  In this article a correspondence has been established between the out of
equilibrium system dissipation and the thermodynamic field redefinition of the
macroscopic variables through the momentum dependent relaxation time
approximation (MDRTA) solution of relativistic transport equation. Here, it has
been shown that the out of equilibrium thermodynamic fields are not uniquely
defined and are subjected to include dissipative effects from the medium. A
second order relativistic hydrodynamic theory has been developed including such
dissipative effects. The necessary conditions for developing a hydrodynamic
theory has been fulfilled, (i) the thermodynamic identities incorporating such
redefined fields have been shown to conserve the energy-momentum tensor
perfectly under MDRTA, (ii) the non-negativity of entropy production remains
unaffected by the inclusion of such dissipative contributions in hydro fields
as long as the independent transport coefficients remain positive.
