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arXiv 1408.6590cond-mat.soft
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弱耗散颗粒碰撞的动力学研究

Dynamical approach to weakly dissipative granular collisions

Italo'Ivo Lima Dias Pinto, Alexandre Rosas, Katja Lindenberg

摘要:

颗粒系统呈现出令人惊讶的复杂动力学。特别是,非线性相互作用和能量耗散在这些动力学中起着重要的作用。通常,常系数的恢复现象引入考虑能量耗散时,颗粒碰撞。假设碰撞是瞬时的,并保持动量。在这里,我们通过在两个碰撞颗粒的运动方程中引入粘性(速度相关)项来改善这种现象。使用一阶近似,我们解决了在低粘度制度的运动方程。这种方法允许我们计算碰撞时间、每个颗粒的最终速度以及取决于颗粒相对速度的恢复恢复系数。我们比较我们的分析结果与那些通过数值积分的运动方程。

英文摘要:

Granular systems present surprisingly complicated dynamics. In particular, nonlinear interactions and energy dissipation play important roles in these dynamics. Usually, constant coefficients of restitution are introduced phenomenologically to account for energy dissipation when grains collide. The collisions are assumed to be instantaneous and to conserve momentum. Here, we improve on this phenomenology by introducing the dissipation through a viscous (velocity dependent) term in the equations of motion for two colliding grains. Using a first order approximation, we solve the equations of motion in the low viscosity regime. This approach allows us to calculate the collision time, the final velocity of each grain, and a coefficient of restitution that depends on the relative velocity of the grains. We compare our analytic results with those obtained by numerical integration of the equations of motion.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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