Reactivating dynamics for the susceptible-infected-susceptible model: a simple method to simulate the absorbing phase. (12th April 2018)

• Record Type: Journal Article
• Authors: Macedo-Filho, A; Alves, G A; Costa Filho, R N; Alves, T F A
• Is Part Of: Journal of statistical mechanics. (2018:Apr.)
• Publication Date: 2018-04-12
• Subjects: 3 -- 16 -- 4 -- 10; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/aab04a
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: We investigated the susceptible-infected-susceptible model on a square lattice in the presence of a conjugated field based on recently proposed reactivating dynamics. Reactivating dynamics consists of reactivating the infection by adding one infected site, chosen randomly when the infection dies out, avoiding the dynamics being trapped in the absorbing state. We show that the reactivating dynamics can be interpreted as the usual dynamics performed in the presence of an effective conjugated field, named the reactivating field. The reactivating field scales as the inverse of the lattice number of vertices n, which vanishes at the thermodynamic limit and does not affect any scaling properties including ones related to the conjugated field.