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Determining the complexity of multi-component conformal systems: A platoon-based approach

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Date
2017-04
Author
Koşun, Çağlar
Özdemir, Serhan
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Abstract
Many systems in nature and engineering are composed of subsystems. These subsystems may be formed in a linear, planar or spatial array. A typical example of these formations is a chain of vehicles known as platoon formation in traffic flow. Platoon formation of vehicles is a linear or planar formation of vehicles where a certain and a constant headway, and sideway if applicable, is provided in between every and each one of them. It is argued in this paper that a well-automated platoon formation of vehicles is an extreme case of conformity. During this transformation from a many degrees of freedom formation to a solid object, Tsallis q value is computed to be ranging from one extreme case of q=3 to the other where q=1, when classified in terms of inverse temperatures of clearance fluctuations. At one extreme of q=3, one observes unbounded fluctuations in clearance fluctuations so that inverse temperature distributions approach a Dirac delta at the origin. At the other extreme of q=1, fluctuations in clearance tend to zero asymptotically, where a solid structure of agents (vehicles) emerges. The transition from q=3 to q=1 is investigated through synthetic and experimental clearance fluctuations between the cars. The results show that during the transition from q=3 to q=1, the platoon loses its many degrees of freedom (dof) of motion until a solid single object emerges. Authors assert that the Tsallis q value of a platoon of vehicles is limited to 3>q<1.
URI
http://doi.org/10.1016/j.physa.2016.12.027
http://hdl.handle.net/11147/6379
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  • City and Regional Planning / Şehir ve Bölge Planlama [70]
  • Mechanical Engineering / Makina Mühendisliği [437]
  • Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection [3276]
  • WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection [2953]


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