Influence of the Epithermal Effects on the MCF Steady State

This work is devoted to the correct interpretation of the steady state parameters of the muon catalyzed fusion (MCF) process in a D/T mixture. Previously the influence of the epithermal effects dtμ-molecule formation by ‘hot,’ non-thermalyzed tμ-atoms) on the steady state parameters was studied only for measurements with a low-density target (density φ = 0.01 relative to the liquid hydrogen density). We suggest a new method allowing direct determination of the necessary corrections to the MCF cycling rate for high-density data (φ ≥ 0.4).     

On the Correct Determination of the MCF Parameters

The article is devoted to the problem of the determination of the MCF parameters without essential loss in statistics. A new analysis method is suggested for this. This makes it possible to increase the statistics by a factor of 4–5 as compared with the previous analysis.     

On the measure of non-gaussianity of a nearly Gaussian noise

A procedure for the determining of the measure of non-gaussianity of nearly Gaussian noise is suggested, which used trimmed interval of concentration. The procedure is based on the Parseval finite-interval theorem. The following notions have been introduced: the scalar measure of non-gaussianity, the vector measure of non-gaussianity, and multicomponent partial measure of non-gaussianity. The method allows decreasing the probability of the mistaking of a purely Gaussian noise for nearly Gaussian one. The procedure was validated using a mixed normal distribution. The testing showed the finite-interval analog of the Gram-Charlier expansion to have only a few main (meaningful) components. The procedure for the determining of the measure of non-gaussianity of nearly Gaussian noise can be used in the noise diagnostics of various electrochemical systems and for noise monitoring of objects and processes in the electrochemical power engineering.     

The Kramers-Moyal expansion for electrochemical stochastic diffusion

It is proved that there is a general stochastic equation, according to which any random process in the transient mode can be presented by spatially homogeneous Kramers-Moyal expansion. In the electrochemical stochastic diffusion, an integral of the fluctuation component of electrode potential over the time plays the role of spatial coordinate. Based on these two facts, we derived a spatially homogeneous Kramers-Moyal expansion for the propagator of electrochemical stochastic diffusion. By using the limiting transition to long observation times, we obtained a time and spatially homogeneous asymptotic Kramers-Moyal expansion for the propagator of asymmetric non-Gaussian electrochemical stochastic diffusion. Under the conditions of Gaussian electrochemical noise, the asymptotic Kramers-Moyal expansion turns into the Einstein stochastic diffusion equation. The method of determining time and spatially homogeneous asymptotic Kramers-Moyal expansion for the propagator of asymmetric non-Gaussian electrochemical stochastic diffusion may be useful in the stochastic theory of slow electrochemical discharge and in the electrochemical noise diagnostics.     

On the 60th Birthday of Sh. Sh. Khidirov

Russian Journal of Electrochemistry -     

Effective Muon Losses in the Muon Catalyzed Fusion Cycle in a Double D/T Mixture at High Temperature and Density

The effective muon losses w measured in the last experiment of the JINR group with D/T mixture are analyzed. They are considered as a function of the tritium concentration C _t taken for different temperatures. The obtained results indicate different muon transfer rates from deuterium and tritium to impurities with Z>1 (λ _dZ and λ _tZ ) and show that the ratio λ _tZ /λ _dZ increases with temperature. This revised version was published online in August 2006 with corrections to the Cover Date.