44 research outputs found
Lack of consensus in social systems
We propose an exactly solvable model for the dynamics of voters in a
two-party system. The opinion formation process is modeled on a random network
of agents. The dynamical nature of interpersonal relations is also reflected in
the model, as the connections in the network evolve with the dynamics of the
voters. In the infinite time limit, an exact solution predicts the emergence of
consensus, for arbitrary initial conditions. However, before consensus is
reached, two different metastable states can persist for exponentially long
times. One state reflects a perfect balancing of opinions, the other reflects a
completely static situation. An estimate of the associated lifetimes suggests
that lack of consensus is typical for large systems.Comment: 4 pages, 6 figures, submitted to Phys. Rev. Let
A diffusion-induced transition in the phase separation of binary fluid mixtures subjected to a temperature ramp
Demixing of binary fluids subjected to slow temperature ramps shows repeated
waves of nucleation which arise as a consequence of the competition between
generation of supersaturation by the temperature ramp and relaxation of
supersaturation by diffusive transport and flow. Here, we use an
advection-reaction-diffusion model to study the oscillations in the weak- and
strong-diffusion regime. There is a sharp transition between the two regimes,
which can only be understood based on the probability distribution function of
the composition rather than in terms of the average composition. We argue that
this transition might be responsible for some yet unclear features of
experiments, like the appearance of secondary oscillations and bimodal droplet
size distributions.Comment: 6 pages, 3 color figure
Perturbed nonlinear models from Noncommutativity
By means of the Ehrenfest's Theorem inside the context of a noncommutative
Quantum Mechanics it is obtained the Newton's Second Law in noncommutative
space. Considering discrete systems with infinite degrees of freedom whose
dynamical evolutions are governed by the noncommutative Newton's Second Law we
have constructed some alternative noncommutative generalizations of
two-dimensional field theories.Comment: 6 pages. v2 minor changes added and references adde
The Naming Game in Social Networks: Community Formation and Consensus Engineering
We study the dynamics of the Naming Game [Baronchelli et al., (2006) J. Stat.
Mech.: Theory Exp. P06014] in empirical social networks. This stylized
agent-based model captures essential features of agreement dynamics in a
network of autonomous agents, corresponding to the development of shared
classification schemes in a network of artificial agents or opinion spreading
and social dynamics in social networks. Our study focuses on the impact that
communities in the underlying social graphs have on the outcome of the
agreement process. We find that networks with strong community structure hinder
the system from reaching global agreement; the evolution of the Naming Game in
these networks maintains clusters of coexisting opinions indefinitely. Further,
we investigate agent-based network strategies to facilitate convergence to
global consensus.Comment: The original publication is available at
http://www.springerlink.com/content/70370l311m1u0ng3
Opinion dynamics: models, extensions and external effects
Recently, social phenomena have received a lot of attention not only from
social scientists, but also from physicists, mathematicians and computer
scientists, in the emerging interdisciplinary field of complex system science.
Opinion dynamics is one of the processes studied, since opinions are the
drivers of human behaviour, and play a crucial role in many global challenges
that our complex world and societies are facing: global financial crises,
global pandemics, growth of cities, urbanisation and migration patterns, and
last but not least important, climate change and environmental sustainability
and protection. Opinion formation is a complex process affected by the
interplay of different elements, including the individual predisposition, the
influence of positive and negative peer interaction (social networks playing a
crucial role in this respect), the information each individual is exposed to,
and many others. Several models inspired from those in use in physics have been
developed to encompass many of these elements, and to allow for the
identification of the mechanisms involved in the opinion formation process and
the understanding of their role, with the practical aim of simulating opinion
formation and spreading under various conditions. These modelling schemes range
from binary simple models such as the voter model, to multi-dimensional
continuous approaches. Here, we provide a review of recent methods, focusing on
models employing both peer interaction and external information, and
emphasising the role that less studied mechanisms, such as disagreement, has in
driving the opinion dynamics. [...]Comment: 42 pages, 6 figure
Short Distance vs. Long Distance Physics: The Classical Limit of the Minimal Length Uncertainty Relation
We continue our investigation of the phenomenological implications of the
"deformed" commutation relations [x_i,p_j]=i hbar[(1 + beta p^2) delta_{ij} +
beta' p_i p_j]. These commutation relations are motivated by the fact that they
lead to the minimal length uncertainty relation which appears in perturbative
string theory. In this paper, we consider the effects of the deformation on the
classical orbits of particles in a central force potential. Comparison with
observation places severe constraints on the value of the minimum length.Comment: 20 pages REVTEX4, 4 color eps figures, typos correcte