On the effect of heterogeneity in stochastic interacting-particle systems

Abstract

We study stochastic particle systems made up of heterogeneous units. We introduce a general framework suitable to analytically study this kind of systems and apply it to two particular models of interest in economy and epidemiology. We show that particle heterogeneity can enhance or decrease the collective fluctuations depending on the system, and that it is possible to infer the degree and the form of the heterogeneity distribution in the system by measuring only global variables and their fluctuations.

References in corpus (6)

• Statistical mechanics of complex networks
• Social consensus through the influence of committed minorities
• Diversity-induced resonance
• Heterogeneous Voter Models
• Voting and Catalytic Processes with Inhomogeneities
• Critical behavior of a Ginzburg-Landau model with additive quenched noise

Cited by in corpus (12)

• The noisy voter model on complex networks
• Zealots in the mean-field noisy voter model
• Competing contagion processes: Complex contagion triggered by simple contagion
• Stochastic pair approximation treatment of the noisy voter model
• How to address cellular heterogeneity by distribution biology
• Herding and idiosyncratic choices: Nonlinearity and aging-induced transitions in the noisy voter model
• Consensus, polarisation and coexistence in a continuous opinion dynamics model with quenched disorder
• Binary-state dynamics on complex networks: Stochastic pair approximation and beyond
• Opinion Dynamics on Networks under Correlated Disordered External Perturbations
• Persistent individual bias in a voter model with quenched disorder
• The effects of heterogeneity on stochastic cycles in epidemics
• Connecting metapopulation heterogeneity to aggregated lifetime statistics