Chain length probability distribution - equivalence of ASYNNNI and 1d Ising model
Апстракт
An expression for the chain length probability distribution p(l) of a one dimensional Ising chain was derived using the cluster variation method formalism, the p(l) being expressed through the pair cluster probabilities. It was shown numerically that the same expression also applies in the case of one dimensional chains formed along one of the next-nearest neighbor interactions included in the two dimensional ASYNNNI (Asymmetric Next-Nearest Neighbor Ising) model, widely used to describe the statistics of oxygen ordering in the basal CuO (x) planes of the YBa(2)Cu(3)O(6+x) type high-T (c) superconducting materials. Equivalency between ASYNNNI and 1d Ising model is discussed.
Кључне речи:
Ising model / ASYNNNI model / probability distributionИзвор:
Central European Journal of Physics, 2008, 6, 2, 311-316Финансирање / пројекти:
DOI: 10.2478/s11534-008-0054-9
ISSN: 1895-1082
WoS: 000254401700016
Scopus: 2-s2.0-41549162896
Колекције
Институција/група
VinčaTY - JOUR AU - Milić, Mirjana M. PY - 2008 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3393 AB - An expression for the chain length probability distribution p(l) of a one dimensional Ising chain was derived using the cluster variation method formalism, the p(l) being expressed through the pair cluster probabilities. It was shown numerically that the same expression also applies in the case of one dimensional chains formed along one of the next-nearest neighbor interactions included in the two dimensional ASYNNNI (Asymmetric Next-Nearest Neighbor Ising) model, widely used to describe the statistics of oxygen ordering in the basal CuO (x) planes of the YBa(2)Cu(3)O(6+x) type high-T (c) superconducting materials. Equivalency between ASYNNNI and 1d Ising model is discussed. T2 - Central European Journal of Physics T1 - Chain length probability distribution - equivalence of ASYNNNI and 1d Ising model VL - 6 IS - 2 SP - 311 EP - 316 DO - 10.2478/s11534-008-0054-9 ER -
@article{ author = "Milić, Mirjana M.", year = "2008", abstract = "An expression for the chain length probability distribution p(l) of a one dimensional Ising chain was derived using the cluster variation method formalism, the p(l) being expressed through the pair cluster probabilities. It was shown numerically that the same expression also applies in the case of one dimensional chains formed along one of the next-nearest neighbor interactions included in the two dimensional ASYNNNI (Asymmetric Next-Nearest Neighbor Ising) model, widely used to describe the statistics of oxygen ordering in the basal CuO (x) planes of the YBa(2)Cu(3)O(6+x) type high-T (c) superconducting materials. Equivalency between ASYNNNI and 1d Ising model is discussed.", journal = "Central European Journal of Physics", title = "Chain length probability distribution - equivalence of ASYNNNI and 1d Ising model", volume = "6", number = "2", pages = "311-316", doi = "10.2478/s11534-008-0054-9" }
Milić, M. M.. (2008). Chain length probability distribution - equivalence of ASYNNNI and 1d Ising model. in Central European Journal of Physics, 6(2), 311-316. https://doi.org/10.2478/s11534-008-0054-9
Milić MM. Chain length probability distribution - equivalence of ASYNNNI and 1d Ising model. in Central European Journal of Physics. 2008;6(2):311-316. doi:10.2478/s11534-008-0054-9 .
Milić, Mirjana M., "Chain length probability distribution - equivalence of ASYNNNI and 1d Ising model" in Central European Journal of Physics, 6, no. 2 (2008):311-316, https://doi.org/10.2478/s11534-008-0054-9 . .