Quantitative Estimate of the Continuum Approximations of Interacting Particle Systems in One Dimension
From MaRDI portal
Publication:5150316
DOI10.1137/20M1322054zbMath1459.82181arXiv2002.11876OpenAlexW3121411090MaRDI QIDQ5150316
Patrick van Meurs, Masato Kimura
Publication date: 15 February 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.11876
Interacting particle systems in time-dependent statistical mechanics (82C22) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Variational methods applied to PDEs (35A15) Homogenization in equilibrium problems of solid mechanics (74Q05)
Related Items
Boundary-Layer Analysis of Repelling Particles Pushed to an Impenetrable Barrier ⋮ Onset of fracture in random heterogeneous particle chains ⋮ Convergence rates for energies of interacting particles whose distribution spreads out as their number increases
Cites Work
- Unnamed Item
- Asymptotic behaviour of a pile-up of infinite walls of edge dislocations
- 1D log gases and the renormalized energy: crystallization at vanishing temperature
- Asymptotic analysis of boundary layers in a repulsive particle system
- 2D Coulomb gases and the renormalized energy
- Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
- Boundary-layer analysis of a pile-up of walls of edge dislocations at a lock
- Many-particle limits and non-convergence of dislocation wall pile-ups
- Regularity of the minimiser of one-dimensional interaction energies
- Design of accurate formulas for approximating functions in weighted Hardy spaces by discrete energy minimization
- Asymptotic Analysis of a System of Algebraic Equations Arising in Dislocation Theory
- Upscaling of dislocation walls in finite domains
- NEXT ORDER ASYMPTOTICS AND RENORMALIZED ENERGY FOR RIESZ INTERACTIONS