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Kink scattering in deformed φ^{6} model.

Aliakbar Moradi Marjaneh1, Azam Ghaani1, Kurosh Javidan1

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Summary

This study introduces a deformed phi^6 model, analyzing kink solutions and their dynamics. The model exhibits properties from both phi^4 and phi^6 potentials, with scattering outcomes dependent on initial velocity and a deformation parameter.

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Area of Science:

  • Theoretical Physics
  • Nonlinear Dynamics
  • Condensed Matter Theory

Background:

  • The standard phi^4 model is a fundamental tool in quantum field theory and statistical mechanics.
  • Investigating extensions of scalar field models, such as phi^6, is crucial for understanding complex phenomena.
  • Kink solutions represent stable topological defects in certain field theories.

Purpose of the Study:

  • To introduce and analyze a deformed phi^6 model using a deformation functional.
  • To investigate the kink solutions, their internal modes, and their dependence on a deformation parameter.
  • To study the dynamics of kink-antikink scattering in the deformed model.

Main Methods:

  • Deformation of the standard phi^4 model using a functional f[phi] with parameter 'a'.
  • Analytical derivation of kink solutions and their internal modes.
  • Numerical simulations of kink-antikink scattering with varying initial conditions and deformation parameters.

Main Results:

  • Kink solutions in the deformed phi^6 model inherit properties from both phi^4 and phi^6 potentials.
  • Internal modes of kinks are functions of the deformation parameter.
  • Kink-antikink scattering outcomes (bound states or scattering) depend on initial velocity and the deformation parameter, with a critical velocity identified.

Conclusions:

  • The deformed phi^6 model offers a richer phenomenology compared to standard models.
  • The deformation parameter provides a tunable knob to modify kink properties and scattering dynamics.
  • The study highlights the importance of considering deformed potentials for understanding defect dynamics in physical systems.