Artículo
Calbi, M.M.; Gatica, S.M.; Bojan, M.J.; Cole, M.W. "Ground state and thermal properties of a lattice gas on a cylindrical surface" (2002) Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 66(6):7
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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. © 2002 The American Physical Society.
Registro:
| Documento: | Artículo |
| Título: | Ground state and thermal properties of a lattice gas on a cylindrical surface |
| Autor: | Calbi, M.M.; Gatica, S.M.; Bojan, M.J.; Cole, M.W. |
| Filiación: | Department of Physics, Pennsylvania State University, University Park, PA, 16802, United States Departamento de Física, Universidad de Buenos Aires, CONICET, Buenos Aires, 1428, Argentina Department of Chemistry, Pennsylvania State University, University Park, PA, 16802, United States |
| Palabras clave: | 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 |
| Año: | 2002 |
| Volumen: | 66 |
| Número: | 6 |
| Página de inicio: | 7 |
| DOI: | http://dx.doi.org/10.1103/PhysRevE.66.061107 |
| Título revista: | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Título revista abreviado: | Phys Rev E. |
| ISSN: | 1063651X |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v66_n6_p7_Calbi |
Referencias:
- Mary J. Bojan, M. M. Calbi, Carlo Carraro, Milton W. Cole, Silvina M. Gatica, M. L. Glasser, E. Susana Hernandez, and Milen K. Kostov, Riv. Nuovo Cimento (to be published); Gatica, S.M., Stan, G., Calbi, M.M., Johnson, J.K., Cole, M.W., (2000) J. Low Temp. Phys., 120, p. 337
- Green, D., Chamon, C., (2000) Phys. Rev. Lett., 85, p. 4128
- Millot, F., Larher, Y., Tessier, C., (1982) J. Chem. Phys., 76, p. 3327. , V. L. Pokrovsky and A. L. Talapov, Theory of Incommensurate Crystals (Harwood Academic Publishers, London, 1984)
- Dillon, A.C., Heben, M.J., (2001) Appl. Phys. A: Mater. Sci. Process., 72, p. 133
- Simonyan, V.V., Johnson, J.K., Kuznetsova, A., Yates, J.T., (2001) J. Chem. Phys., 114, p. 4180
- Calbi, M.M., Cole, M.W., Gatica, S.M., Bojan, M.J., Stan, G., (2001) Rev. Mod. Phys., 73, p. 857
- Kostov, M.K., Cole, M.W., Lewis, J.C., Diep, P., Johnson, J.K., (2000) Chem. Phys. Lett., 332, p. 26
- Thomson, J.J., (1904) Philos. Mag., 7, p. 237
- Perez-Garrido, A., Moore, M.A., (1999) Phys. Rev. B, 60, p. 15 628
- Bowick, M.J., Nelson, D.R., Travesset, A., (2000) Phys. Rev. B, 62, p. 8738
- To be specific, in the case (Formula presented) the nearest neighbor separations (Formula presented) for the smaller (Formula presented) minimum are 1.11 for atoms in the same ring and 1.10 for atoms in adjacent rings (compared to the equilibrium value (Formula presented) For the larger (Formula presented) case, the atoms in the same ring are separated by 1.77 while those in adjacent rings are separated by 1.11; L. W. Bruch, M. W. Cole, and E. Zaremba, Physical Adsorption: Forces and Phenomena (Oxford University Press, New York, 1997); Balasubramanya, M.K., Roth, M.W., (2001) Phys. Rev. B, 63, p. 205425
- Roth, M.W., Balasubramanya, M.K., (2000), 62, p. 17 043; F. London, Superfluids (Dover, New York, 1954), Vol. II; C. Carraro (unpublished); See M. Hodak, Ph.D. thesis, University of Pennsylvania, 2002 (unpublished)
Citas:
---------- APA ----------
Calbi, M.M., Gatica, S.M., Bojan, M.J. & Cole, M.W. (2002) . Ground state and thermal properties of a lattice gas on a cylindrical surface. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 66(6), 7.http://dx.doi.org/10.1103/PhysRevE.66.061107
---------- CHICAGO ----------
Calbi, M.M., Gatica, S.M., Bojan, M.J., Cole, M.W. "Ground state and thermal properties of a lattice gas on a cylindrical surface" . Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 66, no. 6 (2002) : 7.http://dx.doi.org/10.1103/PhysRevE.66.061107
---------- MLA ----------
Calbi, M.M., Gatica, S.M., Bojan, M.J., Cole, M.W. "Ground state and thermal properties of a lattice gas on a cylindrical surface" . Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 66, no. 6, 2002, pp. 7.http://dx.doi.org/10.1103/PhysRevE.66.061107
---------- VANCOUVER ----------
Calbi, M.M., Gatica, S.M., Bojan, M.J., Cole, M.W. Ground state and thermal properties of a lattice gas on a cylindrical surface. Phys Rev E. 2002;66(6):7.http://dx.doi.org/10.1103/PhysRevE.66.061107
