Discontinuous transitions can survive to quenched disorder in a two-dimensional nonequilibrium system

2019/11/30 by Minos A. Neto, E. Brigatti, Edgardo Brigatti
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Condensed matter physics #Focus (optics) #Mathematics #Non-equilibrium thermodynamics #Opinion Dynamics and Social Influence #Optics #Phase transition #Physics #Scaling #Scaling law #Statistical physics #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech #physics.comp-ph

paper · pdf · doi:10.1103/physreve.101.022112

published as Phys. Rev. E 101, 022112 (2020) · 5 pages, 4 figures. arXiv admin note: text overlap with arXiv:1609.02869

openalex publication_date 2020/02/11 · arxiv created 2020/02/17 · arxiv updated 2020/02/18 · openalex created_date 2020/02/24 · openalex updated_date 2026/08/05

Abstract

We explore the effects that quenched disorder has on discontinuous nonequilibrium phase transitions into absorbing states. We focus our analysis on the naming game model, a nonequilibrium low-dimensional system with different absorbing states. The results obtained by means of the finite-size scaling analysis and from the study of the temporal dynamics of the density of active sites near the transition point evidence that the spatial quenched disorder does not destroy the discontinuous transition.

Citations

• Finite size scaling analysis of a nonequilibrium phase transition in the naming game model
• Modeling the emergence of universality in color naming patterns
• Collective motion of self-propelled particles interacting without cohesion
• Nonequilibrium phase transition in negotiation dynamics
• Consequence of reputation in an open-ended naming game
• Viability of an elementary syntactic structure in a population playing naming games
• Cultural route to the emergence of linguistic categories
• Exact results for kinetics of catalytic reactions