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High energy density spots and production of kink-antikink pairs in particle collisions

The maximal energy density that can be achieved in the collisions of the particle-like wave trains in the $ϕ^4$ model has been investigated numerically for different wave train parameters. From these results the prediction is made on how many kink-antikink pairs can be produced in wave train collisions taking into account that in collision of $N$ kinks maximal energy density is equal to $N^2/2$ for even $N$. Our numerical results are in a reasonably good agreement with the predicted maximal number of kink-antikink pairs formed in wave train collisions.