Fundamental ingredients for discontinuous phase transitions in the inertial majority vote model

Autor(es)

Encinas, Jesus M. ^[1] ; Harunari, Pedro E. ^[1] ; de Oliveira, M. M. ^[2] ; Fiore, Carlos E. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Fis, Caixa Postal 66318, BR-05315970 Sao Paulo, SP - Brazil

^[2] Univ Fed Sao Joao del Rei, CAP, Dept Fis & Matemat, BR-36420000 Ouro Branco, MG - Brazil

• Tipo de documento: Artigo Científico
• Fonte: SCIENTIFIC REPORTS; v. 8, JUN 19 2018.
• Citações Web of Science: 5

Resumo

Discontinuous transitions have received considerable interest due to the uncovering that many phenomena such as catastrophic changes, epidemic outbreaks and synchronization present a behavior signed by abrupt (macroscopic) changes (instead of smooth ones) as a tuning parameter is changed. However, in different cases there are still scarce microscopic models reproducing such above trademarks. With these ideas in mind, we investigate the key ingredients underpinning the discontinuous transition in one of the simplest systems with up-down Z(2) symmetry recently ascertained in {[}Phys. Rev. E 95, 042304 (2017)]. Such system, in the presence of an extra ingredient-the inertia-has its continuous transition being switched to a discontinuous one in complex networks. We scrutinize the role of three central ingredients: inertia, system degree, and the lattice topology. Our analysis has been carried out for regular lattices and random regular networks with different node degrees (interacting neighborhood) through mean-field theory (MFT) treatment and numerical simulations. Our findings reveal that not only the inertia but also the connectivity constitute essential elements for shifting the phase transition. Astoundingly, they also manifest in low-dimensional regular topologies, exposing a scaling behavior entirely different than those from the complex networks case. Therefore, our findings put on firmer bases the essential issues for the manifestation of discontinuous transitions in such relevant class of systems with Z(2) symmetry. (AU)

• Processo FAPESP: 17/24567-0 - Transição de fase, desordem temporal e produção de entropia em sistemas com simetria de inversão
• Beneficiário: Pedro Eduardo Harunari
• Modalidade de apoio: Bolsas no Brasil - Doutorado Direto