1,843 research outputs found
Multiplicity of species in some replicative systems
In an attempt to explain the uniqueness of the coding mechanism of living
cells as contrasted with multi-species structure of ecosystems we examine two
models of individuals with some replicative properties. In the first model the
system generically remains in a multi-species state. Even though for some of
these species the replicative probability is very high, they are unable to
invade the system. In the second model, in which the death rate depends on the
type of the species, the system relatively quickly reaches a single-species
state and fluctuations might at most bring it to yet another single-species
state.Comment: 9 pages, 7 figures, submitted to Phys.Rev.
Some recent developments in models with absorbing states
We describe some of the recent results obtained for models with absorbing
states. First, we present the nonequilibrium absorbing-state Potts model and
discuss some of the factors that might affect the critical behaviour of such
models. In particular we show that in two dimensions the further neighbour
interactions might split the voter critical point into two critical points. We
also describe some of the results obtained in the context of synchronization of
chaotic dynamical systems. Moreover, we discuss the relation of the
synchronization transition with some interfacial models.Comment: 8 pages, Brazilian J. of Physics (in press
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