Science, Space and Technology News 2024
Researchers from the Institute of Nuclear Physics in Cracow have applied the Doppler effect and the telegraph equation to explore heat transport in complex systems like biological tissues. Their findings suggest that heat transport can exhibit wave-like behaviors, potentially revolutionizing medical and cosmetic procedures by improving heat management techniques. Credit: SciTechDaily
When a train approaches or an ambulance with its siren blaring nears us, we hear the sound with an increased frequency, which gradually decreases. As it passes, the frequency changes abruptly to a lower one, then decreases further. This commonly encountered phenomenon, known as the Doppler effect, can offer valuable insights into a seemingly unrelated field: heat transport.Although burns are painful for everyone, they inflict a unique type of pain on physicists.
“In recent years, the skilfully generalized telegraph equation has found a new application: it has also started to be used to describe phenomena related to diffusion or heat transport. This fact spurred us on to pose an intriguing question,” says Dr. Katarzyna Gorska . “In solutions of the wave equation, i.e. without damping, the Doppler effect occurs. This is a typical wave phenomenon.
“In our approach, subordination consists of replacing uniformly elapsing physical time, in which the equations are complicated, with a certain intrinsic time associated with physical time, which we do through an appropriate function containing information about the temporal non-locality of the process. This procedure simplifies the equations into a form that makes it possible to find their solutions,” says co-author of the paper Tobiasz Pietrzak, M.
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