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Attractor-driven matter.

R N Valani1, D M Paganin2

  • 1School of Mathematical Sciences, University of Adelaide, South Australia 5005, Australia.

Chaos (Woodbury, N.Y.)
|March 1, 2023

View abstract on PubMed

Summary
This summary is machine-generated.

This study introduces "attractor-driven matter," where particles possess internal complexity modeled by strange attractors. This novel approach uses attractors to drive complex dynamics, offering new perspectives in physics.

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Area of Science:

  • Nonlinear Dynamics
  • Complex Systems
  • Theoretical Physics

Background:

  • Classical particle systems use position and momentum.
  • Non-pointlike particles require internal state coordinates, often from symmetry groups.
  • Strange attractors are known in nonlinear dynamics.

Purpose of the Study:

  • To explore modeling particle internal states using strange attractors.
  • To introduce a new class of matter termed "attractor-driven matter."
  • To present a general formalism for attractor-driven dynamics.

Main Methods:

  • Representing each particle's internal state space by a point on a strange attractor.
  • Developing a general mathematical formalism for this concept.
  • Exploring specific examples of attractor-driven matter.

Main Results:

  • Introduced the concept and formalism of "attractor-driven matter."
  • Demonstrated examples of this matter, some resembling active matter.
  • Showcased the use of attractors to drive, rather than emerge from, complex dynamics.

Conclusions:

  • Attractor-driven matter offers a novel framework for complex particle systems.
  • The formalism provides a method to imbue particles with internal complexity.
  • This approach has potential applications in modeling emergent behaviors in various fields.