Temperature Fluctuations for a Platoon of Vehicles in Contact with a Heat Bath

Traffic flow is often thought of as a highly stochastic multi degrees of freedom (DOF) event. Studies have shown that it has mesoscopic dynamics, and in fact rarely a Boltzmann-Gibssian type statistical mechanics. Instead, traffic flow should be handled within a nonadditive and possibly nonextensive statistical mechanics framework. A platoon formation is a well-organized collection of vehicles. The idea behind the platoon of vehicles is that the efficient use of the infrastructure may greatly be enhanced if there is an increase in the cooperation and organization. A well-controlled platoon of vehicles is a highly organized body of particles where the speed of the vehicles or intervehicle spacing is aimed to be held constant during the regular cruising conditions. It is claimed that a well-organized and controlled platoon of vehicles is in fact a system which is weakly coupled to a heat bath, forming the canonical ensemble. The authors propose that a platoon of vehicles at constant mean speed, even with fluctuations, be equivalent to a system with finite DOF weakly coupled to a much larger DOF reservoir whose temperature variance is a function of its DOF. An equivalent number of vehicles concept is devised as a function of the reciprocal of the temperature variance. It is shown that as long as the reservoir DOF is much larger than the platoon DOF, the finite reservoir may then safely be assumed as an infinite reservoir.


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  • Accession Number: 01696581
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Feb 14 2019 2:47PM