Displaying similar documents to “Modeling flocks and prices: Jumping particles with an attractive interaction”

Relativistic Aspects of Moving Charges Interaction based on Lienard-Wiechert Potentials

Cristian Toma (2016)

Waves, Wavelets and Fractals

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This study presents some basic aspects of electrostatic forces based on wave-particle interaction described by Lienard-Wiechert potentials. Using the scalar and vector potentials the force obtained for a certain point in space is analyzed. Dynamical aspects connected to mass dependence of velocity are obtained. Hypothetical possibilities corresponding to the case when velocity exceeds light speed are also presented.

Collision probabilities in the rarefaction fan of asymmetric exclusion processes

Pablo A. Ferrari, Patricia Gonçalves, James B. Martin (2009)

Annales de l'I.H.P. Probabilités et statistiques

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We consider the one-dimensional asymmetric simple exclusion process (ASEP) in which particles jump to the right at rate ∈(1/2, 1] and to the left at rate 1−, interacting by exclusion. In the initial state there is a finite region such that to the left of this region all sites are occupied and to the right of it all sites are empty. Under this initial state, the hydrodynamical limit of the process converges to the rarefaction fan of the associated Burgers equation. In particular suppose...