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30 November 2021 | Story Leonie Bolleurs | Photo Supplied
Prof Johan Meyer, Senior Professor in the Department of Mathematics and Applied Mathematics, says he is looking forward to learning from others in the field during this collaboration.

What do trees, black holes, earthquakes, and time structures have in common? 

The answer to this question is that these, in one way or the other, form the focus of some of the abstracts delivered during the Annual Congress of the South African Mathematical Society. The society has as its main objective the advancement of mathematics in South Africa. 

The Department of Mathematics and Applied Mathematics at the University of the Free State (UFS), in conjunction with the South African Mathematical Society (SAMS 2021), is hosting the 64th Annual Congress of the society this week (29 November to 1 December 2021).

Prof Johan Meyer, Senior Professor in the department, says the congress, which is being conducted online, is focusing on all aspects of mathematics research, including history and teaching.

Learning from others in the field

The congress, which aims to share the latest research results in mathematics, will be attended by staff and students from universities across South Africa as well as abroad. “Anyone from the public is, of course, welcome to attend or even share their results if they are also involved in mathematics research,” adds Prof Meyer. 

He says that he is looking forward to learning from others in the field during this collaboration. 

The congress will include discussions on more than 120 abstracts, covering category theory, algebra, topology, logic; functional analysis and operator theory; finite groups and combinatorial structures; graph theory and combinatorics; lie symmetries and nonlinear differential equations; and applied and numerical mathematics.

Array of interesting topics presented

“It is important in many areas of science and engineering to predict and to simulate rare, random events, the occurrence of which may have negative or even catastrophic consequences. Examples include internet server overflows, mechanical breakdowns, floods, and financial crashes. Rare events can also have a positive effect, triggering for example chemical reactions or driving genetic evolution via random mutations.” Prof Hugo Touchette from Stellenbosch University will be shedding some light on this interesting topic in his presentation on Predicting and simulating rare events.

Prof Jeandrew Brink, Associate Professor in the Department of Mathematics and Applied Mathematics at the UFS, is presenting a plenary session on the topic Determining the geometry of strong field space-times in spite of tacitly assuming the answer during every measurement. In South Africa, state-of-the art pulsar timing data from the MeerKAT telescope will make a considerable contribution to conducting GR orbital tests. Prof Brink comments on how pulsar timing tests differ from tests using gravitational wave detectors, as well as what we can learn from the framework already employed to perform pulsar timing measurements.

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Discovery in Scorpius constellation may signify clean energy for Earth
2017-01-23

 Description: Discovery in Scorpius constellation may signify clean energy for Earth Tags: Discovery in Scorpius constellation may signify clean energy for Earth

Earlier this year, a group of international astronomers
announced the discovery of an exotic binary star system,
AR Scorpii. The system is in the Scorpius constellation.
Photos: Supplied

See article on Nature’s website 

In future, stargazers and astronomers will look at the Scorpius constellation near the Milky Way with new eyes. Earlier this year, a group of international astronomers announced the discovery of an exotic binary star system, AR Scorpii. The system is in the Scorpius constellation.

Prof Pieter Meintjes, researcher in the Department of Physics at the University of the Free State (UFS), worked with four colleagues on what he describes as a “wonderful discovery”. This sensational discovery, which could lead to the production of cleaner energy on Earth, will be published in the research journal, Nature, early in 2017.

Model developed to interpret new set of measurements
The exotic binary star which was discovered consists of a red dwarf and a white dwarf revolving around each other every 3,5 hours. The binary system showed very prominent pulsations of 117 and 118 seconds respectively. The pulsations can be explained by a bundle radiation produced by the white dwarf star.

“These new observations have shown that the radiation is strongly polarised, a sign that we are dealing with synchrotron radiation here. Synchrotron radiation is produced by electrons accelerated to extremely high energy levels in the magnetic field of the white dwarf star,” says Prof Meintjes.

He developed a theoretical model to interpret a new set of measurements that was taken by the 1,9 m telescope and the 10 m SALT telescope at the South African Astronomical Observatory (SAA0).

Totally unique phenomenon could contribute to energy production on Earth
“I further indicated that the interaction between the magnetic fields of the white dwarf star and the red dwarf star induces secondary processes that specifically describe the behaviour of the radiation in the radio band and infrared band accurately. AR Sco is the first white-red dwarf binary system of which all the pulsated radiation could be explained by the synchrotron process, which is totally unique,” says Prof Meintjes.

According to Prof Meintjes, the value of the model lies in the fact that the processes which produce the radiation in AR Sco, can also be applied to produce energy on Earth.

 

Plasma reactors are based on roughly the same processes which apply in AR Sco, and with refining, it could be utilised to generate electricity in future. This will be much cleaner than nuclear energy.

 

The model developed by Prof Meintjes explains all the radiation in the system – from radio waves to X-rays – in terms of electrons accelerated to extremely high energy levels by electric fields in the system, which then produce synchrotron radiation over a very wide band of the electromagnetic spectrum.

Prof Meintjes is currently working on a follow-up article examining the evolution of the AR Sco, in other words, the origin of such a unique system and the final state towards which it is evolving. “My vision for the immediate future is therefore to develop a model for the evolution of the source concerned,” he says.

 

 

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