Traffic congestion formation on roadways s modeled by recognition of the centrality of dynamical systems and by using concepts from complexity theory as imbedded in the spin glass analogue. It also explores the concept of how an increase in air pollution caused by vehicle exhaust emission can be traced to traffic congestion, specifically to the acceleration/deceleration of vehicles on the road. Spin glass is first introduced and then by applying the 2-D x-y Ising model and defining a Hamiltonian for a system of vehicles on the road, derivations are made of the specific friction of congestion and the bulk modulus of congestion using the Gibbs-Boltzmann statistic. Similarly, using the interactions of vehicles with each other and the resulting accelerations and decelerations of vehicles as the basis for exhaust emissions, derivations are made of a specificity of exhaust emissions. These are analogs to the entropy models of thermodynamics. This series of derivations serves as an analytical model for detecting incidents of congestion and increase in air pollution due to exhaust emissions in transportation systems.
Abstract