Papers › Influence of roughness on the dynamical properties of granular gases
Influence of roughness on the dynamical properties of granular gases
Alberto Megías
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The statistical-physical study of granular matter is essential to understand, from a fundamental point of view, the many different phenomena emerging in these classical many-body systems. Under rapid-flow conditions, granular materials exhibit a gas-like behavior, which can be described from the kinetic theory of gases. However, unlike molecular gases, a granular gas dissipates energy upon particle collisions, thus being completely out of equilibrium. Then, whereas the simplest model for a molecular gas consists in a collection of elastic hard spheres, a granular gas is simply described by inelastic hard spheres, which is usually improved by the consideration of surface roughness in the particles. Moreover, a granular gas can be found in free evolution, externally driven, or even immersed in an interstitial fluid. In this work, the description of the dynamics of granular gases has been carried out with the aim of identifying the specific properties emerging from the model by considering the surface roughness of granular particles. For that end, we have used the Boltzmann equation, adding in the driven and suspension cases a Fokker--Planck-like term. The main objectives of this thesis have been the theoretical description of the homogeneous states of the considered models, as well as the study of memory effects emerging from out-of-equilibrium states, and, finally, the transport properties and the appearance of instabilities in the hydrodynamic description of a granular gas of inelastic and rough particles. All these kinetic-theory analyses have been supplemented with computer simulations from Monte Carlo and molecular dynamics algorithms.
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