Editing Grand canonical Monte Carlo
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f_L({\mathbf r}_1,{\mathbf r}_2 ..., {\mathbf r}_N) = \Lambda^{-3N} e^{\beta \mu N} e^{-\beta U_N}</math> | f_L({\mathbf r}_1,{\mathbf r}_2 ..., {\mathbf r}_N) = \Lambda^{-3N} e^{\beta \mu N} e^{-\beta U_N}</math> | ||
where the <math>U</math> subindex stands for ''unlabelled'', the coordinates in | where the <math>U</math> subindex stands for ''unlabelled'', the coordinates in parentheis indicate that the positions are not atributted to any particular choice of labelling and the sum runs over all posible particle label permutations. | ||
Upon trial insertion of an extra particle, one obtains: | Upon trial insertion of an extra particle, one obtains: |