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Domain wall dynamics in expanding spaces.

Francisco J Cao1, Elías Zamora-Sillero, Niurka R Quintero

  • 1Departamento de Física Atómica, Molecular y Nuclear, Universidad Complutense de Madrid, Spain. franco@fis.ucm.es

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 29, 2006
PubMed
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Space expansion and contraction can control kink propagation velocity. Fast changes cause energy loss and slower kink movement, as shown in nonlinear Klein-Gordon equations.

Area of Science:

  • Nonlinear dynamics
  • Theoretical physics

Background:

  • Kink dynamics are crucial in various physical systems.
  • Understanding how external factors influence kinks is essential.

Purpose of the Study:

  • To investigate the impact of spatial expansions and contractions on kink dynamics.
  • To analyze both adiabatic and non-adiabatic regimes of kink behavior.

Main Methods:

  • Numerical simulations of nonlinear Klein-Gordon equations (sine-Gordon and potential).
  • Development and application of collective coordinate evolution equations for kink width and center of mass.
  • Analysis of energy loss through radiation in fast expansion-contraction cycles.

Main Results:

  • Kink propagation velocity can be tuned adiabatically via slow spatial changes.

Related Experiment Videos

  • Kink width is determined by its velocity.
  • Fast expansion-contraction cycles lead to energy loss and reduced kink speed.

    • Conclusions:

    • Spatial dynamics offer a method to control kink propagation.
    • Collective coordinate equations provide a robust framework for analyzing kink behavior under large spatial deformations.