Monte Carlo simulations of vacancy ordering transitions in a one-dimensional lattice gas with Coulomb interactions

King, T.C.; Kuo, Y. K.; Skove, M. J.

doi:10.1016/s0378-4371(02)00990-1

Cited by 5 publications

(2 citation statements)

References 15 publications

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“…One where the interaction between the charges ∝ 1/r (Coulomb lattice gas, or CLG), and the other where the interaction ∝ ln r (lattice Coulomb gas, or LCG). Studies of various models of one [1][2][3][4] and two [4][5][6] -dimensional CLG and LCG using different methods have shown the existence of multiple phase transitions, complexity in phase diagrams and their practical applications to real materials, e.g., KCu 7−x S 4 , 1-3 Ni 1−x Al x (OH) 2 (CO 3 ) x/2 .yH 2 O,... . 4 In three-dimensional CLG on a simple cubic (sc) lattice, several works have been done using either theoretical calculations (mean-field approximation 7 and Padé expansion 8 ) or Monte Carlo (MC) simulations.…”

Section: Introductionmentioning

confidence: 99%

Charge ordering and self-assembled nanostructures in a fcc Coulomb lattice gas

2005

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The compositional ordering of Ag, Pb, Sb, Te ions in (AgSbTe2)x(PbTe) 2(1−x) systems possessing a NaCl structure is studied using a Coulomb lattice gas (CLG) model on a face-centered cubic (fcc) lattice and Monte Carlo simulations. Our results show different possible microstructural orderings. Ordered superlattice structures formed out of AgSbTe2 layers separated by Pb2Te2 layers are observed for a large range of x values. For x = 0.5, we see an array of tubular structures formed by AgSbTe2 and Pb2Te2 blocks. For x = 1, AgSbTe2 has a body-centered tetragonal (bct) structure which is in agreement with previous Monte Carlo simulation results for restricted primitive model (RPM) at closed packed density. The phase diagram of this frustrated CLG system is discussed.

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Section: Introductionmentioning

confidence: 99%

Charge ordering and self-assembled nanostructures in a fcc Coulomb lattice gas

2005

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“…System of charged particles with charged bounderies and confined into one dimensional channel has been introduced long time ago as a model for one-component plasma but the model still attracts many interest 11,[46][47][48] . The model has been shown to be very useful in studying mechanism of charge regulation 49 , ionic liquids near charged interfaces [50][51][52] , and array of charged smectic layers or lipid multilayers 46 .…”

Section: Bose Gas With Hard Wallmentioning

confidence: 99%

Thermodynamics of interacting hard rods on a lattice

Benmessabih,

Bakhti,

Chellali

2021

Preprint

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We present an exact derivation of the isobaric partition function of lattice hard rods with arbitrary nearest neighbor interactions. Free energy and all thermodynamics functions are derived accordingly and they written in a form that is a suitable for numerical implementation. As an application, we have considered lattice rods with pure hard core interactions, rods with long range gravitational attraction and finally a charged hard rods with charged boundaries (Bose gas), a model that is relevant for studying several phenomena such as charge regulation, ionic liquids near charged interfaces, and an array of charged smectic layers or lipid multilayers. In all cases, thermodynamic analysis have been done numerically using the Broyden algorithm.

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