Microcanonical ensemble

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Microcanonical ensemble

Ensemble variables[edit]

(One component system, 3-dimensional system, ... ):

  •  \left. N \right. : number of particles
  •  \left. V \right. : is the volume

Partition function[edit]

 Q_{NVE} = \frac{1}{h^{3N} N!} \iint d  (p)^{3N} d(q)^{3N} \delta ( H(p,q) - E).

where:

  •  \left( q \right)^{3N} represents the 3N Cartesian position coordinates.
  •  \left( p \right)^{3N} represents the 3N momenta.
  •  H \left(p,q\right) represents the Hamiltonian, i.e. the total energy of the system as a function of coordinates and momenta.

Thermodynamics[edit]

 \left. S = k_B \log Q_{NVE} \right.

where:

References[edit]

Related reading