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| author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2018-10-21 20:09:52 -0400 |
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| committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2018-10-21 20:09:52 -0400 |
| commit | 82e10672cdb1605e0b6dd601886c9e7a4f3d547e (patch) | |
| tree | 2fcc5416c57b30eb3c7be6ec8e1b9fc0fa4d9001 /monte-carlo.tex | |
| parent | 33dc795e1c386463b26d3ed1f3e5110d9faca9eb (diff) | |
| download | PRE_98_063306-82e10672cdb1605e0b6dd601886c9e7a4f3d547e.tar.gz PRE_98_063306-82e10672cdb1605e0b6dd601886c9e7a4f3d547e.tar.bz2 PRE_98_063306-82e10672cdb1605e0b6dd601886c9e7a4f3d547e.zip | |
clarified improved estimators for o(n) models
Diffstat (limited to 'monte-carlo.tex')
| -rw-r--r-- | monte-carlo.tex | 4 |
1 files changed, 3 insertions, 1 deletions
diff --git a/monte-carlo.tex b/monte-carlo.tex index 3d6ed8e..f5ff8e7 100644 --- a/monte-carlo.tex +++ b/monte-carlo.tex @@ -425,7 +425,9 @@ are preserved, including correlators with the ghost site exists, we expect this representation to extend it to finite field, all other features of the algorithm held constant. For instance, the average cluster size in the Wolff algorithm is often said to be an estimator for the magnetic -susceptibility in the Ising, Potts, and $\mathrm O(n)$ models, but really what +susceptibility in the Ising, Potts, and (with clusters weighted by the +components of their spins along the reflection direction +\cite{hasenbusch_improved_1990}) $\mathrm O(n)$ models, but really what it estimates is the averaged squared magnetization, which corresponds to the susceptibility when the average magnetization is zero. At finite field the latter thing is no longer true, but the correspondence between cluster size |