1 research outputs found
Extreme values of elastic strain and energy in sine-Gordon multi-kink collisions
In our recent study the maximal values of kinetic and potential energy
densities that can be achieved in the collisions of slow kinks in the
sine-Gordon model were calculated analytically (for , and 3) and
numerically (for ). However, for many physical applications it is
important to know not only the total potential energy density but also its two
components (the on-site potential energy density and the elastic strain energy
density) as well as the extreme values of the elastic strain, tensile
(positive) and compressive (negative). In the present study we give (i) the two
components of the potential energy density and (ii) the extreme values of
elastic strain. Our results suggest that in multi-soliton collisions the main
contribution to the potential energy density comes from the elastic strain, but
not from the on-site potential. It is also found that tensile strain is usually
larger than compressive strain in the core of multi-soliton collision.Comment: 9 pages, 6 figures. arXiv admin note: text overlap with
arXiv:1605.0976