Cosmic rays and particles of negative mass
Yakov P. Terletsky (1964)
Annales de l'I.H.P. Physique théorique
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Yakov P. Terletsky (1964)
Annales de l'I.H.P. Physique théorique
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Dolan, P., Zenios, A.C. (1984)
International Journal of Mathematics and Mathematical Sciences
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Márton Balázs, Miklós Z. Rácz, Bálint Tóth (2014)
Annales de l'I.H.P. Probabilités et statistiques
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We introduce and investigate a new model of a finite number of particles jumping forward on the real line. The jump lengths are independent of everything, but the jump rate of each particle depends on the relative position of the particle compared to the center of mass of the system. The rates are higher for those left behind, and lower for those ahead of the center of mass, providing an attractive interaction keeping the particles together. We prove that in the fluid limit, as the number...
Mario Pulvirenti (1999)
Journées équations aux dérivées partielles
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In this lecture i present some open mathematical problems concerning some PDE arising in the study of one-dimensional models for granular media.
P. A. Ferrari, C. Kipnis (1995)
Annales de l'I.H.P. Probabilités et statistiques
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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...