Statistical Mechanics of One-Dimensional Charged Hard-Rod Systems

Heo, Minhye; Jang, Seanea; Shin, Ghi Ryang; Kim, Soon-Chul

doi:10.3938/npsm.69.1101

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Bose Gas With Hard Wall1

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2021

2022

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Cited by 2 publications

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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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