%0 Journal Article %1 WOS:000375659800001 %A Filho, C I N Sampaio %A dos Santos, T B %A Moreira, A A %A Moreira, F G B %A Jr., J S Andrade %C ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA %D 2016 %I AMER PHYSICAL SOC %J PHYSICAL REVIEW E %K imported %N 5 %R 10.1103/PhysRevE.93.052101 %T Majority-vote model on spatially embedded networks: Crossover from mean-field to Ising universality classes %V 93 %X We study through Monte Carlo simulations and finite-size scaling analysis the nonequilibrium phase transitions of the majority-vote model taking place on spatially embedded networks. These structures are built from an underlying regular lattice over which directed long-range connections are randomly added according to the probability P-ij similar to r(-alpha), where r(ij) is the Manhattan distance between nodes i and j, and the exponent alpha is a controlling parameter J. M. Kleinberg, Nature (London) 406, 845 (2000). Our results show that the collective behavior of this system exhibits a continuous order-disorder phase transition at a critical parameter, which is a decreasing function of the exponent alpha. Precisely, considering the scaling functions and the critical exponents calculated, we conclude that the system undergoes a crossover among distinct universality classes. For alpha <= 3 the critical behavior is described by mean-field exponents, while for alpha >= 4 it belongs to the Ising universality class. Finally, in the region where the crossover occurs, 3 < alpha < 4, the critical exponents are dependent on alpha.

@article{WOS:000375659800001, abstract = {We study through Monte Carlo simulations and finite-size scaling analysis the nonequilibrium phase transitions of the majority-vote model taking place on spatially embedded networks. These structures are built from an underlying regular lattice over which directed long-range connections are randomly added according to the probability P-ij similar to r(-alpha), where r(ij) is the Manhattan distance between nodes i and j, and the exponent alpha is a controlling parameter [J. M. Kleinberg, Nature (London) 406, 845 (2000)]. Our results show that the collective behavior of this system exhibits a continuous order-disorder phase transition at a critical parameter, which is a decreasing function of the exponent alpha. Precisely, considering the scaling functions and the critical exponents calculated, we conclude that the system undergoes a crossover among distinct universality classes. For alpha <= 3 the critical behavior is described by mean-field exponents, while for alpha >= 4 it belongs to the Ising universality class. Finally, in the region where the crossover occurs, 3 < alpha < 4, the critical exponents are dependent on alpha.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, author = {Filho, C I N Sampaio and dos Santos, T B and Moreira, A A and Moreira, F G B and Jr., J S Andrade}, biburl = {https://www.bibsonomy.org/bibtex/2c03acee3b6d565103574f360e9f024c8/ppgfis_ufc_br}, doi = {10.1103/PhysRevE.93.052101}, interhash = {1481c8d2e47074151b047a0f4d1ce5d7}, intrahash = {c03acee3b6d565103574f360e9f024c8}, issn = {2470-0045}, journal = {PHYSICAL REVIEW E}, keywords = {imported}, number = 5, publisher = {AMER PHYSICAL SOC}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Majority-vote model on spatially embedded networks: Crossover from mean-field to Ising universality classes}, tppubtype = {article}, volume = 93, year = 2016 }