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  • Mean-field analysis of the q-voter model on networks

     Moretti, Paolo; Liu, Suyu; Castellano, Claudio; Pastor Satorras, Romualdo
    Journal of statistical physics
    Date of publication: 2013-04-01
    Journal article

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    We present a detailed investigation of the behavior of the nonlinear q-voter model for opinion dynamics. At the mean-field level we derive analytically, for any value of the number q of agents involved in the elementary update, the phase diagram, the exit probability and the consensus time at the transition point. The mean-field formalism is extended to the case that the interaction pattern is given by generic heterogeneous networks. We finally discuss the case of random regular networks and compare analytical results with simulations.

  • Generalized voter-like models on heterogeneous networks

     Moretti, Paolo; Baronchelli, Andrea; Starnini, Michele; Pastor Satorras, Romualdo
    Date of publication: 2013
    Book chapter

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    This Chapter presents a generalized model of consensus formation, which is able to encompass all previous formulations of copy/invasion processes inspired by variations on the voter model and the Moran process. It considered the implementation of such generalized dynamics on a heterogeneous contact pattern, represented by a complex network, and derived the theoretical predictions for the relevant dynamical quantities, within the assumptions of the heterogeneous mean-field theory. The chapter provides a brief review of previous results that can be recovered by this generalized formalism, and considers a novel application to the case of opinion formation in a social network. In particular, it addressed the case in which the opinion strength of an individual is related to his/her degree centrality in the network.

  • Heterogenous mean-field analysis of a generalized voter-like model on networks

     Moretti, Paolo; Liu, S.Y.; Baronchelli, Andrea; Pastor Satorras, Romualdo
    European physical journal B
    Date of publication: 2012-03
    Journal article

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    Yielding and irreversible deformation below the microscale: surface effects and non-mean-field plastic avalanches  Open access

     Moretti, Paolo; Cerruti, Benedetta; Miguel, M. Carmen
    PLoS one
    Date of publication: 2011-06-07
    Journal article

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    Nanoindentation techniques recently developed to measure the mechanical response of crystals under external loading conditions reveal new phenomena upon decreasing sample size below the microscale. At small length scales, material resistance to irreversible deformation depends on sample morphology. Here we study the mechanisms of yield and plastic flow in inherently small crystals under uniaxial compression. Discrete structural rearrangements emerge as a series of abrupt discontinuities in stress-strain curves. We obtain the theoretical dependence of the yield stress on system size and geometry and elucidate the statistical properties of plastic deformation at such scales. Our results show that the absence of dislocation storage leads to crucial effects on the statistics of plastic events, ultimately affecting the universal scaling behavior observed at larger scales.

  • Complex networks and glassy dynamics: walks in the energy landscape

     Moretti, Paolo; Baronchelli, Andrea; Barrat, Alain; Pastor Satorras, Romualdo
    Journal of statistical mechanics: Theory and experiment
    Date of publication: 2010-03
    Journal article

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