Monte Carlo simulation of Ising model on directed Barabasi-Albert network
Muneer A. Sumour, M.M. Shabat
TL;DR
This paper uses Monte Carlo simulations to study the spontaneous magnetization of Ising spins on directed Barabasi-Albert networks, revealing that magnetization decays over time and diverges at zero temperature.
Contribution
It demonstrates the behavior of Ising spins on directed networks and the divergence of relaxation time at zero temperature, providing new insights into phase transitions in such systems.
Findings
Magnetization decays over time in large systems
Relaxation time diverges at zero temperature
Spontaneous magnetization exists on directed networks
Abstract
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 magnetization for different temperatures T to decay after a characteristic time tau, which is extrapolated to diverge at zero temperature.
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