April 14, 2024
Mohammad Mohammadi

Mohammad Mohammadi

Academic Rank: Assistant professor
Degree: Ph.D in physic
Phone: 09171021581
Faculty: Faculty of Nano and Biotechnology


Title Kink-antikink collisions in the periodic 4 model
Type Article
Journal Communications in Nonlinear Science and Numerical Simulation
Researchers Mohammad Mohammadi (First researcher) , Rayhaneh Dehghani (Second researcher)


We borrow the form of potential of the well-known kink-bearing $\varphi^4$ system in the range between its two vacua and paste it repeatedly into the other ranges to introduce the periodic $\varphi^4$ 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.