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Domain wall networks have attracted renewed interest, particularly in relation to the dynamics of network collapse. Accurately describing this process is challenging and typically requires large scale numerical simulations. Here we adopt a…

The recent observation of current-induced domain wall (DW) motion with large velocity in ultrathin magnetic wires has opened new opportunities for spintronic devices. However, there is still no consensus on the underlying mechanisms of DW…

The key concept in spintronics of current-driven noncollinear magnetic textures, such as magnetic domain walls (DWs), is adiabaticity, i.e., how closely electronic spins track classical localized magnetic moments (LMMs) of the texture. When…

Mesoscale and Nanoscale Physics · Physics 2021-12-30 Felipe Reyes Osorio , Branislav K. Nikolic

We investigate the non-equilibrium steady state of a one-dimensional (1D) lattice gas of dimers. The dynamics is described by a totally asymmetric exclusion process (TASEP) supplemented by attachment and detachment processes, mimicking…

Statistical Mechanics · Physics 2007-05-23 P. Pierobon , T. Franosch , E. Frey

The geometry and morphology of magnetic domain walls (DWs) are closely related to their dynamics when driven by external forces. Under some reliable approximations DWs can be considered self-affine interfaces, so universal laws govern their…

Disordered Systems and Neural Networks · Physics 2023-12-29 P. Domenichini , G. Pasquini , M. G. Capeluto

World models are essential for autonomous robotic planning. However, the substantial computational overhead of existing dense Transformerbased models significantly hinders real-time deployment. To address this efficiency-performance…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Shicheng Yin , Kaixuan Yin , Weixing Chen , Yang Liu , Guanbin Li , Liang Lin

In a first approximation, known as the adiabatic process, the direction of the spin polarization of currents is parallel to the local magnetization vector in a domain wall. Thus the spatial variation of the direction of the spin current…

Mathematical Physics · Physics 2009-11-10 Z. Li , S. Zhang

The issue of whether a thermal gradient acts like a magnetic field or an electric current in the domain wall (DW) dynamics is investigated. Broadly speaking, magnetization control knobs can be classified as energy-driving or…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 M. T. Islam , X. S. Wang , X. R. Wang

The interaction between bulk and dynamic domain wall in the presence of a linear / non-linear electromagnetism make energy density, tension and pressure on the wall all variables, depending on the wall position. In [1] this fact seems to be…

General Relativity and Quantum Cosmology · Physics 2011-04-05 S. Habib Mazharimousavi , M. Halilsoy

We analyze the electric current and magnetic field driven domain wall motion in perpendicularly magnetized ultrathin ferromagnetic films in the presence of interfacial Dzyaloshinskii-Moriya interaction and both out-of-plane and in-plane…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Valeriy V. Slastikov , Cyrill B. Muratov , Jonathan M. Robbins , Oleg A. Tretiakov

Dynamic time warping (DTW) is widely used to align time series evolving on mismatched timescales, yet most applications reduce alignment to a scalar distance. We introduce warp quantification analysis (WQA), a framework that derives…

Computational Engineering, Finance, and Science · Computer Science 2026-01-27 Sir-Lord Wiafe , Vince D. Calhoun

We propose a new method for computing Dynamic Mode Decomposition (DMD) evolution matrices, which we use to analyze dynamical systems. Unlike the majority of existing methods, our approach is based on a variational formulation consisting of…

Numerical Analysis · Mathematics 2019-05-24 Omri Azencot , Wotao Yin , Andrea Bertozzi

We apply a formalism of nonextensive statistical mechanics to experimental wall turbulence data, for the first time to our knowledge. Wind tunnel data for velocity differences a streamwise distance $r$ apart are compared to the prediction…

Fluid Dynamics · Physics 2014-02-11 Simen Å Ellingsen , Per-Åge Krogstad

We propose an algorithm for the efficient parallel implementation of elastoplastic problems with hardening based on the so-called TFETI (Total Finite Element Tearing and Interconnecting) domain decomposition method. We consider an…

Numerical Analysis · Mathematics 2014-01-08 M. Čermák , T. Kozubek , S. Sysala , J. Valdman

The recent experimental demonstration of spin-polarized supercurrents offer a venue for establishment of a superconducting analogue to conventional spintronics. Whereas domain wall motion in purely magnetic structures is a well-studied…

Superconductivity · Physics 2015-06-18 Jacob Linder , Klaus Halterman

We examine the dynamic network flow problem under the assumption that the flow consists of discrete units. The dynamic network flow problem is commonly addressed in the context of developing evacuation plans, where the flow is typically…

Data Structures and Algorithms · Computer Science 2024-04-26 Bubai Manna , Bodhayan Roy , Vorapong Suppakitpaisarn

Dictionary learning is an effective tool for pattern recognition and classification of time series data. Among various dictionary learning techniques, the dynamic time warping (DTW) is commonly used for dealing with temporal delays,…

Machine Learning · Statistics 2023-07-03 Ruiyu Xu , Chao Wang , Yongxiang Li , Jianguo Wu

The method of potential solutions of Fokker-Planck equations is used to develop a transport equation for the joint probability of N coupled stochastic variables with the Dirichlet distribution as its asymptotic solution. To ensure a bounded…

Mathematical Physics · Physics 2013-03-05 J. Bakosi , J. R. Ristorcelli

To adapt effectively to dynamic real-world environments, intelligent systems must continually acquire new skills while generalizing them to diverse, unseen scenarios. Here, we introduce a novel and realistic setting named domain…

Machine Learning · Computer Science 2025-10-21 Hongwei Yan , Guanglong Sun , Zhiqi Kang , Yi Zhong , Liyuan Wang

Despite the relevance of current-induced magnetic domain wall (DW) motion for new spintronics applications, the exact details of the current-domain wall interaction are not yet understood. A property intimately related to this interaction…

Mesoscale and Nanoscale Physics · Physics 2012-02-13 Jeroen H. Franken , Mark Hoeijmakers , Henk J M Swagten , Bert Koopmans
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