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math.NA2025
Zeta expansion for long-range interactions under periodic boundary conditions with applications to micromagnetics
Andreas A. Buchheit, Jonathan K. Busse, Torsten Keßler +1
We address the efficient computation of power-law-based interaction potentials of homogeneous -dimensional bodies with an infinite -dimensional array of copies, including the…
cond-mat.mtrl-sci2025
Exact lattice summations for Lennard-Jones potentials coupled to a three-body Axilrod-Teller-Muto term applied to cuboidal phase transitions
Andres Robles-Navarro, Shaun Cooper, Andreas A. Buchheit +4
This work provides a rigorous analysis of Bain-type cuboidal lattice transformations, which connect the face-centered cubic (fcc), mean-centered cubic (mcc), body-centered cubic (b…
math.NA2025
Epstein zeta method for many-body lattice sums
Andreas A. Buchheit, Jonathan K. Busse
Many-body interactions arise naturally in the perturbative treatment of classical and quantum many-body systems and play a crucial role in the description of condensed matter syste…