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arXiv 1404.0652math.APmath-phmath.MP
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粒子海中物体的速度阻力判据

Velocity Reversal Criterion of a Body Immersed in a Sea of Particles

Xuwen Chen, Walter Strauss

摘要:

我们考虑一个刚体与一个连续质点碰撞。我们假设物体以接近平衡速度V_{\infty}的速度运动,并且与物体碰撞的粒子漫反射,也就是说,概率上具有某种概率分布K。我们找到一个充分且几乎必要的条件,即碰撞粒子的集体力使物体的相对速度V(t)反向,即在物体接近平衡之前改变V(t)- V_{\infty}的符号。给出了反转和非反转的例子。这与仅发生反转的纯镜面反射情况形成强烈对比。

英文摘要:

We consider a rigid body colliding with a continuum of particles. We assume that the body is moving at a velocity close to an equilibrium velocity V_{\infty} and that the particles colliding with the body reflect diffusely, that is, probabilistically with some probablility distribution K. We find a condition that is sufficient and almost necessary that the collective force of the colliding particles reverses the relative velocity V(t) of the body, that is, changes the sign of V(t)-V_{\infty}, before the body approaches equilibrium. Examples of both reversal and irreversal are given. This is in strong contrast with the pure specular reflection case in which only reversal happens.

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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