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The Nonintrinsic Sector of Landau Theory

Statistical Mechanics 2026-03-24 v1

Abstract

Landau theory usually treats free-energy coefficients as intrinsic parameters fixed by thermodynamic variables. We show that externally written microscale fields can survive coarse graining and enter the free-energy functional as spatially prescribed coefficient fields. This defines a nonintrinsic sector of Landau theory. The key condition is a hierarchy of correlation, writing, and frustration lengths. We identify ion-patterned FeRh as a plausible realization.

Keywords

Cite

@article{arxiv.2603.22038,
  title  = {The Nonintrinsic Sector of Landau Theory},
  author = {Trey Li},
  journal= {arXiv preprint arXiv:2603.22038},
  year   = {2026}
}