Multi shocks in Reaction-diffusion models

Details Multi shocks in Reaction-diffusion models Multi shocks in Reaction-diffusion models

2006-10-09

arxiv.org/abs/cond-mat/0610243v3

Eur. Phys. J. B55, (2007) 439-446

Physics

Condensed Matter

Statistical Mechanics

17 pages, LaTeX2e, minor revision

Scientific paper

10.1140/epjb/e2007-00069-7

It is shown, concerning equivalent classes, that on a one-dimensional lattice with nearest neighbor interaction, there are only four independent models possessing double-shocks. Evolution of the width of the double-shocks in different models is investigated. Double-shocks may vanish, and the final state is a state with no shock. There is a model for which at large times the average width of double-shocks will become smaller. Although there may exist stationary single-shocks in nearest neighbor reaction diffusion models, it is seen that in none of these models, there exist any stationary double-shocks. Models admitting multi-shocks are classified, and the large time behavior of multi-shock solutions is also investigated.

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