English

The volume of a soliton

High Energy Physics - Theory 2016-04-26 v2 Mathematical Physics math.MP

Abstract

There exists, in general, no unique definition of the size (volume, area, etc., depending on dimension) of a soliton. Here we demonstrate that the geometric volume (area etc.) of a soliton is singled out in the sense that it exactly coincides with the thermodynamical or continuum-mechanical volume. In addition, this volume may be defined uniquely for rather arbitrary solitons in arbitrary dimensions.

Keywords

Cite

@article{arxiv.1511.01104,
  title  = {The volume of a soliton},
  author = {C. Adam and M. Haberichter and A. Wereszczynski},
  journal= {arXiv preprint arXiv:1511.01104},
  year   = {2016}
}

Comments

16 pages, LaTex, no figures; published version; a discussion section and some references added