Similarity and Probability Distribution Functions in Many-body Stochastic Processes with Multiplicative Interactions

Analytical and numerical studies on many-body stochastic processes with multiplicative interactions are reviewed. The method of moment relations is used to investigate effects of asymmetry and randomness in interactions. Probability distribution functions of the processes generally have similarity solutions with power-law tails. Growth rates of the system and power-law exponents of the tails are determined via transcendental equations. Good agreement is achieved between analytical calculations and Monte Carlo simulations.Comment: 8 pages, 4 figures, CN-Kyoto proceeding

Hydrogenation of Amorphous and Crystalline Gd-Co Alloys

Amorphous Gd-Co alloys were prepared over a wide composition range from 45 to 70 at % Gd by melt-quenching. These alloys absorbed a large amount of hydrogen in the amorphous state below 423 K. The hydrogen absorption capacity for the amorphous alloys was lower than that for the corresponding crystalline alloys and it increased with increasing Gd content in the alloy. The number of hydrogen atom absorbed per one gadolinium atom was approximately two with regardless to the alloy composition. On the other hand, the Laves phase compound GdCo_2 was changed to an amorphous phase after reaction with hydrogen below about 700 K, among all of intermetallic compounds formed in Gd-Co system. This amorphous alloy did not show a pressure plateau in the pressure-composition isotherm, in the same manner as other melt-quenched amorphous alloys

Two novel proteins in the mitochondrial outer membrane mediate β-barrel protein assembly

Mitochondrial outer and inner membranes contain translocators that achieve protein translocation across and/or insertion into the membranes. Recent evidence has shown that mitochondrial β-barrel protein assembly in the outer membrane requires specific translocator proteins in addition to the components of the general translocator complex in the outer membrane, the TOM40 complex. Here we report two novel mitochondrial outer membrane proteins in yeast, Tom13 and Tom38/Sam35, that mediate assembly of mitochondrial β-barrel proteins, Tom40, and/or porin in the outer membrane. Depletion of Tom13 or Tom38/Sam35 affects assembly pathways of the β-barrel proteins differently, suggesting that they mediate different steps of the complex assembly processes of β-barrel proteins in the outer membrane

Asymptotic analysis of the model for distribution of high-tax payers

The z-transform technique is used to investigate the model for distribution of high-tax payers, which is proposed by two of the authors (K. Y and S. M) and others. Our analysis shows an asymptotic power-law of this model with the exponent -5/2 when a total ``mass'' has a certain critical value. Below the critical value, the system exhibits an ordinary critical behavior, and scaling relations hold. Above the threshold, numerical simulations show that a power-law distribution coexists with a huge ``monopolized'' member. It is argued that these behaviors are observed universally in conserved aggregation processes, by analizing an extended model.Comment: 5pages, 3figure