Samara Polytech scientists has developed a new concept of mathematical modeling

December 30, 2019

A team of scientists from the Research Center "Fundamental Problems of Thermophysics and Mechanics" of the Samara Polytech is engaged in the construction of new mathematical models and the search for methods for their study in relation to a wide range of locally nonequilibrium transport processes in various physical systems. An innovative approach developed not so long ago is based on a modern version of third-generation thermodynamics. The project of scientists "Development, theoretical research and experimental verification of mathematical models of oscillatory processes, heat and mass transfer and thermomechanics with two- and multiphase delays" was among the winners of the RFBR contest. Recent research results are published in the journal Physica A: Statistical Mechanics and its Applications.

An interest in studying locally nonequilibrium processes that take into account the specifics of transport processes at the molecular level (the mean free path of a molecule, the momentum transfer rate, relaxation time, etc.) is dictated by the need to conduct various physical processes under extreme conditions, for example, femtosecond concentrated exposure to energy flows on matter, ultra-low and ultra-high temperatures and pressures, shock waves, etc. Such physical processes are widely used to create new technologies for producing nanomaterials and coatings with unique physicochemical properties that cannot be obtained by traditional methods (binary and multicomponent metal alloys, ceramics, polymeric materials, metal and semiconductor glasses, nanofilms, graphene, composite nanomaterials, etc.).

- Classical thermodynamics is not suitable for describing processes that occur under locally nonequilibrium conditions, since it is based on the principle of local equilibrium. Our project is important both for fundamental science and for practical applications, "explains the project manager, Professor Igor Kudinov. - To accomplish the tasks we plan to create a new, unparalleled software package designed for 3D modeling of high-speed locally nonequilibrium processes of heat, mass and momentum transfer. Thus, our method opens up wide possibilities for studying processes that are practically significant from the point of view of modern nanotechnology.
For reference:

The Center "Fundamental Problems of Thermophysics and Mechanics" was established on the basis of the Samara Polytechnic in 2018 with the aim of raising the level of fundamental scientific research in the field of theoretical materials science, mathematical modeling of locally nonequilibrium processes of heat, mass, momentum and electromagnetic vibration transfer.

Samara Polytech is a Flagship university, a powerful research and educational center and a leader in the preparation of elite engineering personnel. Scientists guide research and development in almost all strategic sectors: Petrochemistry, Oil and Gas Production and Processing, Energy, Information, Pharmaceutical and Food Technologies, Construction and Architecture. In addition, the university actively participates in the State Armament Program, in solving strategic problems of the region and implementing significant projects of federal significance. University graduates are famous Russian scientists, government officials, leaders of leading companies.

Samara Polytech (Samara State Technical University)

Related Mathematical Models Articles from Brightsurf:

A new mathematical front to understand species coexistence
In an effort to understand how different species coexist, researchers develop a mathematical model that establishes interactions in co-colonization as the key.

How genetic variation gives rise to differences in mathematical ability
DNA variation in a gene called ROBO1 is associated with early anatomical differences in a brain region that plays a key role in quantity representation, potentially explaining how genetic variability might shape mathematical performance in children, according to a study published October 22nd in the open-access journal PLOS Biology by Michael Skeide of the Max Planck Institute for Human Cognitive and Brain Sciences, and colleagues.

Mathematical modelling to prevent fistulas
It is better to invest in measures that make it easier for women to visit a doctor during pregnancy than measures to repair birth injuries.

New mathematical tool can select the best sensors for the job
In the 2019 Boeing 737 Max crash, the recovered black box from the aftermath hinted that a failed pressure sensor may have caused the ill-fated aircraft to nose dive.

The mathematical values of Linear A fraction signs
A recent study by a team based at the University of Bologna, published in the Journal of Archaeological Science, has shed new light on the Minoan system of fractions, one of the outstanding enigmas tied to the ancient writing of numbers.

The mathematical magic of bending grids
A mathematical discovery opens up new possibilities for architecture and design: For any desired curved surface a flat grid of straight bars can be calculated that can be folded out to the desired curved structure.

An ant-inspired approach to mathematical sampling
In a paper published by the Royal Society, a team of Bristol researchers observed the exploratory behaviour of ants to inform the development of a more efficient mathematical sampling technique.

New mathematical model can more effectively track epidemics
As COVID-19 spreads worldwide, leaders are relying on mathematical models to make public health and economic decisions.

Mathematical model could lead to better treatment for diabetes
MIT researchers have developed a mathematical model that can predict the behavior of glucose-responsive insulin in humans and in rodents.

New mathematical model for amyloid formation
Scientists report on a mathematical model for the formation of amyloid fibrils.

Read More: Mathematical Models News and Mathematical Models Current Events is a participant in the Amazon Services LLC Associates Program, an affiliate advertising program designed to provide a means for sites to earn advertising fees by advertising and linking to