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math.AP2023
Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions
Elisa Davoli, Lorenza D'Elia, Jonas Ingmanns
We perform a stochastic-homogenization analysis for composite materials exhibiting a random microstructure. Under the assumptions of stationarity and ergodicity, we characterize th…
math.AP2023★ 3 cited
Density fluctuations in weakly interacting particle systems via the Dean-Kawasaki equation
Federico Cornalba, Julian Fischer, Jonas Ingmanns +1
The Dean-Kawasaki equation - one of the most fundamental SPDEs of fluctuating hydrodynamics - has been proposed as a model for density fluctuations in weakly interacting particle s…