Особенности фазовой диаграммы полужестких бозонов на квадратной решетке

We investigated the phase diagrams of a system of charged semi-hardcore bosons in the mean-field approximation. It is shown that an increase in the local correlation parameter leads to the transformation of the phase diagram of the system from the form characteristic of hard-core bosons to the limit form with a parabolic dependence of the critical temperature of the charge ordering on the boson concentration. The evolution between these limiting cases depends on the ratio of the model parameters and is accompanied by various effects, including a change in the type of phase transition, the appearance of new order-order transitions, and the appearance of new critical points.

Economics of values and philosophy of economics

The article is dedicated to the analysis of axiological ideas lying in the foundation of the modern economic science in general and theory of finances in particular. The concept of homo economicus and its origins are considered. Concept of the "homo economicus" is used in the modern philosophic and methodologic literature on methodologic questions of economical science is used in two meanings. The first considers homo economicus only as a technical construct or model created in the form of certain hypotheses and suppositions set taken in their limit form as an idealization. The second takes it as a certain anthropologic type characterized with according values and behavior. It was demonstrated that the concept of homo economicus has a long before-history consisting in gradual break-up between economical theory and ethics. The homo economicus is a person who build his behavior through calculation of his profit. The latter is a form of his self-discipline that forms a new system of norms free from moral and other similar things. The new system of norms suppose no stable tenets and axioms as it takes place in ethics but remains rational and is based on probabilities calculations. The evolution of economical science is regarded as well as its division into political philosophy and proper economic theory in the end of the XIX century, the role of the growth principle, the growth in spite of anything that stood to the first place in the time of the Great Depression and goes on occupying this place till now. It is demonstrated that the essence of money consists in being a symbol and sign of debt obligations, that the capital is representation of their accumulated form and moving power that makes market economics to move. It is shown also that namely the ideas of capital as well as labour compound axiological foundation of modern economical ideas. The homo economicus or economical man, that means individualistic and egotistic psychotype oriented onto profit and satisfaction of his desires, becomes conceptual ideal.

Filamentous Aggregates of Tau Proteins Fulfil Standard Amyloid Criteria

Abnormal filamentous aggregates formed by tangled tau protein turn out to be classic amyloid fibrils, meeting all criteria defined under the fuzzy oil drop model in the context of amyloid characterization. The model recognizes amyloids as linear structures where local hydrophobicity minima and maxima propagate in an alternating manner along the fibril’s long axis. This distribution of hydrophobicity differs greatly from the classic monocentric hydrophobic core observed in globular proteins. Rather than becoming a globule, the amyloid instead forms a ribbonlike (or cylindrical) structure, which can be thought of as a distorted spherical micelle, which in limit form appears to be the ribbon-like micelle.

Some Further Results on Traveling Wave Solutions for the ZK-BBM() Equations

We investigate the traveling wave solutions for the ZK-BBM() equations by using bifurcation method of dynamical systems. Firstly, for ZK-BBM(2, 2) equation, we obtain peakon wave, periodic peakon wave, and smooth periodic wave solutions and point out that the peakon wave is the limit form of the periodic peakon wave. Secondly, for ZK-BBM(3, 2) equation, we obtain some elliptic function solutions which include periodic blow-up and periodic wave. Furthermore, from the limit forms of the elliptic function solutions, we obtain some trigonometric and hyperbolic function solutions which include periodic blow-up, blow-up, and smooth solitary wave. We also show that our work extends some previous results.

Asymptotic behavior of a Feller evolution family involved in the Fisher-Wright model

We study the evolution in time of the joint distribution of a pair of Feller processes, related by the fact that some random time ago they were identical, evolving as a single Feller process; from that time on, they began to evolve independently, conditional on a state at the time of split, according to the same Feller transition probabilities. Such processes are involved in the Fisher-Wright model: the distribution of the time counted backwards from the present to the time of split in the past is a function of deterministic but time-varying effective size 2N of the population from which the two processes are sampled. In terms of a corresponding family of Feller operators, assuming asymptotic stability or ergodicity of the process of mutation, we find the limit form of the distribution of such pairs of processes sampled from decaying, asymptotically constant, and growing populations. In the case where mutation is not asymptotically stable or ergodic, limit distributions are found for the distribution of relative differences.

Asymptotic behavior of a Feller evolution family involved in the Fisher-Wright model

We study the evolution in time of the joint distribution of a pair of Feller processes, related by the fact that some random time ago they were identical, evolving as a single Feller process; from that time on, they began to evolve independently, conditional on a state at the time of split, according to the same Feller transition probabilities. Such processes are involved in the Fisher-Wright model: the distribution of the time counted backwards from the present to the time of split in the past is a function of deterministic but time-varying effective size 2Nof the population from which the two processes are sampled. In terms of a corresponding family of Feller operators, assuming asymptotic stability or ergodicity of the process of mutation, we find the limit form of the distribution of such pairs of processes sampled from decaying, asymptotically constant, and growing populations. In the case where mutation is not asymptotically stable or ergodic, limit distributions are found for the distribution of relative differences.

Marxian economic theory and an ontology of socialism: a Japanese intervention

The most enduring aspect of the economic studies of Marx is the exposition in Capital of the inner anatomy of capitalism as the limit form of what a human society should not be—that is a commodified society which abdicates the responsibility for the reproduction of human material existence to something that transcends human force. Deriving from this perspective on Capital is the position that socialism, at least in its most fundamental incarnation, should not be considered as being institutionally prefigured by capitalism, but as the antithesis of capitalism in that regard. Given such an understanding of socialism, I derive three core principles of what I call an ontology of socialism from Marx's work in Capital. I then briefly outline what adherence to the principles implies for the issues of calculation, motivation and discovery in the construction of a genuine socialism.

OPTIMALITY OF CONTROL LIMIT MAINTENANCE POLICIES UNDER NONSTATIONARY DETERIORATION

Control limit type policies are widely discussed in the literature, particularly regarding the maintenance of deteriorating systems. Previous studies deal mainly with stationary deterioration processes, where costs and transition probabilities depend only on the state of the system, regardless of its cumulative age. In this paper, we consider a nonstationary deterioration process, in which operation and maintenance costs, as well as transition probabilities “deteriorate” with both the system's state and its cumulative age. We discuss conditions under which control limit policies are optimal for such processes and compare them with those used in the analysis of stationary models.Two maintenance models are examined: in the first (as in the majority of classic studies), the only maintenance action allowed is the replacement of the system by a new one. In this case, we show that the nonstationary results are direct generalizations of their counterparts in stationary models. We propose an efficient algorithm for finding the optimal policy, utilizing its control limit form. In the second model we also allow for repairs to better states (without changing the age). In this case, the optimal policy is shown to have the form of a 3-way control limit rule. However, conditions analogous to those used in the stationary problem do not suffice, so additional, more restrictive ones are suggested and discussed.

FRACTALS BY NUMBERS

We introduce an extension of an earlier defined simple, number-based matrix substitution system for obtaining fractal matrices, by considering cyclic substitutions. The elements of the resulting matrices are related to representations of their addresses in a mixed number base. The Hutchinson operator for the limit form of a geometrical representation of the fractal matrix is derived. It is shown that the class of fractal limit sets obtainable from cyclic substitutions does not extend the class obtainable from the simple substitutions.