We consider the discrete Couzin-Vicsek algorithm (CVA) [1, 9, 19, 36], which describes the interactions of individuals among animal societies such as fish schools. In this article, we propose aâ€¦ (More)

This paper presents how a non-commutative version of the entropy extremalization principle allows to construct new quantum hydrodynamic models. Our starting point is the moment method, which consistsâ€¦ (More)

We show that Quantum Energy-Transport and Quantum Drift-Diffusion models can be derived through diffusion limits of a collisional Wigner equation. The collision operator relaxes to an equilibriumâ€¦ (More)

We consider a supply chain consisting of a sequence of buffer queues and processors with certain throughput times and capacities. Based on a simple rule for releasing parts, i.e., batches of productâ€¦ (More)

While walking through a crowd, a pedestrian experiences a large number of interactions with his neighbors. The nature of these interactions is varied, and it has been observed that macroscopicâ€¦ (More)

In this note, we generalize the Boltzmann collision operator modeling binary particle particle collisions to a quantum framework using non local quantum entropy principles. Une note sur lesâ€¦ (More)

This paper considers a new model of individual displacement, based on fish motion, the so-called Persistent Turning Walker (PTW) model, which involves an Ornstein-Uhlenbeck process on the curvatureâ€¦ (More)

Abstract. The present paper introduces an efficient and accurate numerical scheme for the solution of a highly anisotropic elliptic equation, the anisotropy direction being given by a variable vectorâ€¦ (More)

This paper rst reviews some basic facts about electron transport in semiconductor materials. Then, it develops several macroscopic models from the diiusion approximation of the semiconductorâ€¦ (More)