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Diffstat (limited to 'monte-carlo.tex')
| -rw-r--r-- | monte-carlo.tex | 10 |
1 files changed, 5 insertions, 5 deletions
diff --git a/monte-carlo.tex b/monte-carlo.tex index f5ff8e7..a0a26fc 100644 --- a/monte-carlo.tex +++ b/monte-carlo.tex @@ -187,7 +187,7 @@ redner_graphical_1998}. integer $k$ and $\theta(s)$ giving the angle of $s$ to some axis applied to the $\mathrm O(2)$ model \cite{jose_renormalization_1977}. All models listed here have example implementations in the provided \CXX\ library - \cite{kent-dobias_2018_wolff}. + \cite{kent-dobias_wolff_2018}. } \label{table:models} \end{table*} @@ -457,7 +457,7 @@ authors in an existing interactive Ising simulator at \url{https://mattbierbaum.github.io/ising.js} \cite{bierbaum_ising.js_2016}. -\subsection{The XY and other $\mathrm O(n)$ models} +\subsection{The $\mathrm O(n)$ models} \label{sec:examples:on} In the $\mathrm O(n)$ model spins are described by vectors on the @@ -618,9 +618,9 @@ of $hL^{\beta\delta/\nu}$. model-dependent. Colored lines and points depict values as measured by the extended algorithm. Solid black lines show a plot proportional to $h^{-z\nu/\beta\delta}$ for each model. The dynamic exponents $z$ are - roughly measured as \twodee Ising: 0.23(2), \threedee Ising: 0.28(2), - \twodee 3-State Potts: 0.55(1), \twodee 4-State Potts: 0.94(5), - \threedee O(2): 0.17(2), \threedee O(3): 0.13(2). $\mathrm O(n)$ models + roughly measured as \twodee Ising: 0.23(5), \threedee Ising: 0.28(5), + \twodee 3-State Potts: 0.55(5), \twodee 4-State Potts: 0.94(5), + \threedee O(2): 0.17(5), \threedee O(3): 0.13(5). $\mathrm O(n)$ models use the distribution of transformations described in Section \ref{sec:examples:on}. The curves stop collapsing at high fields when the correlation length falls to near the lattice spacing; here non-cluster |