Highly nonlinear ising model and social segregation
Joint Authors
Shabat, Muhammad Musa
Sumur, M. A.
Radwan, M. A.
Source
IUG Journal of Natural Studies
Issue
Vol. 20, Issue 2 (30 Jun. 2012), pp.15-28, 14 p.
Publisher
The Islamic University-Gaza Deanship of Research and Graduate Affairs
Publication Date
2012-06-30
Country of Publication
Palestine (Gaza Strip)
No. of Pages
14
Main Subjects
Topics
Abstract EN
The usual interaction energy of the random field Ising model in statistical physics is modified by complementing the random field by adding to the energy of the usual Ising model a nonlinear term S n, where S is the sum of the neighbor spins, and n = 0,1, 3, 5, 7, 9, 11.
Within the Schelling model of urban segregation, this modification corresponds to housing prices depending on the immediate neighborhood.
Simulations at different temperatures (T), lattice size (L), magnetic field (h), number of neighbors (m) and different time intervals (number of iterations)b showed that results for all n are similar, expect for n = 3 in violation of the universality principle and the law of corresponding states.
In order to find the critical temperatures, for large n we no longer start with all spins parallel but instead with a random configuration, in order to facilitate spin flips.
However, in all cases we have a Curie temperature with phase separation or long-range segregation only below this Curie temperature, and it is approximated by a simple formula: Tc is proportional to m*exp (n / constant)
American Psychological Association (APA)
Sumur, M. A.& Radwan, M. A.& Shabat, Muhammad Musa. 2012. Highly nonlinear ising model and social segregation. IUG Journal of Natural Studies،Vol. 20, no. 2, pp.15-28.
https://search.emarefa.net/detail/BIM-307624
Modern Language Association (MLA)
Sumur, M. A.…[et al.]. Highly nonlinear ising model and social segregation. IUG Journal of Natural Studies Vol. 20, no. 2 (Jun. 2012), pp.15-28.
https://search.emarefa.net/detail/BIM-307624
American Medical Association (AMA)
Sumur, M. A.& Radwan, M. A.& Shabat, Muhammad Musa. Highly nonlinear ising model and social segregation. IUG Journal of Natural Studies. 2012. Vol. 20, no. 2, pp.15-28.
https://search.emarefa.net/detail/BIM-307624
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 28
Record ID
BIM-307624