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Re: [Phys-l] Glauber-Ising: Help!



Hi all-
Well, having written my piece, I sat down again and promptly derived Eq. 88 from Eq. 55. But I'm still not convinced that the two equations 94 are equal.
Regards,
Jack

On Mon, 26 Jan 2009, Jack Uretsky wrote:

Hi all-
There is a famous paper by Roy Glauber (Harvard), which showed how
to add dynamics to the Ising model which, as originally formulated,
considered only equilibrium thermodynamics: J. Math. Phys. 6 (1963) 204.
I have been working with a model, based on the paper, for the past several
months. I have just had occasion to check Eq, 88 of the paper, assertely
based upon Eq. 55, and I have concluded that the equation is wrong. Not
only that, I have convinced myself of the way that one could have easily
made the mistake that I think I found.
Furthermore, it seems to me that the second equation in Equations
94 does not follow from the first (the first equation is esentially Eq.
88). Eq. 94 leads directly to a known result for the equilibrium model,
so there may be compensating errors.
The paper has had hundreds, if not thousands, of citations, but I
can find no hint of a recognized error. The issue is just a matter of
high school algebra,
Anybody disagree with me? Or cast any light on the matter? Thsi
part of the paper deals with a side issue, so that the error, if I am
correct, does not detract from the main point of the paper which has given
rise to a ubiquitous cottage industry.
Regards,
Jack





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