1,721,010 research outputs found
Erratum: "Fluid-dynamic equations for granular particles in a host medium" [J. Math. Phys. 46, 113301 (2005)]
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KINETIC APPROACH FOR TWO LEVEL ATOMS INTERACTING WITH MONOCHROMATIC PHOTONS
No full textMECH. RESEARCH COMM
Kinetic models of conservative economies with wealth redistribution
No full textKinetic models for wealth distribution in a simple market
economy are introduced, to reproduce the salient features of the wealth distribution by including taxes to each trading process and redistributing the collected money among the population according to a given criterion. Our analysis gives a theoretical basis to some recent research that analyzed discrete simplified models for the exploitation of finite resources by interacting agents, where each agent receives a random fraction of the available resources. It is shown that in general the redistribution is able to modify the Pareto index, and that this modification can be quantified in terms of the redistribution operator
Approximate solutions to the problem of stationary shear flow of smooth granular materials
No full textThe inelastic Boltzmann equation is used in order to study stationary shear flows in a rarefield granular gas of hard spheres. We resort to a Gaussian moment approximation in order to calculate the pressure tensor in three dimensions. The method is discussed along with previously introduced techniques: asymptotic expansion in the near elastic limit, and pseudo-Maxwellian approximation. Numerical results and approximate analytic formulas for the pressure tensor are presented and briefly commented on. A comparison with the pseudo-Maxwellian solution is discussed in detail
The dissipative linear boltzmann equation
No full textAbstractWe introduce and discuss a linear Boltzmann equation describing dissipative interactions of a gas of test particles with a fixed background. For a pseudo-Maxwellian collision kernel, it is shown that, if the initial distribution has finite temperature, the solution converges exponentially for large time to a Maxwellian profile drifting at the same velocity as field particles and with a universal nonzero temperature which is lower than the given background temperature
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