Abstract

We study the global pressure of a one-dimensionalpolydisperse granular gases system for the first time, in which the sizedistribution of particles has the fractal characteristic and theinhomogeneity is described by a fractal dimension D. The particles aredriven by Gaussian white noise and subject to inelastic mutual collisions.We define the global pressure P of the system as the impulse transferredacross a surface in a unit of time, which has two contributions, one fromthe translational motion of particles and the other from the collisions.Explicit expression for the global pressure in the steady state is derived.By molecular dynamics simulations, we investigate how the inelasticity ofcollisions and the inhomogeneity of the particles influence the globalpressure. The simulation results indicate that the restitution coefficiente and the fractal dimension D have significant effect on the pressure.

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