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author
hackbard
<hackbard>
Fri, 23 May 2003 17:33:33 +0000
(17:33 +0000)
committer
hackbard
<hackbard>
Fri, 23 May 2003 17:33:33 +0000
(17:33 +0000)
ising/ising_slides.tex
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diff --git
a/ising/ising_slides.tex
b/ising/ising_slides.tex
index
a52fed7
..
3e47903
100644
(file)
--- a/
ising/ising_slides.tex
+++ b/
ising/ising_slides.tex
@@
-305,7
+305,7
@@
F"ur den Fall $B_0 = 0$ gilt:
\[
\begin{array}{l}
\displaystyle \lambda_{\pm} = e^K \pm e^{-K} \\[2mm]
\[
\begin{array}{l}
\displaystyle \lambda_{\pm} = e^K \pm e^{-K} \\[2mm]
- \displaystyle Z = 2^N \cosh^N (K) + 2^N \sinh^N (K)
= 2^N \cosh^N (K) (1 + \tanh^N (K))
\stackrel{N >> 1}{\longrightarrow} 2^N \cosh^N (K) \\[2mm]
+ \displaystyle Z = 2^N \cosh^N (K) + 2^N \sinh^N (K) \stackrel{N >> 1}{\longrightarrow} 2^N \cosh^N (K) \\[2mm]
\displaystyle F = -k_B T \, \textrm{ln} \, Z \stackrel{N >> 1}{\longrightarrow} -N k_B T \, \textrm{ln} \, (2 \cosh (\beta J))
\end{array}
\]
\displaystyle F = -k_B T \, \textrm{ln} \, Z \stackrel{N >> 1}{\longrightarrow} -N k_B T \, \textrm{ln} \, (2 \cosh (\beta J))
\end{array}
\]