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The existing equilibrium statistical physics is based on application ofstandard quasiadditive integrals of motion, which include energy, momentum,rotation momentum, and number of particles. It is shown that this list is farfrom complete and that any quasiadditive dynamic variable can be mapped tocorresponding quasiadditive integral of motion. As a result an ensemble with agiven external pressure is constructed. It provides the first example of thedistribution in which phonon populations depend on pressure differently than inthe canonical Gibbs ensemble.

Non-standard quasiadditive integrals of motion and pressure dependence of phonon populations