acceleration correction prevents flow convection and keep the density in the mid-rapidity region. The effects cancel at the first-order in the limit of vanishing chemical potential as seen in (\[eq:thermoforce\]). The off-equilibrium deformation of the net baryon distribution in the Eckart frame can be mainly caused by the deceleration of flow as seen in Fig. \[fig:2\] near mid-rapidity. The off-equilibrium evolutions of the net baryon distribution in the Landau frame and in the Eckart frame are quantitatively similar to each other. This can be a consequence of the fact that the frame-dependence of the thermodynamic quantities are of second order.

The difference between the flow rapidity $Y_f$ and the space-time rapidity $\eta_s$ (Fig. \[fig:2\]) implies that the Landau flow is closer to the ideal flow than the Eckart flow. Here the flow rapidity is defined as $$\begin{aligned}
u^\mu = (\cosh Y_f,0,0,\sinh Y_f),\end{aligned}$$ which reduces to the boost-invariant flow when $Y_f - \eta_s = 0$. The flow is affected more in the Eckart frame possibly because the energy dissipation is directly coupled to the equation of motion for flow acceleration (\[eq:emcperp\]). At forward space-time rapidity $|\eta_s| > 1.5$, the Eckart flow is faster then the Landau flow because of the peak 