Dispersion of Kinetic Energy for Traffic Safety

O4: Theoretical and Practical Basics for Successful Traffic Safety Work

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Traffic Dispersion for Bursty Traffic on Heterogenous Networks

Leading-Order Nonlocal Kinetic Energy in Peridynamics for Consistent Energetics and Wave Dispersion

This paper first considers the approximation of peridynamics by strain-gradient models in the linear, one-dimensional setting. Strain-gradient expansions that approximate the peridynamic dispersion relation using Taylor series are compared to strain-gradient models that approximate the peridynamic elastic energy. The dynamic and energetic expansions differ from each other, and neither captures ...

Kinetic Theory of Traffic Flows

We describe traffic flows in one lane roadways using kinetic theory, with special emphasis on the role of quenched randomness in the velocity distributions. When passing is forbidden, growing clusters are formed behind slow cars and the cluster velocity distribution is governed by an exact Boltzmann equation which is linear and has an infinite memory. The distributions of the cluster size and t...

Enskog-like Kinetic Models for Vehicular Traffic

In the present paper a general critisicsm of kinetic equations for vehicular traac is given. The necessity of introducing an Enskog-type correction into these equations is shown. An Enskog-like kinetic traac ow equation is presented and uid dynamic equations are derived. This derivation yields new coeecients for the standard uid dynamic equations of vehicular traac. Numerical simulations for in...