X-Git-Url: https://hackdaworld.org/gitweb/?p=lectures%2Flatex.git;a=blobdiff_plain;f=ising%2Fising_slides.tex;fp=ising%2Fising_slides.tex;h=3e479034f448fbdc73a90b57eb69fc0b9a66d791;hp=a52fed78fa4cb851375c94eec57b39e2f9ff9faa;hb=412609181d837b8024ebeee8d5b2b52f0506a758;hpb=68c63b155821d71e6b470719efae7b8d99bce6f7 diff --git a/ising/ising_slides.tex b/ising/ising_slides.tex index a52fed7..3e47903 100644 --- a/ising/ising_slides.tex +++ b/ising/ising_slides.tex @@ -305,7 +305,7 @@ F"ur den Fall $B_0 = 0$ gilt: \[ \begin{array}{l} \displaystyle \lambda_{\pm} = e^K \pm e^{-K} \\[2mm] - \displaystyle Z = 2^N \cosh^N (K) + 2^N \sinh^N (K) = 2^N \cosh^N (K) (1 + \tanh^N (K)) \stackrel{N >> 1}{\longrightarrow} 2^N \cosh^N (K) \\[2mm] + \displaystyle Z = 2^N \cosh^N (K) + 2^N \sinh^N (K) \stackrel{N >> 1}{\longrightarrow} 2^N \cosh^N (K) \\[2mm] \displaystyle F = -k_B T \, \textrm{ln} \, Z \stackrel{N >> 1}{\longrightarrow} -N k_B T \, \textrm{ln} \, (2 \cosh (\beta J)) \end{array} \]