  The supersymmetry self-consistent approximation for the model of
non-equilibrium thermodynamic system with quenched disorder is derived from the
dynamical action calculated by means of generalized second Legendre
transformation. The equations for adiabatic and isothermal susceptibilities,
memory and field induced parameters are obtained on the basis of asymptotic
analysis of dynamical Dyson equations. It is shown that the marginal stability
condition that defines the critical point is governed by fluctuations violating
FDT. The temperature of ergodicity breaking transition is calculated as a
function of quenched disorder intensities. Transformation of superfields
related to the mapping between an instanton process and the corresponding
causal solution is discussed.
