q-Neighbor Ising model on random networks

A. Chmiel, T. Gradowski () and A. Krawiecki ()
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A. Chmiel: Faculty of Physics, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland
T. Gradowski: Faculty of Physics, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland
A. Krawiecki: Faculty of Physics, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland

International Journal of Modern Physics C (IJMPC), 2018, vol. 29, issue 06, 1-16

Abstract: A modified kinetic Ising model with Metropolis dynamics, so-called q-neighbor Ising model, is investigated on random graphs. In this model, each spin interacts only with q spins randomly chosen from its neighborhood. Investigations are performed by means of Monte Carlo (MC) simulations and the analytic pair approximation (PA). The range of parameters such as the size of the q-neighborhood and the mean degree of nodes of the random graph is determined for which the model exhibits continuous or discontinuous ferromagnetic (FM) phase transition with decreasing temperature. It is also shown that, in the case of discontinuous transition for large enough and fixed mean degree of nodes, the width of the hysteresis loop oscillates with the parameter q, expanding for even and shrinking for odd values of q. Predictions of the PA show satisfactory quantitative agreement with results of MC simulations.

Keywords: q-neighbor Ising model; pair approximation; phase transitions (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1142/S0129183118500419

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