Canonical partition function of a classical discrete system¶
Let us assume a canonical ensemble, i.e. a thermodynamically large system that is in thermal contact with the environment, with a temperature T and whose volume and number of constituent particles remain constant. For a classical discrete system the partition function is the sum of the Boltzmann factors of all the possible energy states:
Links:
- partition_function¶
partition_functionof the system.- Symbol:
Z- Latex:
\(Z\)
- Dimension:
dimensionless
- boltzmann_factor¶
boltzmann_factorof energy state \(i\). See Boltzmann factor.- Symbol:
f[i]- Latex:
\({f}_{i}\)
- Dimension:
dimensionless
- law¶
Z = Sum(f[i], i)- Latex:
- \[Z = \sum_i {f}_{i}\]