The multivariate log-normal distribution is a good candidate to describe data that are not only positive and skewed, but also contain many characteristic values. In this study, we apply the generalized variable method to compare the mean vectors of two independent multivariate log-normal...

Among statistical inferences, one of the main interests is drawing the inferences about the log-normal means since the log-normal distribution is a well-known candidate model for analyzing positive and right-skewed data. In the past, the researchers only focused on one or two log-normal...

In this paper, the hypothesis testing and confidence region construction for a linear combination of mean vectors for K independent multivariate normal populations are considered. A new generalized pivotal quantity and a new generalized test variable are derived based on the concepts of...

A flashing ratchet is considered, which involves periodic two-well potentials fluctuating via random shifts of one half-period. Such a Brownian motor exhibits the maximum efficiency tending to unity, provided one of the barriers blocks the reverse movement of a Brownian particle and the...

Brownian motion in a confining potential fluctuating between two spatially separated potential profiles is considered as a model of an engine converting nonequilibrium fluctuations into reciprocating motion on the nanoscale. We present two exact solutions obtained for the parabolic and step...

Activated rate processes in two dimensions are studied analytically under the condition of weak friction on the reactive mode (energy diffusion) and high friction on the nonreactive coordinate. It is found that the process scenario and, as a consequence, the escape kinetics crucially depend on...

In this paper, we report the calculated femtosecond transient spectra of the primary electron transfer in the bacterial reaction center of Rhodobacter sphaeroides R26. The excitation dependence of the time-resolved spectra is simulated. The effects of vibrational coherence on the time-resolved...

The master equation for the mean field Ising model is derived from the Liouville formalism and cast into the same form as one usually writes the phenomenological master equation. Thus all constants including the time scale entering the phenomenological approach are well defined. The connection...

The theory of radiationless transitions is revised. At low temperatures, low energy gaps and finite concentrations of ions (impurities, defects, etc.), a usual assumption about equilibrium lattice phonons is not valid any more. For the concentrations of ions above certain characteristics...