Fractals in kink-antikink interactions in {lambda}{phi}{sup 4} field theory

Title: Fractals in kink-antikink interactions in {lambda}{phi}{sup 4} field theory

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Abstract

Resonance structures are known to exist in kink-antikink (K{tilde K}) interactions in {lambda}{phi}{sup 4} field theory. Further investigations showed that the answer to the question whether K{tilde K} interaction leads to the formation of a bound state depends in a fractal manner on the initial velocity. It is shown here that such behavior in K{tilde K} interaction is possible only in the absence of radiation. However, if the method of collective coordinates is used to reduce the infinite-dimensional system to a system with a finite number of degrees of freedom, a structure that is fractal in the parameter of the initial velocity may be realized. 9 refs.

Authors:

Belova, T I ^[1]

Institute of Theoretical and Experimental Physics, Moscow (Russian Federation)

Publication Date:: 1995-01-01

OSTI Identifier:: 81245

Resource Type:: Journal Article

Journal Name:: Physics of Atomic Nuclei

Additional Journal Information:: Journal Volume: 58; Journal Issue: 1; Other Information: PBD: Jan 1995; TN: Translated from Yadernaya Fizika; 58: No. 1, 130-131(1995)

Country of Publication:: United States

Language:: English

Subject:: 66 PHYSICS; PHI4-FIELD THEORY; RESONANCE; BOUND STATE; FRACTALS

Citation Formats


                    Belova, T I. Fractals in kink-antikink interactions in {lambda}{phi}{sup 4} field theory.  United States: N. p., 1995. 
        Web.

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                    Belova, T I. Fractals in kink-antikink interactions in {lambda}{phi}{sup 4} field theory.  United States.

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                    Belova, T I. Sun .  
        "Fractals in kink-antikink interactions in {lambda}{phi}{sup 4} field theory".  United States.

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@article{osti_81245,

  title        = {Fractals in kink-antikink interactions in {lambda}{phi}{sup 4} field theory},

  author       = {Belova, T I},

  abstractNote = {Resonance structures are known to exist in kink-antikink (K{tilde K}) interactions in {lambda}{phi}{sup 4} field theory. Further investigations showed that the answer to the question whether K{tilde K} interaction leads to the formation of a bound state depends in a fractal manner on the initial velocity. It is shown here that such behavior in K{tilde K} interaction is possible only in the absence of radiation. However, if the method of collective coordinates is used to reduce the infinite-dimensional system to a system with a finite number of degrees of freedom, a structure that is fractal in the parameter of the initial velocity may be realized. 9 refs.},

  doi          = {},

  url          = {https://www.osti.gov/biblio/81245},
  journal      = {Physics of Atomic Nuclei},
number       = 1,

  volume       = 58,

  place        = {United States},

  year         = {1995},

  month        = {1}

}

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