2019/08/14 by Kumar, Pradeep, Khare, Avinash, Saxena, Avadh
#FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS)
paper · doi:10.48550/arxiv.1908.04978
We study a (1+1)-dimensional field theory based on (ψln ψ)2 potential. There are three degenerate minima at ψ= 0 and ψ=±1. There are novel, asymmetric kink solutions of the form ψ= ∓exp (-exp(± x)) connecting the minima at ψ= 0 and ψ= ∓ 1. The domains with ψ= 0 repel the linear excitations, the waves (e.g. phonons). Topology restricts the domain sequences and therefore the ordering of the domain walls. Collisions between domain walls are rich for properties such as transmission of kinks and particle conversion, etc. To our knowledge this is the first example of kinks with super-exponential profiles and super-exponential tails. Finally, we provide a comparison of these results with the ϕ6 model and its half-kink solution.