湮灭动力学下的布朗运动
Brownian motion under annihilation dynamics
摘要：
研究了在弹道湮没动力学条件下，重标记入侵者在粒子浴中的行为。导出了该系统的Fokker-Planck方程，并计算出相应的扩散特性。在长时间内，入侵者的速度分布函数接近高斯形式，但与其浴对应的不同的温度。由于浴中颗粒的连续衰减，均方位移在每个颗粒的碰撞时间尺度上呈指数增加。分析结果最终成功地测试对Monte Carlo数值模拟。
英文摘要：
The behavior of a heavy tagged intruder immersed in a bath of particles evolving under ballistic annihilation dynamics is investigated. The Fokker-Planck equation for this system is derived and the peculiarities of the corresponding diffusive behavior are worked out. In the long time limit, the intruder velocity distribution function approaches a Gaussian form, but with a different temperature from its bath counterpart. As a consequence of the continuous decay of particles in the bath, the mean squared displacement increases exponentially in the collision per particle time scale. Analytical results are finally successfully tested against Monte Carlo numerical simulations.
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