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Asymptotic Solutions of the Nonlinear Boltzmann Equation for Dissipative Systems, spheres, interacting through pseudo-power law repulsions, and characterized by a collision frequency ∝ .., where . is the relative speed of the colliding particles. These models embed inelastic hard spheres (. = 1) and inelastic Maxwell models (. = 0). The systems are either freely cooling without

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The Homogeneous Cooling State Revisited,han hitherto thought. Define the following notation: . is the (fixed) coefficient of normal restitution, . ≡ 1 − .. the ‘degree of inelasticity’, . the granular temperature, and . the speed variable. There is an initial-state-dependent speed, .., such that for .. < . the HCS distribution function re

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