scholarly journals Stochastic phase segregation on surfaces

2017 ◽  
Vol 4 (8) ◽  
pp. 170472 ◽  
Author(s):  
Prerna Gera ◽  
David Salac

Phase separation and coarsening is a phenomenon commonly seen in binary physical and chemical systems that occur in nature. Often, thermal fluctuations, modelled as stochastic noise, are present in the system and the phase segregation process occurs on a surface. In this work, the segregation process is modelled via the Cahn–Hilliard–Cook model, which is a fourth-order parabolic stochastic system. Coarsening is analysed on two sample surfaces: a unit sphere and a dumbbell. On both surfaces, a statistical analysis of the growth rate is performed, and the influence of noise level and mobility is also investigated. For the spherical interface, it is also shown that a lognormal distribution fits the growth rate well.

2014 ◽  
Vol 7 (4) ◽  
pp. 55
Author(s):  
Till D. Frank

In the literature, self-organizing physical and chemical systems have been proposed as candidates for physical intelligent systems that may solve problems in the field of artificial intelligent in a non-algorithmic way that is not based on computation. In this theoretical study, decision-making in such physical intelligent systems is discussed in terms of non-equilibrium transitions between two self-organized states. The control parameter driving the non-equilibrium transitions is related to two growth rate factors. It is shown for a particular non-equilibrium system that the decision-making process satisfies the principle of selecting the state with the fastest growth rate factor. The system under consideration is a two component gas discharge system whose current flows can be described by means of an electronic blueprint.


2000 ◽  
Vol 10 (12) ◽  
pp. 2669-2687 ◽  
Author(s):  
JOHN GUCKENHEIMER ◽  
KATHLEEN HOFFMAN ◽  
WARREN WECKESSER

Singularly perturbed systems of ordinary differential equations arise in many biological, physical and chemical systems. We present an example of a singularly perturbed system of ordinary differential equations that arises as a model of the electrical potential across the cell membrane of a neuron. We describe two periodic solutions of this example that were numerically computed using continuation of solutions of boundary value problems. One of these periodic orbits contains canards, trajectory segments that follow unstable portions of a slow manifold. We identify several mechanisms that lead to the formation of these and other canards in this example.


1988 ◽  
Vol 111 (2) ◽  
pp. 363-368 ◽  
Author(s):  
F. Ruvuna ◽  
T. C. Cartwright ◽  
H. Blackburn ◽  
M. Okeyo ◽  
S. Chema

SummaryData on gestation period of 701 indigenous East African and Galla does and pre- and postweaning growth of 810 pure-bred and cross-bred kids were analysed by least squares statistical analysis. Breeds of kids were East African, Galla, Toggenburg × East African, Toggenburg × Galla, Anglo-Nubian × East African and Anglo-Nubian × Galla. Average gestation length was 149 days and was significantly (P < 0·05) affected by type of birth of the kid, year–month of kidding, and age of dam. Does carrying twins had shorter gestation length than does carrying singles. Sex and breed of kid did not have significant effect on gestation length.Significant (P < 0·05) factors affecting birth weight, weight at 30, 60, 90, 120, 150, 210 and 270 days of age, and preweaning growth rate were breed and sex of kid, type of birth, year–month and age of dam. Male kids grew faster and were heavier than females. Kids born single were heavier and grew faster than twin-born kids. Kids from dams less than 3 years old weighed less than kids from older dams. Cross-bred kids had higher preweaning growth rates than indigenous pure-bred kids. The Anglo-Nubian × Galla cross was heaviest while the East African ranked lowest. The results point to importance of cross-breeding with temperate breeds to increase growth rates of indigenous goats. Comparison of Toggenburg and Anglo-Nubian sires for cross-breeding showed both buck breeds produced kids with roughly equal growth rates. Evaluation of indigenous Galla and East African dams for cross-breeding showed Galla dams produced heavier kids than East African but preweaning growth rates were not significantly different.


2009 ◽  
Vol 12 (3) ◽  
pp. 241-250 ◽  
Author(s):  
Petra Claeys ◽  
Ann van Griensven ◽  
Lorenzo Benedetti ◽  
Bernard De Baets ◽  
Peter A. Vanrolleghem

Mathematical models provide insight into numerous biological, physical and chemical systems. They can be used in process design, optimisation, control and decision support, as acknowledged in many different fields of scientific research. Mathematical models do not always yield reliable results and uncertainty should be taken into account. At present, it is possible to identify some factors contributing to uncertainty, and the awareness of the necessity of uncertainty assessment is rising. In the fields of Environmental Modelling and Computational Fluid Dynamics, for instance, terminology related to uncertainty exists and is generally accepted. However, the uncertainty due to the choice of the numerical solver and its settings used to compute the solution of the models did not receive much attention in the past. A motivating example on the existence and effect of numerical uncertainty is provided and clearly shows that we can no longer ignore it. This paper introduces a new terminology to support communication about uncertainty caused by numerical solvers, so that scientists become perceptive to it.


