6,957 research outputs found
Social Network Reciprocity as a Phase Transition in Evolutionary Cooperation
In Evolutionary Dynamics the understanding of cooperative phenomena in
natural and social systems has been the subject of intense research during
decades. We focus attention here on the so-called "Lattice Reciprocity"
mechanisms that enhance evolutionary survival of the cooperative phenotype in
the Prisoner's Dilemma game when the population of darwinian replicators
interact through a fixed network of social contacts. Exact results on a "Dipole
Model" are presented, along with a mean-field analysis as well as results from
extensive numerical Monte Carlo simulations. The theoretical framework used is
that of standard Statistical Mechanics of macroscopic systems, but with no
energy considerations. We illustrate the power of this perspective on social
modeling, by consistently interpreting the onset of lattice reciprocity as a
thermodynamical phase transition that, moreover, cannot be captured by a purely
mean-field approach.Comment: 10 pages. APS styl
Focus on the Physics of Cancer
Despite the spectacular achievements of molecular biology in the second half
of the twentieth century and the crucial advances it permitted in cancer
research, the fight against cancer has brought some disillusions. It is
nowadays more and more apparent that getting a global picture of the very
diverse and interlinked aspects of cancer development necessitates, in synergy
with these achievements, other perspectives and investigating tools. In this
undertaking, multidisciplinary approaches that include quantitative sciences in
general and physics in particular play a crucial role. This `focus on'
collection contains 19 articles representative of the diversity and
state-of-the-art of the contributions that physics can bring to the field of
cancer research.Comment: Invited editorial review for the `Focus on the Physics of Cancer'
published by the New journal of Physics in 2011--201
Opinion formation models on a gradient
Statistical physicists have become interested in models of collective social
behavior such as opinion formation, where individuals change their inherently
preferred opinion if their friends disagree. Real preferences often depend on
regional cultural differences, which we model here as a spatial gradient in
the initial opinion. The gradient does not only add reality to the model. It
can also reveal that opinion clusters in two dimensions are typically in the
standard (i.e.\ independent) percolation universality class, thus settling a
recent controversy about a non-consensus model. However, using analytical and
numerical tools, we also present a model where the width of the transition
between opinions scales , not as in
independent percolation, and the cluster size distribution is consistent with
first-order percolation.Comment: 12 pages, 8 figures, version accepted by PLoS ONE, online supplement
added as appendi
Quantum Physics and Human Language
Human languages employ constructions that tacitly assume specific properties
of the limited range of phenomena they evolved to describe. These assumed
properties are true features of that limited context, but may not be general or
precise properties of all the physical situations allowed by fundamental
physics. In brief, human languages contain `excess baggage' that must be
qualified, discarded, or otherwise reformed to give a clear account in the
context of fundamental physics of even the everyday phenomena that the
languages evolved to describe. The surest route to clarity is to express the
constructions of human languages in the language of fundamental physical
theory, not the other way around. These ideas are illustrated by an analysis of
the verb `to happen' and the word `reality' in special relativity and the
modern quantum mechanics of closed systems.Comment: Contribution to the festschrift for G.C. Ghirardi on his 70th
Birthday, minor correction
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