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SUMMARY:Kinks in the relativistic model with logarithmic nonlinearity
DTSTART;VALUE=DATE-TIME:20181022T124000Z
DTEND;VALUE=DATE-TIME:20181022T151000Z
DTSTAMP;VALUE=DATE-TIME:20200606T115403Z
UID:indico-contribution-1262@cern.ch
DESCRIPTION:Speakers: Vakhid Gani (National Research Nuclear University ME
PhI (Moscow Engineering Physics Institute)\, 115409 Moscow\, Russia)\nWe s
tudy the properties of a certain class of solutions of a relativistic mode
l with the logarithmic nonlinearity. We show that such a model have two ty
pes of solutions: topologically trivial (gaussons) and topologically non-t
rivial (kinks). For the kink-antikink scattering\, we have found a critica
l value of the initial velocity $v_\\mathrm{cr}$\, which separates two dif
ferent scenarios of scattering. At the initial velocities $v_\\mathrm{in}
v_\\mathrm{cr}$\, the kinks collide\, bounce and eventually escape to inf
inities. During this process\, the higher initial velocity is\, the greate
r is the elasticity of the collision. We also study excitation spectrum of
the kink solution.\n\nhttps://indico.particle.mephi.ru/event/22/contribut
ions/1262/
LOCATION:Hotel Intourist Kolomenskoye 4* Petrovskiy hall
URL:https://indico.particle.mephi.ru/event/22/contributions/1262/
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