ISING MODEL SPIN S = 1 ON DIRECTED BARABÁSI–ALBERT NETWORKS

@article{Lima2006ISINGMS,
  title={ISING MODEL SPIN S = 1 ON DIRECTED BARAB{\'A}SI–ALBERT NETWORKS},
  author={F. W. S. Lima},
  journal={International Journal of Modern Physics C},
  year={2006},
  volume={17},
  pages={1267-1272}
}
  • F. Lima
  • Published 9 July 2006
  • Physics
  • International Journal of Modern Physics C
On directed Barabasi–Albert networks with two and seven neighbours selected by each added site, the Ising model with spin S = 1/2 was seen not to show a spontaneous magnetisation. Instead, the decay time for flipping of the magnetisation followed an Arrhenius law for Metropolis and Glauber algorithms, but for Wolff cluster flipping the magnetisation decayed exponentially with time. On these networks the Ising model spin S = 1 is now studied through Monte Carlo simulations. However, in this… 
8 Citations

Figures from this paper

COMPARISON OF ISING MAGNET ON DIRECTED VERSUS UNDIRECTED ERDÖS–RÉNYI AND SCALE-FREE NETWORKS
Scale-free networks are a recently developed approach to model the interactions found in complex natural and man-made systems. Such networks exhibit a power-law distribution of node link (degree)
Susceptibility of the Ising model on the scale-free network with a Cayley tree-like structure
We derive the exact expression for the zero-field susceptibility of each spin of the Ising model on the scale-free (SF) network having the degree distribution P(k)∝k−γ with the Cayley tree-like
Three-state majority-vote model on square lattice
Here, a non-equilibrium model with two states (−1,+1) and a noise q on simple square lattices proposed for M.J. Oliveira (1992) following the conjecture of up-down symmetry of Grinstein and
Evolution of ethnocentrism on undirected and directed Barabási-Albert networks
TLDR
Using Monte Carlo simulations, it is demonstrated that irrespective of the mode of reproduction, the ethnocentric strategy becomes common even though cooperation is individually costly and mechanisms such as reciprocity or conformity are absent.
Tax Evasion and Multi-Agent-Based Model on Various Topologies
In this work, we use Monte-Carlo simulations to study the control of the fluctuations for tax evasion in the economics model proposed by [G. Zaklan, F. Westerhoff and D. Stauffer, J. Econ. Interact.
Critical Behaviour of the Ising S=l/2 and S=l Model on (3,4,6,4) and (3,3,3,3,6) Archimedean Lattices
We investigate the critical properties of the Ising S = 1/2 and S = 1 model on (3,4,6,4) and (3 4 ,6) Archimedean lattices. The system is studied through the extensive Monte Carlo simulations. We
Controlling the Tax Evasion Dynamics via Majority-Vote Model on Various Topologies
Within the context of agent-based Monte-Carlo simulations, we study the well-known majority-vote model (MVM) with noise applied to tax evasion on simple square lattices (LS), Honisch-Stauffer (SH),
Analysing and controlling the tax evasion dynamics via majority-vote model
Within the context of agent-based Monte-Carlo simulations, we study the well-known majority-vote model (MVM) with noise applied to tax evasion on simple square lattices, Voronoi-Delaunay random

References

SHOWING 1-10 OF 24 REFERENCES
MONTE CARLO SIMULATION OF ISING MODEL ON DIRECTED BARABASI–ALBERT NETWORK
The existence of spontaneous magnetization of Ising spins on directed Barabasi–Albert networks is investigated with seven neighbors, by using Monte Carlo simulations. In large systems, we see the
Aperiodicity-Induced Second-Order Phase Transition in the 8-State Potts Model
We investigate the critical behavior of the two-dimensional 8-state Potts model with an aperiodic distribution of the exchange interactions between nearest-neighbor rows. The model is studied
Two-dimensional eight-state Potts model on random lattices: A Monte Carlo study
We use two-dimensional Poissonian random lattices of Voronoi/Delaunay type to study the effect of quenched coordination number randomness on the nature of the phase transition in the eight-state
Statistical mechanics of complex networks
TLDR
A simple model based on these two principles was able to reproduce the power-law degree distribution of real networks, indicating a heterogeneous topology in which the majority of the nodes have a small degree, but there is a significant fraction of highly connected nodes that play an important role in the connectivity of the network.
Accurate first-order transition points from finite-size data without power-law corrections.
  • Janke
  • Physics, Medicine
    Physical review. B, Condensed matter
  • 1993
TLDR
A different and efficient way to compute the latent heat is suggested for systems in a box of volume V with periodic boundary conditions which involve only exponential corrections with respect to T 0 ≡T 0 (∞).
Finite Size Scaling and Numerical Simulation of Statistical Systems
The theory of Finite Size Scaling describes a build-up of the bulk properties when a small system is increased in size. This description is particularly important in strongly correlated systems where
Cluster Monte Carlo algorithms
Abstract The Swendsen-Wang and Wolff Monte Carlo algorithms are described in some detail, using the Potts model as an example. Various generalizations are then reviewed and some applications are
Islamic University Journal (Gaza)
  • Islamic University Journal (Gaza)
  • 2006
...
1
2
3
...