Molecular Transitions and Chemical Reaction Rates: The stochastic model relates the rate of a chemical reaction to the underlying transition probabilities.
Molecular Transitions and Chemical Reaction Rates: The stochastic model relates the rate of a chemical reaction to the underlying transition probabilities.
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分子转变和化学反应速率：随机模型将化学反应速率与潜在的转变概率联系起来。
DOI：
10.1126/science.148.3677.1555
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发表时间：
1965
期刊：
影响因子：
56.9
通讯作者：
B. Widom
中科院分区：
文献类型：
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作者：
B. Widom
B。当两个质量块被释放时，系统将振动，两个外部质量块向一个方向运动，内部质量块向另一个方向运动（外部质量块之间的距离保持在其平衡值上），质量块的坐标和速度将以一个确定的频率V2周期性地变化。质量的一般位移并不单独对应于其中任何一个，而是对应于两者的组合。除了我所描述的那些初始条件之外，任何初始条件都会导致两个简正模式的同时激励，并且在这样的一般振动中，质量的坐标和速度不是具有确定频率v或v2的周期函数;相反，质量从其平衡位置的位移是这些周期函数的组合，A1 cos（27 rv 1 t + 0，）+A2 cos（27 rv 2 t +0 2），具有一定的恒定幅度A1和A2以及相位角0 1和0 2。更复杂的系统也可以用类似的方法分析，只要系统中有振动坐标，就可以得到许多简正模，每个简正模都有其特征频率。
B. Widom are then released, the system will vibrate, with the two outer masses moving in one direction and the inner mass in the other (the distance between the outer masses remaining fixed at its equilibrium value), and the coordinates and velocities of the masses will vary periodically with a single definite fre-quency, V2-These very special vibrations are the two normal modes of the system. A general displacement of the masses cor-responds not to either one alone but to a combination of the two. Any initial conditions other than those I have described lead to the simultaneous excitation of both normal modes, and in such a general vibration the coordinates and velocities of the masses are not periodic functions with a definite frequency v, or v2; instead, the dis-placements of the masses from their equilibrium positions are combinations of such periodic functions, A1cos (27rv1t+ 0,)+ A2cos (27rv2t+ 02), with certain constant amplitudes A1 and A2 and phase angles 01 and 02. More complicated systems may be similarly analyzed, and leadto as many normal modes, each with its characteristic frequency, as there are vibrational coordinates in thesystem.