Temporal and dimensional effects in evolutionary graph theory

The spread in time of a mutation through a population is studied analytically and computationally in fully-connected networks and on spatial lattices. The time, t_*, for a favourable mutation to dominate scales with population size N as N^{(D+1)/D} in D-dimensional hypercubic lattices and as N ln N in fully-connected graphs. It is shown that the surface of the interface between mutants and non-mutants is crucial in predicting the dynamics of the system. Network topology has a significant effect on the equilibrium fitness of a simple population model incorporating multiple mutations and sexual reproduction. Includes supplementary information.Comment: 6 pages, 4 figures Replaced after final round of peer revie

Reconciling the interests of the economic diversification participants in a single-industry town

Рассматриваются проблемы согласования интересов участников процесса диверсификации экономики моногорода в процессе управления развитием моногорода на основе реализации стратегии диверсификации. Целью исследования является разработка инструментов гармонизации интересов участников процесса диверсификации экономики моногорода на основе разработки модели полного согласования интересов и сопоставления ее с моделью отдельно взятого моногорода. Методы исследования: системный подход, анализ и синтез, построение множеств согласования интересов с применением диаграммы Эйлера-Венна, методы комбинаторики, построение экономических показателей и рядов динамики, графический метод представления результатов и построения иерархии согласования интересов. Результаты исследования. Представлена модель полного согласования интересов различных групп лиц, в которой отражены сферы возможного пересечения интересов, а также иерархия числа согласуемых интересов. Предложены основные группы участников процесса диверсификации моногорода, а также разграничено понятие участника и роли (функции) участника в данном процессе. Обосновано и определено число множеств в зависимости от числа участников, чьи интересы одновременно согласуются, на примере моногорода Калтан Кемеровской области. На основе предложенной модели построена модель согласования интересов на примере моногорода Калтана. Полученная модель имеет трапециевидную форму, что свидетельствует о достаточно небольшом числе общих согласуемых интересов. Автор приходит к выводу, что в моногороде сформирован треугольник интересов «администрация города - малый бизнес в роли инвестора - вуз», представляющий основу в иерархии согласования интересов моногорода Калтан. Центральное положение при согласовании интересов с прочими участниками занимает исключительно администрация города. На основе данных выводов внесены предложения по направлениям дальнейшего согласования интересов на примере рассматриваемого моногорода.The article explores the problems of reconciling the interests of single-industry towns, a need that arises from the entire process of industry development management through a diversification strategy. The aim of this study is to develop tools to harmonize the interests of the single-industry towns, based on a model of full harmonization with the model of an individual single-industry town. Methods of the research: system approach, analysis and synthesis, building a set of harmonized interests with the application of the Eulerian-Venn diagram, combinatorics methods, construction of economic indicators and series of dynamics, graphical method of presentation of results and building the hierarchy of interests. Results of the study. The paper introduces the model for fully reconciling the interests of different groups of persons, reflecting the areas of possible intersecting interests and the hierarchy of the number of interests involved. The article proposes the main groups of participants in the diversification process and the differentially concept of participant and the role (function) of the participant in the diversification process. The author justifies and estimates the number of sets depending on the number of participants whose interests are concurrently reconciled in Kaltan case study. The proposed model is used for Kaltan, Kemerovo region case study. The result ing model is of a trapezoidal form, which indicates that there are quite a few common consenting interests. The author concludes that a triangle of interests «city administration - small business as investor - university» is formed. This triangle represents the highest level of harmonization of interests in the hierarchy. The city administration is in central position in reconciling interests with other participants. By the example of the considered single-industry town and based on these findings the suggestion on further harmonization of interests was made

Overtones of the Si−H Stretching−Bending Polyad in SiHD₃: Internal Coordinate Force Field, ab initio Dipole Moment Surfaces, and Band Intensities

Overtones of the Si−H stretching−bending polyad of the SiHD3 molecule are studied using an internal coordinate force field model. The potential parameters are optimized by fitting to the experimental band centers. The Fermi resonance between the Si−H stretching and bending motions is insignificant due to cancellation of the contributions from kinetic and potential terms. This suggests a slow redistribution of vibrational energy between these two degrees of freedom and induces local mode character of respective vibrations. Band intensities are calculated by using ab initio one- and three-dimensional dipole moment surfaces (DMS). These agree reasonably well with the observations. The successful reproduction of relative intensities between the (n1 − 1)ʋ1 + 2ʋ5 stretching−bending combination bands and the n1ʋ1 stretching bands establishes the importance of the bending motion in the multidimensional DMS for intensity investigations

Millimeter-Wave Spectra, ab Initio Calculations, and Structures of Fluorophosphane and Chlorophosphane

