  To describe the nonequilibrium states of the system, a new thermodynamic
parameter - system lifetime - is introduced. Statistical distributions that
describe the behavior of energy and lifetime are recorded. Entropy and obtained
thermodynamic relations are compared with the results of Extended Irreversible
thermodynamics, where as an additional parameter selected fluxes. For the case
of thermal conductivity explicit expressions are obtained for average lifetime
and conjugate thermodynamic quantity. It is shown that near the equilibrium
state, when is only one stationary nonequilibrium state, flows can only reduce
the average system lifetime. But there are possibilities to increase the
average lifetime of the system.
