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

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:
 [1]
  1. Institute of Theoretical and Experimental Physics, Moscow (Russian Federation)
Publication Date:
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.
Belova, T I. Fractals in kink-antikink interactions in {lambda}{phi}{sup 4} field theory. United States.
Belova, T I. Sun . "Fractals in kink-antikink interactions in {lambda}{phi}{sup 4} field theory". United States.
@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}
}