{"title":"Stay in your lane: Density fluctuations in multi-lane traffic","authors":"Jeremy Worsfold, Tim Rogers","doi":"10.1209/0295-5075/ad1c05","DOIUrl":null,"url":null,"abstract":"<jats:title>Abstract</jats:title> When a new vehicle joins a lane, those behind may have to temporarily slow to accommodate them. &#xD;Changing lane can be forced due to lane drops or junctions, but may also take place spontaneously at discretion of drivers, and recent studies have found that traffic jams and traffic oscillations can form even without such bottlenecks.&#xD;Understanding how lane changing behaviour affects traffic flow is important for learning how to design roads and control traffic more effectively.&#xD;Here, we present a stochastic model of spontaneous lane changing which exhibits a reduction in the overall flow of traffic. &#xD;By examining the average flow rate both analytically and through simulations we find a definitive slow down of vehicles due to random switching between lanes. &#xD;This results in the fundamental diagram depending on the rate of lane switching.&#xD;By extending the model to three lane traffic we find a larger impact on the flow of the middle lane compared to the side lanes.","PeriodicalId":11738,"journal":{"name":"EPL","volume":"10 1","pages":""},"PeriodicalIF":1.8000,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"EPL","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1209/0295-5075/ad1c05","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract When a new vehicle joins a lane, those behind may have to temporarily slow to accommodate them. 
Changing lane can be forced due to lane drops or junctions, but may also take place spontaneously at discretion of drivers, and recent studies have found that traffic jams and traffic oscillations can form even without such bottlenecks.
Understanding how lane changing behaviour affects traffic flow is important for learning how to design roads and control traffic more effectively.
Here, we present a stochastic model of spontaneous lane changing which exhibits a reduction in the overall flow of traffic. 
By examining the average flow rate both analytically and through simulations we find a definitive slow down of vehicles due to random switching between lanes. 
This results in the fundamental diagram depending on the rate of lane switching.
By extending the model to three lane traffic we find a larger impact on the flow of the middle lane compared to the side lanes.
期刊介绍：
General physics – physics of elementary particles and fields – nuclear physics – atomic, molecular and optical physics – classical areas of phenomenology – physics of gases, plasmas and electrical discharges – condensed matter – cross-disciplinary physics and related areas of science and technology.
Letters submitted to EPL should contain new results, ideas, concepts, experimental methods, theoretical treatments, including those with application potential and be of broad interest and importance to one or several sections of the physics community. The presentation should satisfy the specialist, yet remain understandable to the researchers in other fields through a suitable, clearly written introduction and conclusion (if appropriate).
EPL also publishes Comments on Letters previously published in the Journal.
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