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Anti-parity-time symmetry in diffusive systems.

Ying Li1, Yu-Gui Peng1,2, Lei Han1,3

  • 1Department of Electrical and Computer Engineering, National University of Singapore, Singapore 117583, Singapore.

Science (New York, N.Y.)
|April 13, 2019
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Summary
This summary is machine-generated.

Researchers explore anti-parity-time symmetry in diffusive systems, specifically heat transfer. This symmetry breaking leads to a phase transition in temperature profiles, extending parity-time concepts beyond wave physics.

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Area of Science:

  • Thermodynamics and Statistical Mechanics
  • Non-Hermitian Physics
  • Transport Phenomena

Background:

  • Parity-time (PT) symmetry and its extension, anti-parity-time (APT) symmetry, are crucial in wave physics, particularly in systems with gain and loss.
  • Wave systems are typically modeled using Hermitian operators, but non-Hermitian aspects introduce unique properties.
  • The application of these symmetries has been largely confined to wave dynamics.

Purpose of the Study:

  • To investigate the applicability of parity-time and anti-parity-time symmetry concepts to diffusive systems, beyond traditional wave physics.
  • To analyze heat transfer in countermoving media and identify the presence of anti-parity-time symmetry.
  • To explore the implications of spontaneous symmetry breaking in these diffusive systems.

Main Methods:

  • Theoretical analysis of heat transfer dynamics in two countermoving media.
  • Mathematical modeling to demonstrate the emergence of anti-parity-time symmetry.
  • Investigation of phase transitions resulting from spontaneous symmetry breaking.

Main Results:

  • The studied system of heat transfer in countermoving media exhibits anti-parity-time symmetry.
  • Spontaneous symmetry breaking leads to a distinct phase transition in temperature profiles.
  • The transition shifts temperature profiles from a motionless state to a moving state, despite background mechanical motion.

Conclusions:

  • The concepts of parity-time symmetry can be successfully extended beyond wave physics into diffusive dynamics.
  • The findings demonstrate a novel application of anti-parity-time symmetry in understanding heat and mass transport.
  • This research opens new avenues for manipulating transport phenomena using principles derived from non-Hermitian physics.