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

2016/08/05 by Alidad Askari, Danial Saadatmand, Askari, Alidad +5
Medicine · #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #Urologic and reproductive health conditions

paper · pdf · doi:10.48550/arxiv.1608.01847

openalex publication_date 2016/08/05 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

The maximal energy density that can be achieved in the collisions of the\nparticle-like wave trains in the \φ⁴ model has been investigated\nnumerically for different wave train parameters. From these results the\nprediction is made on how many kink-antikink pairs can be produced in wave\ntrain collisions taking into account that in collision of N kinks maximal\nenergy density is equal to N²/2 for even N. Our numerical results are in a\nreasonably good agreement with the predicted maximal number of kink-antikink\npairs formed in wave train collisions.\n

Related

• Some Recent Developments on Kink Collisions and Related Topics
• Radiation-like Shock Waves in Kink Scattering
• Kinks in the Hartree approximation
• A note about a new class of two-kinks
• ϕ⁴ Solitary Waves in a Parabolic Potential: Existence, Stability, and Collisional Dynamics