Thermodynamic limit for the Ising model on the Cayley tree
Апстракт
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.
Извор:
Physica A: Statistical Mechanics and Its Applications, 2005, 355, 2-4, 346-354
DOI: 10.1016/j.physa.2005.01.039
ISSN: 0378-4371
WoS: 000230869200008
Scopus: 2-s2.0-21944439625
Колекције
Институција/група
VinčaTY - 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 . .