Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Romanczukiewicz, Tomasz"'
Consider a classical (1+1)-dimensional oscillon of small amplitude $\epsilon$. To all orders in $\epsilon$, the oscillon solution is exactly periodic. We study small perturbations of such periodic configurations. These perturbations are themselves pe
Externí odkaz:
http://arxiv.org/abs/2409.15661
We investigate Q-balls in a 1+1 dimensional complex scalar field theory. We find that the relaxation of a squashed Q-ball is dominated by the decay of a normal mode through nonlinear coupling to scattering modes and a long-lasting quasi-normal mode.
Externí odkaz:
http://arxiv.org/abs/2405.06591
Publikováno v:
Phys. Rev. E 109, 014228 (2024)
In two-component non-linear Schr\"odinger equations, the force exerted by incident monochromatic plane waves on an embedded dark soliton and on dark-bright-type solitons is investigated, both perturbatively and by numerical simulations. When the inco
Externí odkaz:
http://arxiv.org/abs/2307.02925
Hertzberg has constructed a quantum oscillon that decays into pairs of relativistic mesons with a power much greater than the radiation from classical oscillon decay. This result is often construed as a proof that quantum oscillons decay quickly, and
Externí odkaz:
http://arxiv.org/abs/2305.18056
We investigate soliton collisions a one-parameter family of scalar field theories in 1+1 dimensions which was first discussed by Christ and Lee. The models have a sextic potential with three local minima, and for suitably small values of the paramete
Externí odkaz:
http://arxiv.org/abs/2304.11710
Autor:
Adam, Christoph, Halcrow, Chris, Oles, Katarzyna, Romanczukiewicz, Tomasz, Wereszczynski, Andrzej
Publikováno v:
SIGMA 19 (2023), 054, 18 pages
We apply the collective coordinate model framework to describe collisions of a kink and an antikink with nonzero total momentum, i.e., when the solitons possess different velocities. The minimal moduli space with only two coordinates (the mutual dist
Externí odkaz:
http://arxiv.org/abs/2304.07895
A spectral wall is a surface in a moduli space of classically BPS solitons where an internal excitation crosses the continuum mass threshold. It has recently been shown that spectral walls in classical field theory repel solitons whose corresponding
Externí odkaz:
http://arxiv.org/abs/2202.08249
We study kink-antikink collisions in a model which interpolates smoothly between the completely integrable sine-Gordon theory, the $\phi^4$ model, and a $\phi^6$-like model with three degenerate vacua. We find a rich variety of behaviours, including
Externí odkaz:
http://arxiv.org/abs/2106.09560
Publikováno v:
PLB 806, 135497 (2020)
We study the decay of large amplitude, almost periodic breather-like states in a deformed sine-Gordon model in one spatial dimension. We discover that these objects decay in a staggered fashion via a series of transitions, during which higher harmoni
Externí odkaz:
http://arxiv.org/abs/1910.04128
Autor:
Romanczukiewicz, Tomasz, Shnir, Yakov
We review recent works on modeling of dynamics of kinks in 1+1 dimensional $\phi^4$ theory and other related models, like sine-Gordon model or $\phi^6$ theory. We discuss how the spectral structure of small perturbations can affect the dynamics of no
Externí odkaz:
http://arxiv.org/abs/1809.04896