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symmetrized_reduced_distribution_function [2013/11/06 19:13] nikolaj old revision restored (2013/11/05 19:02) |
symmetrized_reduced_distribution_function [2013/11/06 19:21] nikolaj |
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| | @#88DDEE: $ \bar f_s $ ... Reduced distribution function | | | @#88DDEE: $ \bar f_s $ ... Reduced distribution function | | ||
| - | | @#FFBB00: $f_s(q^1,p_1,q^2,p_2,\dots,q^s,p_s):=\frac{1}{s!}\sum_\pi \bar f_s$ | | + | | @#FFBB00: $f_s:=\frac{1}{s!}\sum_\pi \bar f_s$ | |
| where $\sum_\pi$ is the sum over argument-permutations, e.g. | where $\sum_\pi$ is the sum over argument-permutations, e.g. | ||
| - | $\sum_\pi g(a,b,c)=g(a,b,c)+g(c,a,b)+g(b,c,a)+g(a,c,b)+g(b,a,c)+g(c,b,a)$. | + | $\sum_\pi\ g(a,b,c)\equiv g(a,b,c)+g(c,a,b)+g(b,c,a)+g(a,c,b)+g(b,a,c)+g(c,b,a)$. |
| ==== Discussion ==== | ==== Discussion ==== | ||
| + | Relevant for discussions of kinetics on the intermediate level $f_1$ and $f_2$. And maybe $f_3$ if you're mad enough. | ||
| + | |||
| + | Notice that if $\bar f_s$ is already a symmetric function, $f_s=\bar f_s$. | ||
| ==== Parents ==== | ==== Parents ==== | ||
| === Requirements === | === Requirements === | ||
| [[Reduced distribution function]] | [[Reduced distribution function]] | ||
