Field-theoretical approach to classical statistical mechanics

The unified approach to the microcanonical and canonical ensembles of the classical statistical mechanics is formulated. It is shown that the value of the phase space available volume is bound with the canonical statistical sum through the integral transformation by the imaginary temperature. The thermodynamic equivalence of the two-particle interatomic interactions and random external fields is proved. The equivalence of the classical statistical mechanics and the theory of the linear (self-acting) field, the hamiltonian whereof depends on the temperature, is established