English

A geometrical model for Mixed cyanide crystals

Disordered Systems and Neural Networks 2015-06-25 v1 Statistical Mechanics

Abstract

A model of diluted random field sustained by quenched volume deformations is shown to reproduce puzzling physical features found in X(CN)_{x}Y_{1-x} mixed cyanide crystals. X is an alkali metal (K, Na or Rb) and Y is a spherical halogen ion (Br, Cl or I). Critical thresholds x_c at which associated first order ferroelastic transitions disappear are calculated exactly. The diluted random field is shown to compete with compressibility in making the transition first order. Transitions are then found to remain first order down to x_c except in the case of bromine dilution where they become continuous. All the results are in excellent agreement with available experimental data.

Keywords

Cite

@article{arxiv.cond-mat/9901012,
  title  = {A geometrical model for Mixed cyanide crystals},
  author = {Serge Galam},
  journal= {arXiv preprint arXiv:cond-mat/9901012},
  year   = {2015}
}

Comments

10 pages, latex

R2 v1 2026-07-22T12:08:52.930Z