We establish an exact expression, in closed form, for the zero-field susceptibility of the Ising model on a Cayley tree of arbitrary generation. We use the known exact recursion relations for the partition function to find the corresponding recursion relations for its field derivatives. These relations are then iterated for the zero-held case to yield the expression for the zero-field susceptibility. In the thermodynamic limit, our formula displays behavior in agreement with previous works. (C) 1998 Elsevier Science B.V. All rights reserved.
Кључне речи:
Cayley tree / Ising model / susceptibility / zero field
Извор:
Journal of Magnetism and Magnetic Materials, 1998, 177, 185-187
Напомена:
International Conference on Magnetism, Jul 27-Aug 01, 1997, Cairns, Australia
TY - JOUR
AU - Stošić, Tatijana
AU - Stošić, Borko D.
AU - Fittipaldi, Ivon P.
PY - 1998
UR - https://vinar.vin.bg.ac.rs/handle/123456789/6230
AB - We establish an exact expression, in closed form, for the zero-field susceptibility of the Ising model on a Cayley tree of arbitrary generation. We use the known exact recursion relations for the partition function to find the corresponding recursion relations for its field derivatives. These relations are then iterated for the zero-held case to yield the expression for the zero-field susceptibility. In the thermodynamic limit, our formula displays behavior in agreement with previous works. (C) 1998 Elsevier Science B.V. All rights reserved.
T2 - Journal of Magnetism and Magnetic Materials
T1 - Exact zero-field susceptibility of the Ising model on a Cayley tree
VL - 177
SP - 185
EP - 187
DO - 10.1016/S0304-8853(97)00329-6
ER -
@article{
author = "Stošić, Tatijana and Stošić, Borko D. and Fittipaldi, Ivon P.",
year = "1998",
abstract = "We establish an exact expression, in closed form, for the zero-field susceptibility of the Ising model on a Cayley tree of arbitrary generation. We use the known exact recursion relations for the partition function to find the corresponding recursion relations for its field derivatives. These relations are then iterated for the zero-held case to yield the expression for the zero-field susceptibility. In the thermodynamic limit, our formula displays behavior in agreement with previous works. (C) 1998 Elsevier Science B.V. All rights reserved.",
journal = "Journal of Magnetism and Magnetic Materials",
title = "Exact zero-field susceptibility of the Ising model on a Cayley tree",
volume = "177",
pages = "185-187",
doi = "10.1016/S0304-8853(97)00329-6"
}
Stošić, T., Stošić, B. D.,& Fittipaldi, I. P.. (1998). Exact zero-field susceptibility of the Ising model on a Cayley tree. in Journal of Magnetism and Magnetic Materials, 177, 185-187.
https://doi.org/10.1016/S0304-8853(97)00329-6
Stošić T, Stošić BD, Fittipaldi IP. Exact zero-field susceptibility of the Ising model on a Cayley tree. in Journal of Magnetism and Magnetic Materials. 1998;177:185-187.
doi:10.1016/S0304-8853(97)00329-6 .
Stošić, Tatijana, Stošić, Borko D., Fittipaldi, Ivon P., "Exact zero-field susceptibility of the Ising model on a Cayley tree" in Journal of Magnetism and Magnetic Materials, 177 (1998):185-187,
https://doi.org/10.1016/S0304-8853(97)00329-6 . .
