Ising meets Ornstein and Zernike, Debye and Hückel, Widom and Rowlinson, and others

AUTOR(ES)

Dickman, Ronald

FONTE

Brazilian Journal of Physics

DATA DE PUBLICAÇÃO

2000-12

RESUMO

The name Ising has come to stand not only for a specific model, but for an entire universality class - arguably the most important such class - in the theory of critical phenomena. I review several examples, both in and out of equilibrium, in which Ising universality appears or is pertinent. The "Ornstein-Zernike" connection concerns a thermodynamically self-consistent closure of the eponymous relation, which lies at the basis of the modern theory of liquids, as applied to the Ising lattice gas. Debye and Hückel founded the statistical mechanics of ionic solutions, which, despite the long-range nature of the interaction, now appear to exhibit Ising-like criticality. The model of Widom and Rowlinson involves only excluded-volume interactions between unlike species, but again belongs to the Ising universality class. Far-from-equilibrium models of voting behavior, catalysis, and hysteresis provide further examples of this ubiquitous universality class.

Documentos Relacionados

• Spectral derivation of the ornstein-zernike decay for four-point functions
• Analytical Debye-Huckel model for electrostatic potentials around dissolved DNA.
• Visual demonstration of the ionic strength effect in the classroom: the Debye-Hückel limiting law
• An assessment on the use of the debye-hückel equation for the thermodynamic modeling of aqueous systems containing polymers and salts
• Hückel and Möbius annulenes: relationships between their Hückel-level orbitals and their Hückel-level energies