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We investigate the dynamical transition from free-flow to jammed traffic,which is related to the divergence of the relaxation time and susceptibility ofthe energy dissipation rate $E_d$, in the Nagel-Schreckenberg (NS) model withtwo different initial configurations. Different initial configurations giverise to distinct phase transition. We argue that the phase transition of thedeterministic NS model with megajam and random initial configuration is first-and second-order phase transition, respectively. The energy dissipation rate$E_d$ and relaxation time follow power-law behavior in some cases. Theassociated dynamic exponents have also been presented.

Phase transition behavior in a cellular automaton model with different initial configurations