One-dimensionality of the minimizers in the large volume limit for a diffuse interface attractive/repulsive model in general dimension

DOI10.1007/s00526-021-02120-4zbMath1483.74033arXiv2104.01676OpenAlexW3216202101WikidataQ115386321 ScholiaQ115386321MaRDI QIDQ2062975

Eris Runa, Sara Daneri

Publication date: 3 January 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.01676

zbMATH Keywords

thermodynamic limitperiodic boxgeneralized antiferromegnetic modelModica-Mortola term

Mathematics Subject Classification ID

Structured surfaces and interfaces, coexistent phases (74A50) Energy minimization in equilibrium problems in solid mechanics (74G65) Electromagnetic effects in solid mechanics (74F15) Transformations involving diffusion in solids (74N25)

Related Items (4)

On the ternary Ohta-Kawasaki free energy and its one-dimensional global minimizers ⋮ Deterministic particle approximation of aggregation diffusion equations with nonlinear mobility ⋮ Deterministic particle approximation of aggregation-diffusion equations on unbounded domains ⋮ Striped patterns for generalized antiferromagnetic functionals with power law kernels of exponent smaller than \(d + 2\)

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