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I study the critical behavior of a traffic model with an absorbing state. Themodel is a variant of the Nagel-Schreckenberg (NS) model, in which drivers donot decelerate if their speed is smaller than their headway, the number ofempty sites between them and the car ahead. This makes the free-flow state(i.e., all vehicles traveling at the maximum speed, v_{max}, and with allheadways greater than v_{max}) {\it absorbing}; such states are possible forfor densities rho smaller than a critical value rho_c = 1/(v_{max} + 2).Drivers with nonzero velocity, and with headway equal to velocity, deceleratewith probability p. This {\it absorbing Nagel-Schreckenberg} (ANS) model,introduced in [Phys. Rev. E {\bf 95}, 022106 (2017)], exhibits a line ofcontinuous absorbing-state phase transitions in the rho-p plane. Here I studythe propagation of activity from a localized seed, and find that the activecluster is compact, as is the active region at long times, starting fromuniformly distributed activity. The critical exponents delta (governing thedecay of the survival probability) and eta (governing the growth of activity){\it vary continuously} along the critical line. The exponents satisfy ahyperscaling relation associated with compact growth.

Continuously variable spreading exponents in the absorbing Nagel-Schreckenberg model