Energoservis (Czechia)

The localized Bost-Connes system attached to the prime family of Q47(n) = n^47 - (n-1)^47: fractional critical temperature, KMS uniqueness, and a congruence that the dynamics cannot see

Let Q47(x) = x^47 - (x-1)^47, an irreducible polynomial of degree 46, and let S be the set of primes it represents. We analyse the localized Bost-Connes system A_{Q,S} in the framework of the author's paper "KMS state uniqueness and phase transitions in localized Bost-Connes syst...

KMS state uniqueness and phase transitions in localized Bost-Connes systems: from Chebotarev density to the Hardy-Littlewood conjecture

For a number field K and an arbitrary set S of finite primes we classify the KMS states of the S-local Bost-Connes system A_{K,S}, unconditionally, for every inverse temperature beta > 0. The KMS_beta simplex is affinely isomorphic to Prob(G_S / Xi_beta^perp), where the symmetry...

Conserved dynamics make the solute hyperuniform, not the domains

Analysis code, derived data and manuscript source for a study of spatial order in Cahn–Hilliard coarsening. In a phase-separating system with a locally conserved order parameter, the concentration field is hyperuniform, with Sc(k) ~ k⁴, while the point pattern of domain centroids...

A Statistical Thermodynamic Lattice Model for Cu–In Coupled Substitution in Sphalerite

Version 2.0. This version corrects the equilibration argument of Section 4.7. Replica-exchange sampling reaches a state 3.1 eV over the box below anything the version 1 annealing protocol attained, showing that the two-trajectory test reported there was not a sufficient test of e...

A Statistical Thermodynamic Lattice Model for Cu–In Coupled Substitution in Sphalerite

This record contains the complete reference implementation, the numerical results underlying every figure and table, and the manuscript for a statistical thermodynamic lattice model of copper-indium coupled substitution in sphalerite. Indium in sphalerite is almost invariably acc...