Dresden 2020 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 33: Granular Matter and Granular Dynamics I
DY 33.9: Talk
Wednesday, March 18, 2020, 12:00–12:15, ZEU 118
Collective abrasion of pebbles — •János Török1,2, András Sipos1,3, and Gábor Domokos1,2 — 1MTA-BME Morphodynamics Research Group, Budapest University of Technology and Economics — 2Department of Theoretical Physics, Budapest University of Technology and Economics — 3Department of Mechanics, Materials and Structures, Budapest University of Technology and Economics
Fragments of rocks start their life after removal from their original position. Natural elements take over the formation of the resulting pebbles. Much is known about the evolution of the shapes of the pebbles depending on the size of the object they collide with. However the abrasion of these fragments never happens in a solitary manner rather it is a collective phenomenon.
We investigate the collective equations driving the particle size probability distribution functions and identify the stationary distributions. We examine the possible physical processes and derive the corresponding partial differential equations for the collective process. These physical models have to take into account the actual particle size distribution the collision probability, the relative velocities of the particles and the collision energy.
We analyze the resulting models using both stochastic simulation and direct simulations of the Fokker-Planck equations. We analytically identify the cases where unimodal or bimodal particle size distribution can be obtained in the stationary state.