Domain behavior

Time-domain response of feedback amplifiers has been regularly correlated with frequency-domain behavior, and vice versa. Examples have usually been restricted to those situations in which only the amplifier contributes phase shift (single pole) or where a second source of phase was included (two-pole), such as from nonideal amplifier design or from the effects of stray capacitance at the input terminal. The system of interest in electrochemistry is more complicated than a two-pole system because there is also a decreasing phase shift caused by... 

The dispersion relation co(k) is the relation between the angular frequency co (time-domain behavior) and the wavevector k (space-domain behavior). Dispersion means that waves of different angular frequencies co can travel at different speeds v. In the present simple case the dispersion relation is the linear relationship ... 

Although cannabis can produce the varied effects previously noted, most marijuana users use the drug to experience its psychological effects, some of which arc reported consistently and others more idiosyncratically. The psychological effects generally experienced by marijuana users can be divided into three domains behavioral, cognitive, and emotional. 

Extensive measurements of the kinetics to determine rate constants for the nanocrystal transition have been made only on the CdSe system (Chen et al. 1997, Jacobs et al. 2001). Both the forward and reverse transition directions have been studied in spherically shaped crystallites as a function of pressure and temperature. The time-dependence of the transition yields simple transition kinetics that is well described with simple exponential decays (see Fig. 5). This simple rate law describes the transformation process in the nanocrystals even after multiple transformation cycles, and is evidence of the single-domain behavior of the nanocrystal transition. Rate constants for the nanocrystal transition are obtained from the slope of the exponential fits. This is in contrast to the kinetics in the extended solid, which even in the first transformation exhibits complicated time-dependent decays that are usually fit to rate laws such as the Avrami equation. 

Hydrogen [54] and helium [55] atoms are known to exhibit regular/chaotic dynamics in the presence of external field of different colors and intensities. Chaotic ionization from the Rydberg states of the atoms [54,55] has been very intriguing for the experimentalists. Both QFD [56,57] and quantum theory of motion (QTM) [58,59] have been able to explain the quantum domain behavior of the classically chaotic systems [60], In QFD, the quantum dynamics is mapped onto that of a probability fluid of density and current density p(r, t) and j(r, t) respectively obtainable as solutions to the QFD equations. The fluid moves under the influence of the classical Coulomb potential augmented by a quantum potential defined as... 

The time-domain behavior of the zero-input response of a circuit is related to the frequency-domain property of resonance. In the case of a second-order circuit, its zero-input response will be overdamped, critically damped, or underdamped, depending on the value of the circuit s components. If the components are such that the response is highly underdamped, the circuit is said to be in resonance, and its zero-input response will be oscillatory in nature and will not decay rapidly. The relative proximity of the poles of the circuit s transfer function H(s) to the j axis accounts for this oscillatory behavior. To see this, note that each distinct pair of complex poles in H s) contributes to yz R(t) a term having the following form ... 

Qualitative description of the domain behavior above the threshold. Some approaches to describing the transition from regular domains to turbulence are also reviewed. 

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