We review recent studies of distribution of dimeric tandem repeats and short oligomer clustering in DNA sequences. We find that distribution of dimeric tandem repeats in coding DNA is exponential, while in noncoding DNA it often has long power-law tails. We explain this phenomenon using mutation...

Percolation theory is generalized to predict the effective properties of specific solid oxide fuel cell composite electrodes, which consist of a pure ion conducting material (e.g., YSZ or GDC) and a mixed electron and ion conducting material (e.g., LSCF, LSCM or CeO₂). The investigated...

A ‘special nodes and blobs’ model of percolation phase transition, obtained from the distribution function of a kinetic coefficient, such as conductivity and the Hall and Seebeck coefficients, is introduced.

This paper focuses on theory studies of rock electrical properties using percolation theory. The results show that classical site and bond percolation models can well describe the characteristics of the pore connectivity and the effects on the electrical resistivity. Because of the...

The critical region in a compositionally graded material occurs where the dominant phase ceases to percolate, and so is poorly treated by effective medium theories. To address this problem, equations for the size and effective scalar properties of that region are obtained from percolation theory.

The real physical phenomena of ‘special’ nodes in a percolation phase transition, obtained from the distribution functions of the Joule heat and the Hall and Seebeck coefficients are considered. The ‘special’ nodes N (p) (the ‘active’ nodes for the Hall and Seebeck coefficients and...

Economic behavior strives for efficiency. Therefore, also evolving network structures should be a result of such a goal-oriented behavior. Traditionally, networks were assumed to be only temporary phenomena, since the prevailing organizational forms that comply with the efficiency postulate are...