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Two dimensional inhomogeneous classical systems at criticality — arXiv:2608.02903

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.02903
License (as archived): CC0-1.0
Archived: 2026-10-31T13:12:40.712Z
SHA-256 of the archived text: 99603391f99e8acb9abb843f57b8fbd4c0ef740497b28090dfeb2e7571a62918
Stable URL of this page: https://metraipolis.com/documento/dc_dba890f104f1

How to cite

Two dimensional inhomogeneous classical systems at criticality — arXiv:2608.02903 — arXiv (en), https://arxiv.org/abs/2608.02903 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_dba890f104f1 (Metraipolis archive dc_dba890f104f1, sha256 99603391f99e8acb9abb843f57b8fbd4c0ef740497b28090dfeb2e7571a62918)

BibTeX

@misc{dcdba890f104f1,
  title = {Two dimensional inhomogeneous classical systems at criticality — arXiv:2608.02903},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.02903},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_dba890f104f1; sha256 99603391f99e8acb9abb843f57b8fbd4c0ef740497b28090dfeb2e7571a62918},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.02903. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We study simple inhomogeneous deformations of known two-dimensional classical lattice models described by conformal field theory (CFT) at large distances. The deformations are chosen to vary slowly at lattice scales, while preserving critical behavior. Globally, we find that such systems are described by a CFT in curved space, and identify the underlying space metric. Our two examples are the Ising model and the six vertex model with domain wall boundary conditions. In the latter boundaries are also inhomogeneous, which complicates the analysis. We nevertheless solve the free case using hydrodynamics. In the presence of interactions we determine the arctic curve which separates a critical fluctuating region from an ordered (frozen) phase.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-08-05 in cond-mat.stat-mech).
Categorie arXiv: Statistical Mechanics (cond-mat.stat-mech) ; Mathematical Physics (math-ph).
Pagina del lavoro: https://arxiv.org/abs/2608.02903 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-31T13:00:32.733Z dalla pagina https://arxiv.org/catchup/cond-mat.stat-mech/2026-08-05?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).