Work distribution for the driven harmonic oscillator with time-dependent strength: exact solution and slow driving
Work distribution for the driven harmonic oscillator with time-dependent strength: exact solution and slow driving
复制标题
强度随时间变化的驱动谐振子的功分布：精确解和慢速驱动
DOI：
10.1088/1751-8113/44/30/305001
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
T. Speck
中科院分区：
文献类型：
--
作者：
T. Speck
研究了单粒子在含时简谐势中运动时的功分布。这个简单的系统具有指数尾部的非高斯工作分布。相应的矩母函数的时间演化由两个耦合的常微分方程数值求解。基于这个结果，我们研究的行为的工作分布的限制缓慢，但有限的驱动，并表明，它接近高斯分布任意好。
We study the work distribution of a single particle moving in a harmonic potential with time-dependent strength. This simple system has a non-Gaussian work distribution with exponential tails. The time evolution of the corresponding moment generating function is given by two coupled ordinary differential equations that are solved numerically. Based on this result we study the behavior of the work distribution in the limit of slow but finite driving and show that it approaches a Gaussian distribution arbitrarily well.