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We present a new microscopic model of granular medium to study the role ofdynamical correlations and the onset of spatial order induced by theinelasticity of the interactions. In spite of its simplicity, it featuresseveral different aspects of the rich phenomenology observed in granularmaterials and allows to make contact with other topics of statistical mechanicssuch as diffusion processes, domain growth, persistence, aging phenomena.Interestingly, while local observables being controlled by the largestwavelength fluctuations seem to suggest a purely diffusive behavior, theformation of spatially extended structures and topological defects, such asvortices and shocks, reveals a more complex scenario.Comment: 4 pages, 4 figure

Cooling of a lattice granular fluid as an ordering process