A statistical distribution function and spectral energy density are derived for the q-analogue of a black body radiation. These functions are different from the usual ones for q ≠ 1 and they have singularities. The reason for these singularities is also discussed.
Plots and quantitative measures obtained from recurrence quantification analysis - recurrence rate, determinism, entropy, and trapping time, were used for the sensitive detection of transitions from laminar (regular) to turbulent (chaotic) phases in the Lorenz model periodically modulated at the onset of chaos.
Using a double well model complemented with the third excited state it is shown that a new excited-state-induced protein vibration-mediated channel, with an electron transfer rate comparable to a standard tunneling rate may exist. This channel can become dominant at low temperatures.
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