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.
"Trust me. I have a lot of experience at this."
General Custer's unremembered message to his men,
just before leading them into the Little Big Horn Valley