Traffic model with an absorbing-state phase transition
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Universidade Federal de Minas Gerais
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Artigo de periódico
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We consider a modified Nagel-Schreckenberg (NS) model in which drivers do not decelerate if their speed is smaller than the headway (number of empty sites to the car ahead). (In the original NS model, such a reduction in speed occurs with probability p, independent of the headway, as long as the current speed is greater than zero.) In the modified model the free-flow state (with all vehicles traveling at the maximum speed, vmax) is absorbing for densities ρ smaller than a critical value ρc = 1/(vmax + 2). The phase diagram in the ρ-p plane is reentrant:
for densities in the range ρc,< < ρ < ρc, both small and large values of p favor free flow, while for intermediatevalues, a nonzero fraction of vehicles have speeds <vmax. In addition to representing a more realistic description of driving behavior, this change leads to a better understanding of the phase transition in the original model. Ourresults suggest an unexpected connection between traffic models and stochastic sandpiles.
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Transições de fases, Fenômenos críticos, Física estatística
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Traffic models, Transições de fase, Pilhas de areia, Stochastic processes
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https://journals.aps.org/pre/abstract/10.1103/PhysRevE.95.022106