Failure of crystallization for generalized Lennard-Jones potentials and coarse graining to a rotating stars problem in one dimension

DOI10.1016/j.na.2022.113046zbMath1512.49017MaRDI QIDQ6102081

Marcello Ponsiglione, Vito Crismale, Andrea Kubin, A. Ninno

Publication date: 8 May 2023

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

variational methodscrystallization

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Methods involving semicontinuity and convergence; relaxation (49J45) Statics (70C20)

Cites Work

• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The crystallization conjecture: a review
• Minimization problems in \(L^1(\mathbb{R}^3)\)
• Variational solutions of some nonlinear free boundary problems
• Attractive Riesz potentials acting on hard spheres