Microscopic validation of a variational model of epitaxially strained crystalline films LC Kreutz, P Piovano SIAM Journal on Mathematical Analysis 53 (1), 453-490, 2021 | 20 | 2021 |
Crystallization in the hexagonal lattice for ionic dimers M Friedrich, L Kreutz Mathematical Models and Methods in Applied Sciences 29 (10), 1853-1900, 2019 | 16 | 2019 |
Finite crystallization and Wulff shape emergence for ionic compounds in the square lattice M Friedrich, L Kreutz Nonlinearity 33 (3), 1240, 2020 | 15 | 2020 |
Design of lattice surface energies A Braides, L Kreutz Calculus of Variations and Partial Differential Equations 57, 1-43, 2018 | 14 | 2018 |
Emergence of rigid polycrystals from atomistic systems with Heitmann–Radin sticky disk energy M Friedrich, L Kreutz, B Schmidt Archive for Rational Mechanics and Analysis 240 (2), 627-698, 2021 | 12 | 2021 |
The antiferromagnetic XY model on the triangular lattice: topological singularities A Bach, M Cicalese, L Kreutz, G Orlando arXiv preprint arXiv:2011.10445, 2020 | 12 | 2020 |
The antiferromagnetic XY model on the triangular lattice: chirality transitions at the surface scaling A Bach, M Cicalese, L Kreutz, G Orlando Calculus of Variations and Partial Differential Equations 60 (4), 149, 2021 | 11 | 2021 |
Geometric rigidity in variable domains and derivation of linearized models for elastic materials with free surfaces M Friedrich, L Kreutz, K Zemas Annales de l'Institut Henri Poincaré C, 2024 | 8 | 2024 |
Crystallinity of the homogenized energy density of periodic lattice systems A Chambolle, L Kreutz Multiscale Modeling & Simulation 21 (1), 34-79, 2023 | 8 | 2023 |
An integral-representation result for continuum limits of discrete energies with multibody interactions A Braides, L Kreutz SIAM Journal on Mathematical Analysis 50 (2), 1485-1520, 2018 | 8 | 2018 |
Optimal bounds for periodic mixtures of nearestneighbour ferromagnetic interactions A Braides, L Kreutz ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E …, 2017 | 6 | 2017 |
From atomistic systems to linearized continuum models for elastic materials with voids M Friedrich, L Kreutz, K Zemas Nonlinearity 36 (1), 679, 2022 | 5 | 2022 |
Optimal design of mixtures of ferromagnetic interactions A Braides, L Kreutz arXiv preprint arXiv:1610.06455, 2016 | 5 | 2016 |
A note on the Winterbottom shape L Kreutz, B Schmidt arXiv preprint arXiv:2402.03281, 2024 | 3 | 2024 |
Some results of ferro-magnetic spin systems and related issues LC Kreutz Gran Sasso Science Institute, 2018 | 1 | 2018 |
A Proof of Finite Crystallization via Stratification M Friedrich, L Kreutz Journal of Statistical Physics 190 (12), 199, 2023 | | 2023 |
Emergence of Wulff-Crystals from atomistic systems on the FCC and HCP lattices M Cicalese, L Kreutz, GP Leonardi Communications in Mathematical Physics 402 (3), 2931-2978, 2023 | | 2023 |
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids M Friedrich, L Kreutz, K Zemas arXiv preprint arXiv:2304.05289, 2023 | | 2023 |
A proof of finite crystallization via stratification L Kreutz, M Friedrich arXiv preprint arXiv:2209.14880, 2022 | | 2022 |
MICROSCOPIC VALIDATION OF A VARIATIONAL MODEL OF EPITAXIALLY STRAINED CRYSTALLINE FILMS P PIOVANO, L KREUTZ arXiv preprint arXiv:1902.06561, 2019 | | 2019 |