Super-Poissonian Statistics In Traffic Flow

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Super-Poissonian Statistics In Traffic Flow

Popis výsledku v původním jazyce

We utilize number variance, a statistical tool originating from Random Matrix Theory, to investigate the nature and level of correlation among vehicles in real road two-lane traffic data. We show that while for both fast and slow lane the number variance is non-Poissonian, indicating a strong correlation between vehicles, the nature of the correlation itself differs lane by lane considerably. For the slow lane, the number variance exhibits a sub-Poissonian behaviour, similar to a short-ranged Dyson gas, and follows the predictions of Random Matrix Theory. For the fast lane, however, the number variance enters for certain densities a super-Poissonian regime, indicating that the system can’t be described by a short-ranged repulsive interaction only. We further show that the systems behaviour can be explained by a so called “vehicle bunching” effect, which is a result of lane-change behaviour originating in the slow lane, and which has remarkable similarities to an effect observed in thermal light photon counting experiments in quantum optics.

Název v anglickém jazyce

Super-Poissonian Statistics In Traffic Flow

Popis výsledku anglicky

We utilize number variance, a statistical tool originating from Random Matrix Theory, to investigate the nature and level of correlation among vehicles in real road two-lane traffic data. We show that while for both fast and slow lane the number variance is non-Poissonian, indicating a strong correlation between vehicles, the nature of the correlation itself differs lane by lane considerably. For the slow lane, the number variance exhibits a sub-Poissonian behaviour, similar to a short-ranged Dyson gas, and follows the predictions of Random Matrix Theory. For the fast lane, however, the number variance enters for certain densities a super-Poissonian regime, indicating that the system can’t be described by a short-ranged repulsive interaction only. We further show that the systems behaviour can be explained by a so called “vehicle bunching” effect, which is a result of lane-change behaviour originating in the slow lane, and which has remarkable similarities to an effect observed in thermal light photon counting experiments in quantum optics.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

19th Conference on Applied Mathematics Aplimat 2020 proceedings

ISBN

978-80-227-4983-1

ISSN

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e-ISSN

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Počet stran výsledku

12

Strana od-do

930-941

Název nakladatele

Slovak University of Technology

Místo vydání

Bratislava

Místo konání akce

Bratislava

Datum konání akce

4. 2. 2020

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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