Lattice Models of Ionic Systems
arXiv:cond-mat/0112238 · doi:10.1063/1.1464827
Abstract
A theoretical analysis of Coulomb systems on lattices in general dimensions is presented. The thermodynamics is developed using Debye-Huckel theory with ion-pairing and dipole-ion solvation, specific calculations being performed for 3D lattices. As for continuum electrolytes, low-density results for sc, bcc and fcc lattices indicate the existence of gas-liquid phase separation. The predicted critical densities have values comparable to those of continuum ionic systems, while the critical temperatures are 60-70% higher. However, when the possibility of sublattice ordering as well as Debye screening is taken into account systematically, order-disorder transitions and a tricritical point are found on sc and bcc lattices, and gas-liquid coexistence is suppressed. Our results agree with recent Monte Carlo simulations of lattice electrolytes.
25 pages, 3 figures, ReVTeX 4, Submitted to J. Chem. Phys
Cited by in corpus (20)
- Magnetic Monopoles in Spin Ice
- Magnetic-Moment Fragmentation and Monopole Crystallization
- Observation of Magnetic Monopoles in Spin Ice
- New physics in frustrated magnets: Spin ices, monopoles, etc
- Simulations of ionic liquids confined by metal electrodes using periodic Green functions
- Emergent Electrochemistry in Spin Ice: Debye-Hückel Theory and Beyond
- Charge ordering and self-assembled nanostructures in a fcc Coulomb lattice gas
- AC Wien effect in spin ice, manifest in non-linear non-equilibrium susceptibility
- The one dimensional Coulomb lattice fluid capacitor
- Lattice Model of an Ionic Liquid at an Electrified Interface
- Monopole ordered phases in dipolar and nearest-neighbours Ising pyrochlore: from spin ice to the "all-in--all-out" antiferromagnet
- The multiple symmetry sustaining phase transitions of spin ice
- Anisotropic Lattice Models of Electrolytes
- Lattice Models of Ionic Systems with Charge Asymmetry
- Phase diagrams in the lattice RPM model: from order-disorder to gas-liquid phase transition
- Phase diagram of a bulk 1d lattice Coulomb gas
- Thermal and structural properties of ionic fluids
- Thermodynamics of Electrolytes on Anisotropic Lattices
- Interface structures in ionic liquid crystals
- Thermodynamics and Phase Transitions of Electrolytes on Lattices with Different Discretization Parameters