dorsal/arxiv
View SchemaMajority-vote on directed Barabasi-Albert networks
| Authors | F. W. S. Lima |
|---|---|
| Categories | |
| ArXiv ID | physics/0511082 |
| URL | https://arxiv.org/abs/physics/0511082 |
| DOI | 10.1142/S0129183106008972 |
Abstract
On directed Barabasi-Albert networks with two and seven neighbours selected by each added site, the Ising model was seen not to show a spontaneous magnetisation. Instead, the decay time for flipping of the magnetisation followed an Arrhenius law for Metropolis and Glauber algorithms, but for Wolff cluster flipping the magnetisation decayed exponentially with time. On these networks the Majority-vote model with noise is now studied through Monte Carlo simulations. However, in this model, the order-disorder phase transition of the order parameter is well defined in this system. We calculate the value of the critical noise parameter q_c for several values of connectivity z of the directed Barabasi-Albert network. The critical exponents beta/nu., gamma/nu and 1/nu were calculated for several values of z.
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"date_created": "2026-03-02T18:01:03.550000Z",
"date_modified": "2026-03-02T18:01:03.550000Z",
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"abstract": "On directed Barabasi-Albert networks with two and seven neighbours selected\nby each added site, the Ising model was seen not to show a spontaneous\nmagnetisation. Instead, the decay time for flipping of the magnetisation\nfollowed an Arrhenius law for Metropolis and Glauber algorithms, but for Wolff\ncluster flipping the magnetisation decayed exponentially with time. On these\nnetworks the Majority-vote model with noise is now studied through Monte Carlo\nsimulations. However, in this model, the order-disorder phase transition of the\norder parameter is well defined in this system. We calculate the value of the\ncritical noise parameter q_c for several values of connectivity z of the\ndirected Barabasi-Albert network. The critical exponents beta/nu., gamma/nu and\n1/nu were calculated for several values of z.",
"arxiv_id": "physics/0511082",
"authors": [
"F. W. S. Lima"
],
"categories": [
"physics.soc-ph"
],
"doi": "10.1142/S0129183106008972",
"title": "Majority-vote on directed Barabasi-Albert networks",
"url": "https://arxiv.org/abs/physics/0511082"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "67204692-10fb-444d-869b-e23f2142ca2a",
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"type": "Model",
"variant": "snapshot-2026-03-01",
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