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reduced_distribution_function [2013/11/05 19:02] nikolaj |
reduced_distribution_function [2014/03/21 11:11] (current) |
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| ===== Reduced distribution function === | ===== Reduced distribution function === | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $ \rho $ ... Classical probability density function | | + | | @#55CCEE: context | @#55CCEE: $ \rho $ ... Classical probability density function | |
| - | | @#DDDDDD: $ N \equiv \mathrm{dim}(\mathcal M) $ | | + | | @#DDDDDD: range | @#DDDDDD: $ N \equiv \mathrm{dim}(\mathcal M) $ | |
| | $s < N$ | | | $s < N$ | | ||
| - | | @#FFBB00: $f_s(q^1,p_1,q^2,p_2,\dots,q^s,p_s):=\int\ \rho\ \ \mathrm d q^{s+1} \mathrm d p_{s+1}\cdots \mathrm d q^N \mathrm d p_N$ | | + | | @#FFBB00: definiendum | @#FFBB00: $\bar f_s(q^1,p_1,q^2,p_2,\dots,q^s,p_s):=\int\ \rho\ \ \mathrm d q^{s+1} \mathrm d p_{s+1}\cdots \mathrm d q^N \mathrm d p_N$ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
| We also set $f_N:=\rho$, but that's just introduction of different notation. | We also set $f_N:=\rho$, but that's just introduction of different notation. | ||
| - | |||
| - | Relevant for discussions of kinetics on the intermediate level $f_1$ and $f_2$. And maybe $f_3$ if you're mad enough. | ||
| ==== Parents ==== | ==== Parents ==== | ||
| - | === Requirements === | + | === Context === |
| [[Classical probability density function]] | [[Classical probability density function]] | ||
