EPJ Plus Focus Point - Modelling Complex Real-World Problems with Fractal and New Trends of Fractional Differentiation
- Published on Tuesday, 14 August 2018 13:40
Differential operators with non-singular kernels have been suggested recently and have raised interest in many fields of science, technology and engineering. They have being recognized to have brought news tools in applied mathematics and other applied sciences, as they are able to capture and observe a more complex physical behavior of nature. One of their unique properties is crossover behavior; in particular, their ability to capture Brownian motion, stochastic processes, anomalous diffusion and power-law dependency processes. This Focus Point on Modelling Complex Real-World Problems with Fractal and New Trends of Fractional Differentiation edited by A. Atangana, Z. Hammouch, G. Mophou and K. M. Owolabi in EPJ Plus aims at capturing current developments and initiatives of these new mathematical tools in modeling real-world problems. It focuses on new numerical and analytical methods for solving the complex real-world problems arising in physics. Several new results were presented and published in this Focus Point. In particular, a revolutionary paper has led to the extension of the field of non-local operators and their applications. The particular attention devoted to these new mathematical tools leaves no doubt on the fact that the future of modeling real-worl problems relies on these operators.
- Published on Tuesday, 31 July 2018 08:15
Physicists develop improved algorithms for simulating how complex molecules respond to excitation by photons, and explaining what happens when photons hit our eyes
What makes it possible for our eyes to see? It stems from a reaction that occurs when photons come into contact with a protein in our eyes, called rhodopsin, which adsorbs the photons making up light. In a paper published in EPJ B, Federica Agostini, University Paris-Sud, Orsay, France, and colleagues propose a refined approximation of the equation that describes the effect of this photo-excitation on the building blocks of molecules. Their findings also have implications for other molecules, such as azobenzene, a chemical used in dyes. The incoming photon triggers certain reactions, which can result, over time, in dramatic changes in the properties of the molecule itself. This study was included in a special anniversary issue of EPJB in honour of Hardy Gross.
- Published on Tuesday, 24 July 2018 17:04
Dr Valerio Lucarini, professor of Statistical Mechanics at the Department of Mathematics and Statistics, Reading https://www.reading.ac.uk/maths-and-stats/, and director of the Mathematics for Planet Earth Centre https://www.reading.ac.uk/maths-and-stats/research/mathematics-of-planet-earth/Centre-for-the-Mathematics-of-Planet-Earth.aspx was one of 6 winners of the Whitehead Prize announced on 29th June 2018 by the London Mathematical Society (LMS), and was awarded with this prize for his work in statistical physics to the theory and modelling of climate dynamics, along with his pioneering leadership in mathematics applied to climate science.