Statistical weight of macrostate¶
If a physical system can be described as having several states which can be occupied by different numbers of particles but with the total number of particles being conserved and a condition that all allowed microstates of the closed system are equiprobable, the formula for the statistical weight of the system can be found in combinatorics.
Notes:
Law can also be represented in form \(W = \frac{N!}{\prod_i (N_i!)}\) (
W = factorial(N) / Product(factorial(N_i), i))
Links:
- statistical_weight¶
Statistical weight of the system’s macrostate.
- Symbol:
W
- particle_count_in_state¶
Number of particles in state \(i\).
- Symbol:
N_i- Latex:
\(N_i\)
- law¶
W = factorial(Sum(N_i, i)) / Product(factorial(N_i), i)- Latex:
- \[W = \frac{(\sum_i N_i)!}{\prod_i (N_i!)}\]