• Corpus ID: 246285748

Exact continuum representation of long-range interacting systems

  title={Exact continuum representation of long-range interacting systems},
  author={Andreas A. Buchheit and Torsten Ke{\ss}ler and Peter K. Schuhmacher and Benedikt Fauseweh},
Continuum limits are a powerful tool in the study of many-body systems, yet their validity is often unclear when long-range interactions are present. In this work, we rigorously address this issue and put forth an exact representation of long-range interacting lattices that separates the model into a term describing its continuous analogue, the integral contribution, and a term that fully resolves the microstructure, the lattice contribution. For any system dimension, any lattice, any power-law… 
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