TY  - JOUR
AU  - Stošić, Borko D.
AU  - Stošić, Tatijana
AU  - Fittipaldi, Ivon P.
PY  - 2005
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2911
AB  - While the Ising model on the Cayley tree has no spontaneous magnetization at nonzero temperatures in the thermodynamic limit, we show that finite systems of astronomical sizes remain magnetically ordered in a wide temperature range, if the symmetry is broken by fixing an arbitrary single (bulk or surface) spin. We compare the behavior of the finite size magnetization of this model with that of the [sing model on both the Sierpinski gasket, and the one-dimensional linear chain. This comparison reveals the analogy of the behavior of the present model with the Sierpinski gasket case. (c) 2005 Elsevier B.V. All rights reserved.
T2  - Physica A: Statistical Mechanics and Its Applications
T1  - Thermodynamic limit for the Ising model on the Cayley tree
VL  - 355
IS  - 2-4
SP  - 346
EP  - 354
DO  - 10.1016/j.physa.2005.01.039
ER  - 

@article{
author = "Stošić, Borko D. and Stošić, Tatijana and Fittipaldi, Ivon P.",
year = "2005",
abstract = "While the Ising model on the Cayley tree has no spontaneous magnetization at nonzero temperatures in the thermodynamic limit, we show that finite systems of astronomical sizes remain magnetically ordered in a wide temperature range, if the symmetry is broken by fixing an arbitrary single (bulk or surface) spin. We compare the behavior of the finite size magnetization of this model with that of the [sing model on both the Sierpinski gasket, and the one-dimensional linear chain. This comparison reveals the analogy of the behavior of the present model with the Sierpinski gasket case. (c) 2005 Elsevier B.V. All rights reserved.",
journal = "Physica A: Statistical Mechanics and Its Applications",
title = "Thermodynamic limit for the Ising model on the Cayley tree",
volume = "355",
number = "2-4",
pages = "346-354",
doi = "10.1016/j.physa.2005.01.039"
}

Stošić, B. D., Stošić, T.,& Fittipaldi, I. P.. (2005). Thermodynamic limit for the Ising model on the Cayley tree. in Physica A: Statistical Mechanics and Its Applications, 355(2-4), 346-354.
https://doi.org/10.1016/j.physa.2005.01.039

Stošić BD, Stošić T, Fittipaldi IP. Thermodynamic limit for the Ising model on the Cayley tree. in Physica A: Statistical Mechanics and Its Applications. 2005;355(2-4):346-354.
doi:10.1016/j.physa.2005.01.039 .

Stošić, Borko D., Stošić, Tatijana, Fittipaldi, Ivon P., "Thermodynamic limit for the Ising model on the Cayley tree" in Physica A: Statistical Mechanics and Its Applications, 355, no. 2-4 (2005):346-354,
https://doi.org/10.1016/j.physa.2005.01.039 . .

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 . .

TY  - JOUR
AU  - Stošić, Borko D.
AU  - Stošić, Tatijana
AU  - Fittipaldi, Ivon P.
AU  - Veerman, J.J.P.
PY  - 1997
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/2071
AB  - We find the analytical expression for the residual entropy of the square Ising model with nearest-neighbour antiferromagnetic coupling J, in the maximum critical field H-c = 4J, in terms of the Fibonacci matrix, which itself represents a self-similar, fractal object. The result coincides with the existing numerical data. By considering regular self-similar fractal objects rather than seemingly random transfer matrices, this approach opens the possibility of finding the corresponding solutions in more complicated cases, such as the antiferromagnets with longer than nearest-neighbour interactions and the three-dimensional antiferromagnets, as well as the possibility of unification of results pertinent to different lattices in two and three dimensions.
T2  - Journal of Physics. A: Mathematical and General
T1  - Residual entropy of the square Ising antiferromagnet in the maximum critical field: The Fibonacci matrix
VL  - 30
IS  - 10
SP  - L331
EP  - L337
DO  - 10.1088/0305-4470/30/10/006
ER  - 

@article{
author = "Stošić, Borko D. and Stošić, Tatijana and Fittipaldi, Ivon P. and Veerman, J.J.P.",
year = "1997",
abstract = "We find the analytical expression for the residual entropy of the square Ising model with nearest-neighbour antiferromagnetic coupling J, in the maximum critical field H-c = 4J, in terms of the Fibonacci matrix, which itself represents a self-similar, fractal object. The result coincides with the existing numerical data. By considering regular self-similar fractal objects rather than seemingly random transfer matrices, this approach opens the possibility of finding the corresponding solutions in more complicated cases, such as the antiferromagnets with longer than nearest-neighbour interactions and the three-dimensional antiferromagnets, as well as the possibility of unification of results pertinent to different lattices in two and three dimensions.",
journal = "Journal of Physics. A: Mathematical and General",
title = "Residual entropy of the square Ising antiferromagnet in the maximum critical field: The Fibonacci matrix",
volume = "30",
number = "10",
pages = "L331-L337",
doi = "10.1088/0305-4470/30/10/006"
}

Stošić, B. D., Stošić, T., Fittipaldi, I. P.,& Veerman, J.J.P.. (1997). Residual entropy of the square Ising antiferromagnet in the maximum critical field: The Fibonacci matrix. in Journal of Physics. A: Mathematical and General, 30(10), L331-L337.
https://doi.org/10.1088/0305-4470/30/10/006

Stošić BD, Stošić T, Fittipaldi IP, Veerman J. Residual entropy of the square Ising antiferromagnet in the maximum critical field: The Fibonacci matrix. in Journal of Physics. A: Mathematical and General. 1997;30(10):L331-L337.
doi:10.1088/0305-4470/30/10/006 .

Stošić, Borko D., Stošić, Tatijana, Fittipaldi, Ivon P., Veerman, J.J.P., "Residual entropy of the square Ising antiferromagnet in the maximum critical field: The Fibonacci matrix" in Journal of Physics. A: Mathematical and General, 30, no. 10 (1997):L331-L337,
https://doi.org/10.1088/0305-4470/30/10/006 . .