Ising Model on Connected Complex Networks
Janusz Hołyst , Krzysztof Suchecki
AbstractIsing dynamics for a system of two weakly connected scale-free networks is analytically investigated using a properly tailored mean field approach. Since order parameters in both networks can be different there are three states of possible spin configurations that correspond to parallel ordered, antiparallel ordered and disordered phases. Transition temperatures between these states are calculated. There is a first-order (discontinuous) phase transition between a phase when both networks possess opposite order parameters and a phase when both networks are parallel ordered. At higher temperature a continuous transition to a paramagnetic phase takes place. The temperature of the first-order phase transition diminishes with the increasing inter-network links density and it becomes zero when the density reaches a critical value. Analytical results based on mean-field approximation are backed up in part with numerical Monte-Carlo simulations.
|Corporate author||The Faculty of Physics, WUT (WF), Instituto de Física Interdisciplinar y Sistemas Complejos (CSIC-UIB)|
|Publication size in sheets||1.65|
|Book||Holovatch Yurij (eds.): Order, Disorder and Criticality: Advanced Problems of Phase Transition Theory - Volume 3, 2013, Singapore, World Scientific Publishing Co Pte Ltd, ISBN 9789814417884, 200 p., DOI:10.1142/9789814417891_0004|
|Score||= 5.0, 11-05-2020, MonographChapterAuthor|
|Publication indicators||= 2|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.