The phase-field-crystal (PFC) approach extends the notion of phase-field models by describing the topology of the microscopic structure of a crystalline material. One of the consequences is that local variation of the interatomic distance creates an elastic excitation. The dynamics of these excitations poses a challenge: pure diffusive dynamics cannot describe relaxation of elastic stresses tha...

Over the past decades, the fast growth in travel has increased traffic congestion, which in turn has increased vehicular emissions significantly. It is difficult to accurately estimate and quantify emissions with current practice because of its reliance on transportation planning models that are based on steady state hourly averages and thus are incapable of capturing the effects of traffic var...

We consider two discrete completely integrable evolutions: the Toda Lattice and Ablowitz–Ladik system. The principal thrust of paper is development microscopic conservation laws that witness perturbation determinant under these dynamics. In this way, we obtain analogues objects found essential in our recent analyses KdV, NLS, mKdV. concert with this, revisit classical topic attendant to (renorm...

In this paper we integrate the macroscopic traffic flow model METANET with the microscopic dynamic emission and fuel consumption model VT-Micro. We use the integrated models in the model predictive control (MPC) framework to reduce exhaust emissions, fuel consumption, and travel time using dynamic speed limit control. With simulation experiments we demonstrate the countereffects and conflicting...

We report numerical evidence of Hawking emission of Bogoliubov phonons from a sonic horizon in a flowing one-dimensional atomic Bose-Einstein condensate. The presence of Hawking radiation is revealed from peculiar long-range patterns in the density-density correlation function of the gas. Quantitative agreement between our fully microscopic calculations and the prediction of analog models is ob...