Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Simon, Theresa M."'
We demonstrate existence of topologically nontrivial energy minimizing maps of a given positive degree from bounded domains in the plane to $\mathbb S^2$ in a variational model describing magnetizations in ultrathin ferromagnetic films with Dzyaloshi
Externí odkaz:
http://arxiv.org/abs/2409.07205
We establish a weak-strong uniqueness principle for the two-phase Mullins-Sekerka equation in the plane: As long as a classical solution to the evolution problem exists, any weak De Giorgi type varifold solution (see for this notion the recent work o
Externí odkaz:
http://arxiv.org/abs/2404.02682
Publikováno v:
Phys. Rev. B 108, L161405 (2023)
We present a micromagnetic theory of compact magnetic skyrmions under applied magnetic field that accounts for the full dipolar energy and the interfacial Dzyaloshinskii-Moryia interaction (DMI) in the thin film regime. Asymptotic analysis is used to
Externí odkaz:
http://arxiv.org/abs/2306.01413
We establish that regular flat partitions are locally minimizing for the interface energy with respect to $L^1$ perturbations of the phases. Regular flat partitions are partitions of open sets in $\mathbb{R}^2$ whose network of interfaces consists of
Externí odkaz:
http://arxiv.org/abs/2212.11840
Autor:
Rüland, Angkana, Simon, Theresa M.
We classify all exactly stress-free solutions to the cubic-to-trigonal phase transformation within the geometrically linearized theory of elasticity, showing that only simple laminates and crossing-twin structures can occur. In particular, we prove t
Externí odkaz:
http://arxiv.org/abs/2210.04304
Publikováno v:
Commun. Math. Phys. 404, 1571-1605 (2023)
We present a variational treatment of confined magnetic skyrmions in a minimal micromagnetic model of ultrathin ferromagnetic films with interfacial Dzylashinksii-Moriya interaction (DMI) in competition with the exchange energy, with a possible addit
Externí odkaz:
http://arxiv.org/abs/2208.00058
We give a short and self-contained proof for rates of convergence of the Allen-Cahn equation towards mean curvature flow, assuming that a classical (smooth) solution to the latter exists and starting from well-prepared initial data. Our approach is b
Externí odkaz:
http://arxiv.org/abs/2002.11994
Publikováno v:
Arch. Rat. Mech. Anal. 239, 219-299 (2020)
We characterize skyrmions in ultrathin ferromagnetic films as local minimizers of a reduced micromagnetic energy appropriate for quasi two-dimensional materials with perpendicular magnetic anisotropy and interfacial Dzyaloshinskii-Moriya interaction.
Externí odkaz:
http://arxiv.org/abs/1912.09854
Akademický článek
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Autor:
Simon, Theresa M.1 (AUTHOR) simon@iam.uni-bonn.de
Publikováno v:
Archive for Rational Mechanics & Analysis. Sep2021, Vol. 241 Issue 3, p1707-1783. 77p.