Enhanced approach to calculation of cluster integrals for lattice models of matter

2026/06/20 by M. V. Ushcats, S. Yu. Ushcats · 1 voice
Physics and Astronomy · #cond-mat.other

paper · pdf · doi:10.5488/cmp.29.23503

arxiv published 2026/06/20 · arxiv updated 2026/06/30

Abstract

The study is devoted to enhancing the existing techniques of calculating Mayer's expansion cluster integrals for lattice models of matter. Two important optimizations are proposed: simplifying the calculation of the integrand at each integration point and reducing the number of such integration points due to eliminating physically identical configurations. Based on those optimizations, new data on high-order cluster integrals are obtained for a number of 2D and 3D lattice models.

Citations

• Virial expansion and condensation with a new generating function
• Statistical Mechanics
• On the van der Waals Theory of the Vapor-Liquid Equilibrium. I. Discussion of a One-Dimensional Model

Discussions

• M. V. Ushcats, S. Yu. Ushcats: Enhanced approach to calculation of cluster integrals for lattice models of matter https://arxiv.org/abs/2606.22123 https://arxiv.org/pdf/2606.22123 https://arxiv.org/ht [bsky, 0 points, 0 comments]

Related

• Cluster expansion methods from physical concepts
• Cluster expansion methods in rigorous statistical mechanics
• Atomic Cluster Expansion: Completeness, Efficiency and Stability
• High-temperature cluster expansion for classical and quantum spin lattice systems with multi-body interactions
• Entropy derivation for cluster methods in non-Bravais lattices