridge U.P., Cambridge, MA, 1995), 3rd ed., pp. 303-311.
23. Ref. 15, pp. 560-594. See also Ref. 17, pp. 56-594.
24. 2cursive Greek chĩ.
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