We propose a simple model to interpret the optical absorption spectra of porphyrin in different solvents. Our model successfully explains the decrease in the intensity of optical absorption at maxima of increased wavelengths. We also prove the dependence of the intensity and peak positions in the absorption spectra on the environment. The nature of the Soret band is supposed to derive from π plasmon. Our theoretical calculations are consistent with previous experimental studies.
Abstract. It has been observed that at the large time scales the distribution of stock market returns is convergent from Boltzmann distribution to Gaussian asymptotic one. To explain this universal phenomenon, we propose a new and simple dynamic model to describe this convergence by the time parameter in association with the introducing the concept of relaxation time for financial markets. The analysis of stock market data packages in different time intervals showed that our model fits well the financial market data. The meaning of so-called relaxation time has been qualitatively made clear, as a measure to estimate the stability of the market.
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