The structures of fluorophosphane, PH2F, and chlorophosphane, PH2Cl, have been calculated ab initio at the SCF, MP2, CCSD, and CCSD(T) levels using a quadruple ζ polarized basis set. Equilibrium and ground state rotational constants as well as centrifugal distortion constants have been predicted for several isotopomers of PH2F and PH2Cl. Theoretical CCSD(T) geometries were also determined for the series of PHnX3-n (X = F, Cl; n = 0−3) molecules using a triple ζ polarized basis set. The millimeter-wave spectra of the short-lived molecules PH2F, PH2Cl, and their perdeuterated species were measured in the frequency range 100−470 GHz. For PH2F and PH2Cl, accurate ground state parameters have been obtained by a combined fit of the millimeter-wave data and the infrared ground state combination differences. The ro, rz, and re structures of PH2F and PH2Cl, as well as PH3, PCl3, and PHF2 have been determined. The experimental results are found in excellent agreement with their ab initio predictions

Transport in ZnCoO thin films with stable bound magnetic polarons

Diluted magnetic ZnCoO films with 5 at.% Co have been fabricated by pulsed laser deposition on c-plane sapphire substrates and Schottky and Ohmic contacts have been prepared in top-top configuration. The diode current is significantly reduced after the diode has been subjected to an external magnetic field. In the reverse bias range the corresponding positive magnetoresistance is persistent and amounts to more than 1800% (50 K), 240% (30 K), and 50% (5 K). This huge magnetoresistance can be attributed to the large internal magnetic field in depleted ZnCoO with ferromagnetic exchange between stable bound magnetic polarons

Sedimentation-consolidation of a double porosity material

This paper studies the sedimentation-consolidation of a double porosity material, such as lumpy clay. Large displacements and finite strains are accounted for in a multidimensional setting. Fundamental equations are derived using a phenomenological approach and non-equilibrium thermodynamics, as set out by Coussy [Coussy, Poromechanics, Wiley, Chichester, 2004]. These equations particularise to three non-linear partial differential equations in one dimensional context. Numerical implementation in a finite element code is currently being undertaken

Maximum principle and mutation thresholds for four-letter sequence evolution

A four-state mutation-selection model for the evolution of populations of DNA-sequences is investigated with particular interest in the phenomenon of error thresholds. The mutation model considered is the Kimura 3ST mutation scheme, fitness functions, which determine the selection process, come from the permutation-invariant class. Error thresholds can be found for various fitness functions, the phase diagrams are more interesting than for equivalent two-state models. Results for (small) finite sequence lengths are compared with those for infinite sequence length, obtained via a maximum principle that is equivalent to the principle of minimal free energy in physics.Comment: 25 pages, 16 figure

Observation of large scissors resonance strength in actinides

The orbital M1-scissors resonance (SR) has been measured for the first time in the quasi-continuum of actinides. Particle-gamma coincidences are recorded with deuteron and 3He induced reactions on 232Th. The residual nuclei 231,232,233Th and 232,233Pa show an unexpectedly strong integrated strength of $B_{M1} = 11-15 \mu_{n}^{2}$ in the Egamma=1.0 - 3.5 MeV region. The increased gamma-decay probability in actinides due to the SR is important for cross-section calculations for future fuel cycles of fast nuclear reactors and may also have impact on stellar nucleosynthesis.Comment: 5 pages and 4 figure

Increased static dielectric constant in ZnMnO and ZnCoO thin films with bound magnetic polarons

A novel small signal equivalent circuit model is proposed in the inversion regime of metal/(ZnO, ZnMnO, and ZnCoO) semiconductor/Si3N4 insulator/p-Si semiconductor (MSIS) structures to describe the distinctive nonlinear frequency dependent capacitance (C-F) and conductance (G-F) behaviour in the frequency range from 50 Hz to 1 MHz. We modelled the fully depleted ZnO thin films to extract the static dielectric constant (εr) of ZnO, ZnMnO, and ZnCoO. The extracted enhancement of static dielectric constant in magnetic n-type conducting ZnCoO (εr ≥ 13.0) and ZnMnO (εr ≥ 25.8) in comparison to unmagnetic ZnO (εr = 8.3–9.3) is related to the electrical polarizability of donor-type bound magnetic polarons (BMP) in the several hundred GHz range (120 GHz for CdMnTe). The formation of donor-BMP is enabled in n-type conducting, magnetic ZnO by the s-d exchange interaction between the electron spin of positively charged oxygen vacancies Vo+ in the BMP center and the electron spins of substitutional Mn2+ and Co2+ ions in ZnMnO and ZnCoO, respectively. The BMP radius scales with the Bohr radius which is proportional to the static dielectric constant. Here we show how BMP overlap can be realized in magnetic n-ZnO by increasing its static dielectric constant and guide researchers in the field of transparent spintronics towards ferromagnetism in magnetic, n-ZnO