Continuously variable spreading exponents in the absorbing Nagel-Schreckenberg model

Ronald Dickman

Please use this identifier to cite or link to this item: http://hdl.handle.net/1843/37023

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DC Field	Value	Language
dc.creator	Ronald Dickman	pt_BR
dc.date.accessioned	2021-07-27T17:54:37Z	-
dc.date.available	2021-07-27T17:54:37Z	-
dc.date.issued	2018	-
dc.citation.volume	2018	pt_BR
dc.citation.issue	9	pt_BR
dc.citation.spage	093102	pt_BR
dc.identifier.doi	https://doi.org/10.1088/1742-5468/aaddb2	pt_BR
dc.identifier.issn	1742-5468	pt_BR
dc.identifier.uri	http://hdl.handle.net/1843/37023	-
dc.description.resumo	I study the critical behavior of a traffic model with an absorbing state. The model is a variant of the Nagel–Schreckenberg (NS) model, in which drivers do not decelerate if their speed is smaller than their headway, the number of empty sites between them and the car ahead. This makes the free-flow state (i.e. all vehicles traveling at the maximum speed, vmax, and with all headways greater than vmax) absorbing; such states are possible for densities ρ smaller than a critical value . Drivers with nonzero velocity, and with headway equal to velocity, decelerate with probability p. This absorbing Nagel–Schreckenberg (ANS) model, introduced in Iannini and Dickman (2017 Phys. Rev. E 95 022106), exhibits a line of continuous absorbing-state phase transitions in the ρ-p plane. Here I study the propagation of activity from a localized seed, and find that the active cluster is compact, as is the active region at long times, starting from uniformly distributed activity. The critical exponents δ (governing the decay of the survival probability) and η (governing the growth of activity) vary continuously along the critical curve. The exponents satisfy a hyperscaling relation associated with compact growth.	pt_BR
dc.description.sponsorship	CNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico	pt_BR
dc.language	eng	pt_BR
dc.publisher	Universidade Federal de Minas Gerais	pt_BR
dc.publisher.country	Brasil	pt_BR
dc.publisher.department	ICX - DEPARTAMENTO DE FÍSICA	pt_BR
dc.publisher.initials	UFMG	pt_BR
dc.relation.ispartof	Journal of statistical mechanics: theory and experiment	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.subject	Critical phenomena	pt_BR
dc.subject	Phase transitions	pt_BR
dc.subject.other	Fenômenos críticos	pt_BR
dc.subject.other	Transições de fases	pt_BR
dc.title	Continuously variable spreading exponents in the absorbing Nagel-Schreckenberg model	pt_BR
dc.type	Artigo de Periódico	pt_BR
dc.url.externa	https://iopscience.iop.org/article/10.1088/1742-5468/aaddb2/meta	pt_BR
Appears in Collections:	Artigo de Periódico

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