The effect of Lattice Size on one-dimensional Majority-vote model on directed Small-World Networks تأثير حجم الشبيكة على نموذج التصويت بالأغلبية أحادي البعد في شبكات عالم صغير موجهة

سمور, منير and رضوان, محمد and ليما, ف.و (2020) The effect of Lattice Size on one-dimensional Majority-vote model on directed Small-World Networks تأثير حجم الشبيكة على نموذج التصويت بالأغلبية أحادي البعد في شبكات عالم صغير موجهة. Al-Aqsa University Journal (Natural Sciences Series), 22 (1). pp. 124-143. ISSN 2070-3155 (Print), ISSN 2521-893X (Online)

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Abstract

This research, studies the social-physical model in one-dimension (1D) which is known as Majority-Vote model (MVM) and its critical physical properties using the extremely directed small-world networks (DSW). The researchers used the Monte Carlo method to study the MVM for different lattice sizes (L) with probability=0.95, which is the case of the extremely targeted model with nonlocal links. In addition, the critical exponents' ratio are determined, by using critical exponent's ratios , and . The results show that MVM presents identical exponents to the one-dimensional Ising model on directed Small-World networks.

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