3 papers
math.PR2026
Lattice random-field Widom--Rowlinson models
Benedikt Jahnel, Daniel Kamecke, Christof Külske
We consider the Widom--Rowlinson model on subject to a symmetric i.i.d.\ random field. We prove that for dimensions any non-trivial random field leads to an…
math.PR2026
Locality properties for discrete and continuum Widom--Rowlinson models in random environments
Benedikt Jahnel, Christof Külske, Alexander Zass
We consider the Widom--Rowlinson model in which hard balls of two possible colors are constrained to a hard-core repulsion between particles of different colors, in quenched random…
math-ph2025
-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass features
Kalle Koskinen, Christof Külske
We study the large-volume behavior of the spherical model for -dimensional local spins, in the presence of -dimensional random fields, for . We compare two models, o…