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Universality in spectral condensation.

Induja Pavithran1, Vishnu R Unni2, Alan J Varghese3

  • 1Department of Physics, Indian Institute of Technology Madras, Chennai, 600036, India.

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|October 16, 2020
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Summary
This summary is machine-generated.

Complex systems exhibit spectral condensation, where energy concentrates into a dominant frequency mode during self-organization. This study quantifies this phenomenon across fluid, optical, and electronic systems, revealing an inverse power law relationship.

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Area of Science:

  • Physics
  • Complex Systems
  • Non-equilibrium Dynamics

Background:

  • Self-organization drives pattern formation in systems far from equilibrium.
  • Energy distribution in complex systems often broadens across frequencies.
  • Condensation of energy into dominant modes is observed but not fully characterized.

Purpose of the Study:

  • To introduce and define 'spectral condensation' as a quantifiable phenomenon in self-organizing systems.
  • To investigate the occurrence and characteristics of spectral condensation in diverse dynamical systems.
  • To identify universal mathematical relationships governing spectral condensation.

Main Methods:

  • Defining novel spectral measures to quantify energy condensation.
  • Analyzing power spectra across fluid mechanical, optical, and electronic systems.
  • Investigating the relationship between spectral measures and dominant peak power.

Main Results:

  • Spectral condensation was observed across fluid, optical, and electronic systems.
  • A consistent inverse power law relationship was identified between spectral measures and dominant peak power.
  • The findings suggest a universal behavior in energy condensation during self-organization.

Conclusions:

  • Spectral condensation is a fundamental aspect of self-organization in complex systems.
  • The identified inverse power law provides a unifying principle for energy condensation.
  • This work offers a new framework for analyzing pattern formation in non-equilibrium systems.