Ground state and thermal properties of a lattice gas on a cylindrical surface
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 be...
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2002
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v66_n6_p7_Calbi http://hdl.handle.net/20.500.12110/paper_1063651X_v66_n6_p7_Calbi |
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paper:paper_1063651X_v66_n6_p7_Calbi2023-06-08T16:03:55Z Ground state and thermal properties of a lattice gas on a cylindrical surface Cylindrical geometry Lattice gas Lattice sites Lennard-Jones pair interactions Adsorption Carbon nanotubes Electron gas Geometry Ground state Hamiltonians Mathematical models Monolayers Thermodynamic properties Thin films Crystal lattices article 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. © 2002 The American Physical Society. 2002 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v66_n6_p7_Calbi http://hdl.handle.net/20.500.12110/paper_1063651X_v66_n6_p7_Calbi |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Cylindrical geometry Lattice gas Lattice sites Lennard-Jones pair interactions Adsorption Carbon nanotubes Electron gas Geometry Ground state Hamiltonians Mathematical models Monolayers Thermodynamic properties Thin films Crystal lattices article |
| spellingShingle |
Cylindrical geometry Lattice gas Lattice sites Lennard-Jones pair interactions Adsorption Carbon nanotubes Electron gas Geometry Ground state Hamiltonians Mathematical models Monolayers Thermodynamic properties Thin films Crystal lattices article Ground state and thermal properties of a lattice gas on a cylindrical surface |
| topic_facet |
Cylindrical geometry Lattice gas Lattice sites Lennard-Jones pair interactions Adsorption Carbon nanotubes Electron gas Geometry Ground state Hamiltonians Mathematical models Monolayers Thermodynamic properties Thin films Crystal lattices article |
| description |
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. © 2002 The American Physical Society. |
| title |
Ground state and thermal properties of a lattice gas on a cylindrical surface |
| title_short |
Ground state and thermal properties of a lattice gas on a cylindrical surface |
| title_full |
Ground state and thermal properties of a lattice gas on a cylindrical surface |
| title_fullStr |
Ground state and thermal properties of a lattice gas on a cylindrical surface |
| title_full_unstemmed |
Ground state and thermal properties of a lattice gas on a cylindrical surface |
| title_sort |
ground state and thermal properties of a lattice gas on a cylindrical surface |
| publishDate |
2002 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v66_n6_p7_Calbi http://hdl.handle.net/20.500.12110/paper_1063651X_v66_n6_p7_Calbi |
| _version_ |
1768546263863656448 |