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We theoretically investigate the one-dimensional dynamics of a dark soliton in a two-component immiscible mixture of Bose-Einstein condensates with repulsive interactions. We analyze the reflection and transmission of a soliton when it…

Quantum Gases · Physics 2024-06-11 Maria Arazo , Montserrat Guilleumas , Ricardo Mayol , Michele Modugno

We consider an hierarchy of integrable 1+2-dimensional equations related to Lie algebra of the vector fields on the line. The solutions in quadratures are constructed depending on $n$ arbitrary functions of one argument. The most…

Exactly Solvable and Integrable Systems · Physics 2014-08-27 V. E. Adler , A. B. Shabat

Domain walls, arising from the spontaneous breaking of a discrete symmetry, can be coupled to charge carriers. In much the same way as the Witten model for superconducting cosmic string, an investigation is made here in the case of…

High Energy Physics - Phenomenology · Physics 2009-09-25 Patrick Peter

We consider domain walls embedded in curved backgrounds as an approximation for braneworld scenarios. We give a large class of new exact solutions, exhausting the possibilities for describing one and two walls for the cases where the…

High Energy Physics - Theory · Physics 2016-08-25 Nemanja Kaloper

In this article we study a coupled system of differential equations with Allen-Cahn type non-linearity. Motivated by physical phenomena one of the unknowns in the system is accompanied by a singular perturbation parameter ${\epsilon}^2$ .…

Analysis of PDEs · Mathematics 2024-10-23 Javier Monreal , Michał Kowalczyk

We investigate the formation of stable one-dimensional N\'eel walls in a ferromagnetic slab with finite thickness and finite width. Taking into account the dipolar, the exchange and the uniaxial anisotropic crystalline field interactions,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Rafael M. Fernandes , Harry Westfahl , Rogério Magalhães-Paniago , Leticia N. Coelho

Within an effective field theory framework we compute the most general structure of the one-loop corrections to the 4D gauge couplings in one- and two-dimensional orbifold compactifications with non-vanishing constant gauge background…

High Energy Physics - Theory · Physics 2014-11-18 D. M. Ghilencea

We propose a simple but effective multi-source domain generalization technique based on deep neural networks by incorporating optimized normalization layers that are specific to individual domains. Our approach employs multiple…

Machine Learning · Computer Science 2020-07-22 Seonguk Seo , Yumin Suh , Dongwan Kim , Geeho Kim , Jongwoo Han , Bohyung Han

A method of functional reduction for the dimensionally regularized one-loop Feynman integrals with massive propagators is described in detail. The method is based on a repeated application of the functional relations proposed by the author.…

High Energy Physics - Phenomenology · Physics 2022-07-13 O. V. Tarasov

We first discuss how the longstanding confusion in the literature concerning one-loop quantum corrections to 1+1 dimensional solitons has finally been resolved. Then we use 't Hooft and Veltman's dimensional regularization to compute the…

High Energy Physics - Theory · Physics 2007-05-23 A. S. Goldhaber , A. Rebhan , P. van Nieuwenhuizen , R. Wimmer

We use spin-torque resonance to probe simultaneously and separately the dynamics of a magnetic domain wall and of magnetic domains in a nanostripe magnetic tunnel junction. Thanks to the large associated resistance variations we are able to…

We report an analytical theory of linear emission of exchange spin waves from a Bloch domain wall, excited by a uniform microwave magnetic field. The problem is reduced to a one-dimensional Schr\"odinger-like equation with a P\"oschl-Teller…

Materials Science · Physics 2017-08-16 N. J. Whitehead , S. A. R. Horsley , T. G. Philbin , A. N. Kuchko , V. V. Kruglyak

Spin waves can induce domain wall motion in ferromagnets. We derive the equations of motion for a transverse domain wall driven by spin waves. Our calculations show that the magnonic spin-transfer torque does not cause rotation-induced…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 Vetle Risinggård , Erlend Grytli Tveten , Arne Brataas , Jacob Linder

We have investigated numerically the field-driven propagation of perpendicularly magnetized ferromagnetic layers. It was then compared to the historical one-dimensional domain wall (DW) propagation model widely used in spintronics studies…

Materials Science · Physics 2018-03-01 L. Thevenard , C. Gourdon , S. Haghgoo , J-P. Adam , H. J. von Bardeleben , A. Lemaître , W. Schoch , A. Thiaville

All one-loop renormalization constants for Non-Abelian gauge theory are computed in details by using the symmetry-preserving Loop Regularization method proposed in\cite{LR1,LR2}. The resulting renormalization constants are manifestly shown…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jian-Wei Cui , Yue-Liang Wu

We present a new vortex solution made of a domain wall compactified into a cylinder and stabilized by the magnetic flux within. When the thickness of the wall is much less than the radius of the vortex some precise results can be obtained,…

High Energy Physics - Theory · Physics 2010-04-05 Stefano Bolognesi

Domain walls of a discrete model of an anisotropic ferromagnet are studied. They can be described by sequences of two reversible mappings. Competition between the length scale of spatial structures and the lattice constant leads to a rich…

patt-sol · Physics 2009-10-30 Benno Rumpf

We consider domain walls (DW's) between single-mode and bimodal states that occur in coupled nonlinear diffusion (NLD), real Ginzburg-Landau (RGL), and complex Ginzburg-Landau (CGL) equations with a spatially dependent coupling coefficient.…

patt-sol · Physics 2009-10-30 M. van Hecke , B. A. Malomed

Plane symmetric perturbations are applied to an axially symmetric Kasner spacetime which leads to no momentum flow orthogonal to the planes of symmetry. This flow appears laminar and the structure can be interpreted as a domain wall. We…

General Relativity and Quantum Cosmology · Physics 2012-01-26 George Kotsopoulos , Charles C. Dyer

We study supersymmetric domain walls in N=1 supergravity theories, including those with modular-invariant superpotentials arising in superstring compactifications. Such domain walls are shown to saturate the Bogomol'nyi bound of wall energy…

High Energy Physics - Theory · Physics 2009-09-17 Mirjam Cvetic , Stephen Griffies , Soo-Jong Rey