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Many kink solutions enjoy internal excitations, called shape modes. In some 1+1d scalar models, such as the $\phi^4$ double-well model, when a kink's shape mode is excited twice it may decay to a ground state kink plus a meson. We…

High Energy Physics - Theory · Physics 2023-01-04 Jarah Evslin , Alberto García Martín-Caro

In this paper, we study an inverse scattering problem at fixed energy on three-dimensional asymptotically hyperbolic St{\"a}ckel manifolds having the topology of toric cylinders and satisfying the Robertson condition. On these manifolds the…

Analysis of PDEs · Mathematics 2016-05-18 Damien Gobin

The energy relaxation in the spin-polarized disordered electron systems is studied in the diffusive regime. We derived the quantum kinetic equation in which the kernel of electron-electron collision integral explicitly depends on the…

Mesoscale and Nanoscale Physics · Physics 2009-04-05 N. M. Chtchelkatchev , I. S. Burmistrov

Different theoretical methods used for the description of diffractive processes in small-x deep inelastic scattering are reviewed. The semiclassical approach, where a partonic fluctuation of the incoming virtual photon scatters off a…

High Energy Physics - Phenomenology · Physics 2009-02-20 A. Hebecker

We give an exhaustive, non-perturbative classification of exact travelling-wave solutions of a perturbed sine-Gordon equation (on the real line or on the circle) which is used to describe the Josephson effect in the theory of…

Mathematical Physics · Physics 2016-04-28 Gaetano Fiore , Gabriele Guerriero , Alfonso Maio , Enrico Mazziotti

Given a closed $k$-dimensional submanifold $K$, incapsulated in a compact domain $M \subset \mathbb E^n$, $k \leq n-2$, we consider the problem of determining the intrinsic geometry of the obstacle $K$ (like volume, integral curvature) from…

Dynamical Systems · Mathematics 2022-07-20 Leonid Bunimovich , Gabriel Katz

Elastic and inelastic neutron scattering studies reveal details of the antiferromagnetic tansition and intriguing spin-dynamics in the magneto-electric effect single crystal LiMnPO$_4$. The elastic scattering studies confirm the system is…

Strongly Correlated Electrons · Physics 2015-05-13 Jiying Li , Wei Tian , Ying Chen , Jerel L. Zarestky , Jeffrey W. Lynn , David Vaknin

The interaction of a kink and a monochromatic plane wave in one dimensional scalar field theories is studied. It is shown that in a large class of models the radiation pressure exerted on the kink is negative, i.e. the kink is {\sl pulled}…

High Energy Physics - Theory · Physics 2008-11-26 Péter Forgács , Árpád Lukács , Tomasz Romańczukiewicz

A formulation for the parametric instability of electromagnetic (EM) waves in magnetized pair plasma is developed. The linear growth rate of induced Compton scattering is derived analytically for frequencies below the cyclotron frequency…

High Energy Astrophysical Phenomena · Physics 2025-03-14 Rei Nishiura , Shoma F. Kamijima , Masanori Iwamoto , Kunihito Ioka

Evolution of the nonequilibrium inhomogeneities and topological defects is studied in terms of complex kink solutions of the sine-Gordon equation. The weakly damped oscillation of the sine-Gordon kink, named as the kink quasimode, is…

Pattern Formation and Solitons · Physics 2021-03-17 M. M. Bogdan , O. V. Charkina

We consider the (1+1)-dimensional Lorentz-symmetric field-theoretic model with logarithmic potential having a Mexican-hat form with two local minima similar to that of the quartic Higgs potential in conventional electroweak theory with…

High Energy Physics - Theory · Physics 2021-11-19 Ekaterina Belendryasova , Vakhid A. Gani , Konstantin G. Zloshchastiev

We investigate kink-antikink collisions in a model characterized by two scalar fields in the presence of geometric constrictions. The model includes an auxiliary function that modifies the kinematics associated with one of the two fields.…

High Energy Physics - Theory · Physics 2023-10-31 João G. F. Campos , Fabiano C. Simas , D. Bazeia

In this paper we address the topic of inelastic electron scattering in mesoscopic quantum transport. For systems where only elastic scattering is present, Landauer theory provides an adequate description of transport that relates the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eldon G. Emberly , George Kirczenow

It is shown that the topological discrete sine-Gordon system introduced by Speight and Ward models the dynamics of an infinite uniform chain of electric dipoles constrained to rotate in a plane containing the chain. Such a chain admits a…

Pattern Formation and Solitons · Physics 2014-11-12 J. M. Speight , Y. Zolotaryuk

The problem of kink stability of isothermal spherical self-similar flow in newtonian gravity is revisited. Using distribution theory we first develop a general formula of perturbations, linear or non-linear, which consists of three sets of…

Astrophysics · Physics 2009-07-07 Anzhong Wang , Yumei Wu

We present a unified theoretical framework for induced (stimulated) scattering-parametric instabilities of electromagnetic waves, including induced Compton, stimulated Brillouin, and stimulated Raman scattering (SRS) in strongly magnetized…

High Energy Astrophysical Phenomena · Physics 2025-10-16 Rei Nishiura , Shoma F. Kamijima , Kunihito Ioka

In this work, we will use inverse scattering transform to study the semi-discrete Gardner equation under two types of non-vanishing boundary conditions, and investigate two interesting nonlinear waves in the presence of discrete spectrum,…

Mathematical Physics · Physics 2025-10-28 Jia-Xue Niu , Yan-Nan Zhao , Rui Guo , Jian-Wen Zhang

Kink instabilities are likely to occur in the current-carrying magnetized plasma jets. Recent observations of the blazar radiation and polarization signatures suggest that the blazar emission region may be considerably magnetized. While the…

High Energy Astrophysical Phenomena · Physics 2017-02-01 Haocheng Zhang , Hui Li , Fan Guo , Greg Taylor

Two-particle scattering in Ising field theory in a weak magnetic field h is studied in the regime T>T_c, using perturbation theory in h^2. We calculate explicitly the cross-section of the process 2->3 to the order h^2. To this order, the…

High Energy Physics - Theory · Physics 2011-05-18 A. Zamolodchikov , I. Ziyatdinov

The polarization properties of the elastic electron scattering on H-like ions are investigated within the framework of the relativistic QED theory. The polarization properties are determined by a combination of relativistic effects and spin…

Atomic Physics · Physics 2021-11-24 D. M. Vasileva , K. N. Lyashchenko , A. B. Voitkiv , D. Yu , O. Yu. Andreev
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