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We have proposed a novel way to specify the initial conditions of adissipative fluid dynamical model for a given energy density$\varepsilon=u_{\mu}T^{\mu\nu}u_{\nu}$ and baryon number density$n=N^{\mu}u_{\mu}$, which does not impose the so-called Landau matchingcondition for an off-equilibrium state. In addition to usual two parameters forequilibrium part, i.e., $\alpha\equiv \mu/T$, $\beta\equiv1/T$ (where $T$ isseparation temperature and $\mu$ is separation chemical potential introduced toseparate equilibrium part from the off-equilibrium state), a dissipativestrength $\gamma$ is newly introduced to specify the off-equilibrium state.These $\alpha$, $\beta$ and $\gamma$ can be uniquely determined by$\varepsilon$, $n$ and $P_{\rmeq}(\alpha,\beta)+\Pi=-1/3\Delta_{\mu\nu}T^{\mu\nu}$ consisting of both kinetictheoretical definitions and the thermodynamical stability condition. For$\gamma <10^{-3}$, $T$ and $\mu$ are almost independent of $\gamma$, whichmeans that the Landau matching condition is approximately satisfied. However,this is not the case for $\gamma \gtrsim 10^{-3}$.

Separation of equilibrium part from an off-equilibrium state produced by relativistic heavy ion collisions using a scalar dissipative strength