Canonical ensemble

From SklogWiki
Jump to navigation Jump to search
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.

Variables:

  • Number of Particles,
  • Volume,

Partition Function

The partition function, , for a system of identical particles each of mass is given by

where is Planck's constant, is the temperature, is the Boltzmann constant and is the Hamiltonian corresponding to the total energy of the system. For a classical one-component system in a three-dimensional space, , is given by:

where:

  • is the potential energy, which depends on the coordinates of the particles (and on the interaction model)
  • represent the 3N position coordinates of the particles (reduced with the system size): i.e.

See also

References