Kink-antikink collisions in the periodic φ4 model

We borrow the form of potential of the well-known kink-bearing phi(4) system in the range between its two vacua and paste it repeatedly into the other ranges to introduce the periodic phi(4) system. The paper is devoted to providing a comparative numerical study of the properties of the two systems. Although the two systems are quite similar for a kink (antikink) solution, they usually exhibit different behaviors throughout collisions. For instance, they have different critical velocities, different results during collisions, and a different rule in their quasi-fractal structures. Their quasi-fractal structures will be studied in the disturbed kink-antikink collisions as well. Hence, three types of scattering windows will be introduced with respect to the incoming speed, the amplitude, and initial phase of the internal mode, respectively. Moreover, a detailed comparative study of the collisions between two kinks and one antikink will be done at the end. (C) 2020 Elsevier B.V. All rights reserved.

Automated summary

This paper presents a comparative numerical study of the periodic phi(4) system and its different behaviors during collisions. Although the systems are similar for kink solutions, they exhibit differences in collisions, including critical velocities, outcomes, and rules in quasi-fractal structures. Three types of scattering windows are introduced based on speed, amplitude, and initial phase, with a detailed comparison of collisions between two kinks and one antikink at the end.