Heterogeneous out-of-equilibrium nonlinear q-voter model with zealotry
<p>We study the dynamics of the out-of-equilibrium nonlinear <i>q</i>-voter model with two types of susceptible voters and zealots, introduced in Mellor <i>et al</i>. [Europhys. Lett. <b>113</b>, 48001 (2016)]. In this model, each individual supports one of...
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| Format: | Journal article |
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American Physical Society
2017
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| _version_ | 1826257314522333184 |
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| author | Mellor, A Mobilia, M Zia, RKP |
| author_facet | Mellor, A Mobilia, M Zia, RKP |
| author_sort | Mellor, A |
| collection | OXFORD |
| description | <p>We study the dynamics of the out-of-equilibrium nonlinear <i>q</i>-voter model with two types of susceptible voters and zealots, introduced in Mellor <i>et al</i>. [Europhys. Lett. <b>113</b>, 48001 (2016)]. In this model, each individual supports one of two parties and is either a susceptible voter of type <i>q</i><sub>1</sub> or <i>q</i><sub>2</sub>, or is an inflexible zealot. At each time step, a <i>q<sub>i</sub></i>-susceptible voter (<i>i</i>=1,2) consults a group of <i>q<sub>i</sub></i> neighbors and adopts their opinion if all group members agree, while zealots are inflexible and never change their opinion. This model violates detailed balance whenever <i>q</i><sub>1</sub>≠<i>q</i><sub>2</sub> and is characterized by two distinct regimes of low and high density of zealotry. Here, by combining analytical and numerical methods, we investigate the nonequilibrium stationary state of the system in terms of its probability distribution, nonvanishing currents, and unequal-time two-point correlation functions. We also study the switching time properties of the model by exploiting an approximate mapping onto the model of Mobilia [Phys. Rev. E <b>92</b>, 012803 (2015)] that satisfies the detailed balance, and we outline some properties of the model near criticality.</p> |
| first_indexed | 2024-03-06T18:16:13Z |
| format | Journal article |
| id | oxford-uuid:04b55d4b-c8ba-4ba9-9a80-f691e4ba6bcb |
| institution | University of Oxford |
| last_indexed | 2024-03-06T18:16:13Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:04b55d4b-c8ba-4ba9-9a80-f691e4ba6bcb2022-03-26T08:53:14ZHeterogeneous out-of-equilibrium nonlinear q-voter model with zealotryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:04b55d4b-c8ba-4ba9-9a80-f691e4ba6bcbIsing modelstochastic analysismean field theoryFokker–Planck equationnonequilibrium & irreversible thermodynamicsfluctuations & noisestatistical physicsstochastic processessocial dynamicsnonequilibrium statistical mechanicsSymplectic Elements at OxfordAmerican Physical Society2017Mellor, AMobilia, MZia, RKP <p>We study the dynamics of the out-of-equilibrium nonlinear <i>q</i>-voter model with two types of susceptible voters and zealots, introduced in Mellor <i>et al</i>. [Europhys. Lett. <b>113</b>, 48001 (2016)]. In this model, each individual supports one of two parties and is either a susceptible voter of type <i>q</i><sub>1</sub> or <i>q</i><sub>2</sub>, or is an inflexible zealot. At each time step, a <i>q<sub>i</sub></i>-susceptible voter (<i>i</i>=1,2) consults a group of <i>q<sub>i</sub></i> neighbors and adopts their opinion if all group members agree, while zealots are inflexible and never change their opinion. This model violates detailed balance whenever <i>q</i><sub>1</sub>≠<i>q</i><sub>2</sub> and is characterized by two distinct regimes of low and high density of zealotry. Here, by combining analytical and numerical methods, we investigate the nonequilibrium stationary state of the system in terms of its probability distribution, nonvanishing currents, and unequal-time two-point correlation functions. We also study the switching time properties of the model by exploiting an approximate mapping onto the model of Mobilia [Phys. Rev. E <b>92</b>, 012803 (2015)] that satisfies the detailed balance, and we outline some properties of the model near criticality.</p> |
| spellingShingle | Ising model stochastic analysis mean field theory Fokker–Planck equation nonequilibrium & irreversible thermodynamics fluctuations & noise statistical physics stochastic processes social dynamics nonequilibrium statistical mechanics Mellor, A Mobilia, M Zia, RKP Heterogeneous out-of-equilibrium nonlinear q-voter model with zealotry |
| title | Heterogeneous out-of-equilibrium nonlinear q-voter model with zealotry |
| title_full | Heterogeneous out-of-equilibrium nonlinear q-voter model with zealotry |
| title_fullStr | Heterogeneous out-of-equilibrium nonlinear q-voter model with zealotry |
| title_full_unstemmed | Heterogeneous out-of-equilibrium nonlinear q-voter model with zealotry |
| title_short | Heterogeneous out-of-equilibrium nonlinear q-voter model with zealotry |
| title_sort | heterogeneous out of equilibrium nonlinear q voter model with zealotry |
| topic | Ising model stochastic analysis mean field theory Fokker–Planck equation nonequilibrium & irreversible thermodynamics fluctuations & noise statistical physics stochastic processes social dynamics nonequilibrium statistical mechanics |
| work_keys_str_mv | AT mellora heterogeneousoutofequilibriumnonlinearqvotermodelwithzealotry AT mobiliam heterogeneousoutofequilibriumnonlinearqvotermodelwithzealotry AT ziarkp heterogeneousoutofequilibriumnonlinearqvotermodelwithzealotry |