Examines the exponential decay of the amplitude envelope of an underdamped harmonic oscillator. Regime of small damping; Energy revisited; Similarity with the exponential envelope for the kinetic and potential energies.KarlowEdwinA.American Journal of Physics...
The effect of damping on velocity, acceleration and energy are analysed and discussed in terms of a phase angle. The instantaneous energy of the oscillator is not a pure exponential decay function of time; rather it is given by an exponential decay function with a 'ripple' superimposed on it...
Bohr suggested that there should exist a form of complementarity between temperature and energy in thermodynamics similar to that of position and momentum in quantum theory1. His reasoning was that in order to assign a definite temperatureTto a system it must be brought in contact with a thermal ...
If the amplitude of a simple harmonic oscillator is doubled, by what multiplicative factor does the frequency change?If the total energy of a harmonic oscillator is reduced by 1/3, what is the change in the amplitude of the oscillations?A simple harmonic oscillator...
Given the relative cross-sections, we see that only a few percent of voh is transferred to vch. The rest disappear into lower energy states [23]. In the first 1 ps, the predominant daughter of Voh decay in the Vch region is the methylene stretch vs(CH2). Subsequently the energy in ...
In summary, the conversation discussed the decay rate of high order modes in a string or air cavity when excited by noise. It was suggested that the decay is due to damping from friction or viscous dissipation. However, there is currently no microscopic theory to explain the rate of ...
The aim of this paper is to shed light on the problem of controlling a complex network with minimal control energy. We show first that the control energy depends on the time constant of the modes of the network, and that the closer the eigenvalues are to the imaginary axis of the complex...
Besides, in metallic and semiconducting materials electrons are excited to unoccupied levels, forming electron–hole pairs (excitons), and finally decay via excitation of phonons, fluorescence, or rupture of chemical bonds [1]. Fig. 9.1 shows the well-acknowledged model of friction energy dissipation...
In this article, the problem of a one-dimensional viscous-force-damped harmonic oscillator has been revisited, and it has been emphasized that the exponential decay of the total energy of an underdamped oscillator is not smooth; rather, it has ripples in it....
Indeed though conical intersections are a priori rare because of the Von Newmann–Wigner avoided crossing theorem, chemists were recently interested in these conical intersections for explaining anomalous photo-induced decay. The are now claims that from ab initio calculations, most complex molecules ...