2021 ◽  
Vol 40 (3) ◽  
pp. 80-96
Author(s):  
Vicentiu Covrig ◽  
Daniel McConaughy ◽  
Adam Newman ◽  
Pavan Kumar Nadiminti ◽  
Mary Ann K. Travers

This article presents the first detailed statistical analysis of the volatilities of various commonly encountered financial metrics used in contingent consideration (and earn-out) agreements. The valuation of contingent consideration using an option-based methodology and non-equity volatilities is becoming more common in business valuation. We provide clear evidence that the volatility of five financial metrics—revenue; earnings before interest, taxes, depreciation, and amortization (EBITDA); EBIT, net income, and total assets—is strongly, negatively related to firm size and profitability. However, contrary to common belief, the volatility of these metrics is not related to a firm's financial leverage. We also calculated the volatilities using four different methodologies that are employed in practice. Although no theory guides the selection of methodologies, based upon our work, we have found that the year-over-year growth rate, using a quarterly frequency, provides the most reasonable results.


1980 ◽  
Vol 20 (4) ◽  
pp. 389-396 ◽  
Author(s):  
Christopher Cox ◽  
Henry T. Davis ◽  
Morton W. Miller ◽  
Dominique Robertson

2020 ◽  
Vol 1489 ◽  
pp. 012036
Author(s):  
F Mohamad Hamzah ◽  
S Bahari ◽  
H Tajudin ◽  
SM Syed Abdullah ◽  
K N Abdul Maulud ◽  
...  

2019 ◽  
Vol 4 (1) ◽  
Author(s):  
Amir Pasha Motamed ◽  
Behnam Bahrak

AbstractCryptocurrencies as a new way of transferring assets and securing financial transactions have gained popularity in recent years. Transactions in cryptocurrencies are publicly available, hence, statistical studies on different aspects of these currencies are possible. However, previous statistical analysis on cryptocurrencies transactions have been very limited and mostly devoted to Bitcoin, with no comprehensive comparison between these currencies. In this study, we intend to compare the transaction graph of Bitcoin, Ethereum, Litecoin, Dash, and Z-Cash, with respect to the dynamics of their transaction graphs over time, and discuss their properties. In particular, we observed that the growth rate of the nodes and edges of the transaction graphs, and the density of these graphs, are closely related to the price of these currencies. We also found that the transaction graph of these currencies is non-assortative, i.e. addresses do not tend for transact with a particular type of addresses of higher or lower degree, and the degree sequence of their transaction graph follows the power law distribution.


Author(s):  
V. I. Evdokimov ◽  
V. F. Glukhov

Relevance. To improve the quality of publications while maintaining their growth rate, employees of the Ministry of Science and Higher Education of Russia have approved a methodology for assessing the integrated score of publication performance of organizations.Intention. Analysis of the integrated score of publication performance of the leading educational and scientific organizations of the Russian Emergencies Ministry for 10 years (2010–2019).Methodology. The object of the study was the annual indicators of the integrated score of publication performance of the Russian Emercom as calculated by the staff of the Scientific Electronic Library [https://www.elibrary.ru/].Results and Discussion. A low average annual integrated score of publication performance was revealed in the Emercom of Russia. For an educational organization in the Russian Emercom, it amounted to (55.67 ±5.8) points, for a research organization – (29.0 ± 1.5) points (p < 0.01). The average annual integrated score of publication performance for the same period at Omsk State Technical University turned out to be 6 times higher (306.4 ± 19.0) than the average for educational institutions of the Russian EMERCOM (p < 0.001). It turned out that the EMERCOM of Russia had few highly rated publications on computer and information sciences, physical and chemical branches of knowledge, and quite a lot of publications on social sciences. Most likely, the latter are not a priority in the state assignment for research and development of the EMERCOM of Russia. Shown are the ways to increase the integrated score of publication performance of the EMERCOM of Russia organizations.Conclusion. The slogan of researchers “print or die” in modern conditions is becoming less and less relevant. Russian and world science were flooded with insignificant and sometimes false publications. The fractional calculation of the integrated score of publication performance will make the authors think before including anyone in gift co-authorship or creating “fake” affiliations. This methodology will help improve the quality of domestic publications, and printing weak articles will become irrelevant.


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