Non-monotonicity and divergent time scale in Axelrod model dynamics
Europhysics Letters (EPL)Published 19 March 2007Open access
Federico Vázquez, S. Redner
Citations54
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
Texto completo preprint.-- 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion \n89.65.-s Social and economic systems \n02.50.Ey Stochastic processes
Keywords
Economics, Econometrics and FinancePhysics and Astronomy
Journal of the Atmospheric SciencesDeterministic Nonperiodic Flow
19,337 Citations1963Edward N. Lorenz
Phase Transitions and Critical Phenomena
11,075 Citations2016
Journal of Mathematical PhysicsTime-Dependent Statistics of the Ising Model
3,638 Citations1963Roy J. Glauber
Interacting Particle Systems
3,429 Citations2016
Grundlehren der mathematischen WissenschaftenInteracting Particle Systems
2,852 Citations1985Thomas M. Liggett
Journal of Conflict ResolutionThe Dissemination of Culture
1,907 Citations1997Robert Axelrod
An agent-based adaptive model reveals the effects of a mechanism of convergent social influence and illustrates how local convergence can generate global polarization.
Advances In PhysicsNon-equilibrium critical phenomena and phase transitions into absorbing states
1,732 Citations2000Haye Hinrichsen
SIAM ReviewMathematical Analysis of HIV-1 Dynamics in Vivo
1,542 Citations1999Alan S. Perelson, Patrick W. Nelson
It is shown how dynamical modeling and parameter estimation techniques have uncovered important features of HIV pathogenesis and impacted the way in which AIDS patients are treated with potent antiretroviral drugs.
Cambridge University Press eBooksNonequilibrium Phase Transitions in Lattice Models
1,499 Citations1999Joaquín Marro, Ronald Dickman
Cambridge University Press eBooksPhase transitions and critical phenomena
1,176 Citations2014J. P. Casquilho, P. I. C. Teixeira
Computational and Mathematical Organization TheoryAligning simulation models: A case study and results
517 Citations1996Robert L. Axtell, Robert Axelrod +2 more
This paper develops the concepts and methods of a process “alignment of computational models” or “docking” for short, needed to determine whether two models can produce the same results, which in turn is the basis for critical experiments and for tests of whether one model can subsume another.
ComplexityMeet, discuss, and segregate!
449 Citations2002Gérard Weisbuch, Guillaume Deffuant +2 more
A model of opinion dynamics in which agents adjust continuous opinions as a result of random binary encounters whenever their difference in opinion is below a given threshold is presented.
Physical Review LettersNonequilibrium Phase Transition in a Model for Social Influence
297 Citations2000Claudio Castellano, Matteo Marsili +1 more
The phase diagram of the Axelrod's model for social influence is studied and a nonequilibrium phase transition separating an ordered (culturally polarized) phase from a disordered ( Culturally fragmented) one is uncovered.
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topicsNonequilibrium transitions in complex networks: A model of social interaction
240 Citations2003Konstantin Klemm, Victor M. Eguı́luz +2 more
The nonequilibrium order-disorder transition of Axelrod's model of social interaction in several complex networks is analyzed, finding a transition between an ordered homogeneous state and a disordered state in a small-world network.
Physical Review AKinetics of monomer-monomer surface catalytic reactions
212 Citations1992P. L. Krapivsky
The kinetics of an irreversible monomer-monomer model of heterogeneous catalysis is studied and it is found that the dynamics of the process is a superposition of zero-temperature spin-flip dynamics and infinite-tem temperature spin-exchange dynamics.
Physica D Nonlinear PhenomenaBifurcations and patterns in compromise processes
201 Citations2003E. Ben-Naim, P.L. Krapivsky +1 more
An opinion dynamics model in which agents reach compromise via pairwise interactions is studied, in which major and minor parties emerge, and these are organized in alternating pattern.
Journal of Physics A Mathematical and GeneralUltimate fate of constrained voters
93 Citations2004Federico Vázquez, S. Redner
The European Physical Journal BOrdering phase transition in the one-dimensional Axelrod model
60 Citations2002D. Vilone, A. Vespignani +1 more