Ground state and thermal properties of a lattice gas on a cylindrical surface

M. Mercedes Calbi, Silvina M. Gatica, Mary J. Bojan, Milton W. Cole

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Adsorbed gases within, or outside of, carbon nanotubes may be analyzed with an approximate model of adsorption on lattice sites situated on a cylindrical surface. Using this model, the ground state energies of alternative lattice structures are calculated, assuming Lennard-Jones pair interactions between the particles. The resulting energy and equilibrium structure are nonanalytic functions of radius (R) because of commensuration effects associated with the cylindrical geometry. Specifically, as R varies, structural transitions occur between configurations differing in the “ring number,” defined as the number of atoms located at a common value of the longitudinal coordinate [formula presented] The thermodynamic behavior of this system is evaluated at finite temperatures, using a Hamiltonian with nearest-neighbor interactions. The resulting specific heat bears a qualitative resemblance to that of the one-dimensional Ising model.

Original languageEnglish (US)
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume66
Issue number6
DOIs
StatePublished - Dec 30 2002

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Ground state and thermal properties of a lattice gas on a cylindrical surface'. Together they form a unique fingerprint.

Cite this