Use properties of the Brownian motion to show that WK-1+p)at – W&-1)at) (Wkat – Wa-1+p)at) 4 atvp(1 – p)Z4Z¢ W(k-1+p)at) At V p(1 – p)Z¼Z¢ (6.61) Wik-1)a1) (Wad WKAt vhere Z and Z† each have a standard normal distribution and Z nd Z are independent random variables. (Note that the symbol means “has the same distribution as.") Use this and the law of = 0. arge numbers to argue that limn→∞ Bn

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter8: Electrochemistry And Ionic Solutions
Section: Chapter Questions
Problem 8.75E: Under what conditions does the extended Debye-Huckel law, equation 8.52, become the Debye-Hckel...
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Use properties of the Brownian motion to show that
At / p(1 – p)Z¢Z#
(6.61)
where Z and Z each have a standard normal distribution and Zp
and Z are independent random variables. (Note that the symbol
W(k-1+p)At – W{x-1)a!) (Wkat
W(k-1+p)At
d
- means "has the same distribution as.") Use this and the law of
large numbers to argue that lim,→00 Bn
0.
Transcribed Image Text:Use properties of the Brownian motion to show that At / p(1 – p)Z¢Z# (6.61) where Z and Z each have a standard normal distribution and Zp and Z are independent random variables. (Note that the symbol W(k-1+p)At – W{x-1)a!) (Wkat W(k-1+p)At d - means "has the same distribution as.") Use this and the law of large numbers to argue that lim,→00 Bn 0.
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ISBN:
9781133958437
Author:
Ball, David W. (david Warren), BAER, Tomas
Publisher:
Wadsworth Cengage Learning,