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Citation bot (talk | contribs) Add: pmid, bibcode. | Use this bot. Report bugs. | Suggested by Dominic3203 | Category:NP-complete problems | #UCB_Category 150/181 |
Adamnemecek (talk | contribs) m added link to subshift of finite type |
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<math display="block">H(x)^4 = -\langle H(x)^2\rangle^2 + 2\langle H(x)^2\rangle H(x)^2 + \left(H(x)^2 - \langle H(x)^2\rangle\right)^2</math>
The first term is a constant contribution to the free energy, and can be ignored. The second term is a [[Subshift of finite type|finite shift]] in ''t''. The third term is a quantity that scales to zero at long distances. This means that when analyzing the scaling of ''t'' by dimensional analysis, it is the shifted ''t'' that is important. This was historically very confusing, because the shift in ''t'' at any finite ''λ'' is finite, but near the transition ''t'' is very small. The fractional change in ''t'' is very large, and in units where ''t'' is fixed the shift looks infinite.
The magnetization is at the minimum of the free energy, and this is an analytic equation. In terms of the shifted ''t'',
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