New model of heat transfer in crystals developed
The distribution of heat in nanostructures is not regulated by the laws applied to conventional materials. This effect is most vividly expressed in the reaction between graphene and a laser-generated heat point source. Graphene is a 2-D crystal made of carbon atoms. The material looks like a thin grid or a honeycomb. However, it is quite stable and has very high heat and electrical conductivity due to which it is widely used in electrical engineering. The discoverers of this unique crystal were awarded the Nobel Prize in Physics in 2010.
Scientists at SPbPU considered an infinite crystal consisting of identical particles obeying classical Newtonian equations of motion. Graphene-based technologies are rarely used in a vacuum, so the team also took into account the effect of the environment (gas or liquid). This adjustment has a considerable impact on the model as a part of heat is spent on warming up the environment. Finally, the team derived an analytical solution describing heat transfer. To describe the processes that happen in the material, the scientists obtained simple equations and confirmed them with numerical data generated in the model for different distances from the heat source. Using the developed model, the team observed that a crystal has certain directions along which the heat rays distribute the major part of the energy. Currently the authors are preparing for an experiment to confirm their theoretical conclusions with actual heat processes in a graphene crystal.
"Our results may be widely used for investigation of heat transfer in micro- and nanoprocessors. It is of great importance for the development of a new generation high performance computers. Our analytical approach can be applied to a wide range of ultrapure materials such as graphene," concluded Anton KRIVTSOV, corresponding member of the Russian Academy of Sciences, the Head of the Higher School "Theoretical Mechanics," Director of Research & Education Center "Gaspromneft-Polytech" at Peter the Great St. Petersburg Polytechnic University.
O. S. Loboda et al, Thermal processes in a one-dimensional crystal with regard for the second neighbor interaction, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (2019). DOI: 10.1002/zamm.201900008
Provided by Peter the Great Saint-Petersburg Polytechnic University