2,017 research outputs found
Aging and fluctuation-dissipation ratio in a nonequilibrium -state lattice model
A generalized version of the nonequilibrium linear Glauber model with
states in dimensions is introduced and analyzed. The model is fully
symmetric, its dynamics being invariant under all permutations of the
states. Exact expressions for the two-time autocorrelation and response
functions on a -dimensional lattice are obtained. In the stationary regime,
the fluctuation-dissipation theorem holds, while in the transient the aging is
observed with the fluctuation-dissipation ratio leading to the value predicted
for the linear Glauber model
Nonlinear evolution of r-modes: the role of differential rotation
Recent work has shown that differential rotation, producing large scale
drifts of fluid elements along stellar latitudes, is an unavoidable feature of
r-modes in the nonlinear theory. We investigate the role of this differential
rotation in the evolution of the l=2 r-mode instability of a newly born, hot,
rapidly rotating neutron star. It is shown that the amplitude of the r-mode
saturates a few hundred seconds after the mode instability sets in. The
saturation amplitude depends on the amount of differential rotation at the time
the instability becomes active and can take values much smaller than unity. It
is also shown that, independently of the saturation amplitude of the mode, the
star spins down to rotation rates that are comparable to the inferred initial
rotation rates of the fastest pulsars associated with supernova remnants.
Finally, it is shown that, when the drift of fluid elements at the time the
instability sets in is significant, most of the initial angular momentum of the
star is transferred to the r-mode and, consequently, almost none is carried
away by gravitational radiation.Comment: 10 pages, 5 figure
Critical behavior in lattice models with two symmetric absorbing state
We analyze nonequilibrium lattice models with up-down symmetry and two
absorbing states by mean-field approximations and numerical simulations in two
and three dimensions. The phase diagram displays three phases: paramagnetic,
ferromagnetic and absorbing. The transition line between the first two phases
belongs to the Ising universality class and between the last two, to the direct
percolation universality class. The two lines meet at the point describing the
voter model and the size of the ferromagnetic phase vanishes with the
distance to the voter point as , with
possible logarithm corrections in two dimensions
SIRS dynamics on random networks: simulations and analytical models
The standard pair approximation equations (PA) for the
Susceptible-Infective-Recovered-Susceptible (SIRS) model of infection spread on
a network of homogeneous degree predict a thin phase of sustained
oscillations for parameter values that correspond to diseases that confer long
lasting immunity. Here we present a study of the dependence of this oscillatory
phase on the parameter and of its relevance to understand the behaviour of
simulations on networks. For , we compare the phase diagram of the PA
model with the results of simulations on regular random graphs (RRG) of the
same degree. We show that for parameter values in the oscillatory phase, and
even for large system sizes, the simulations either die out or exhibit damped
oscillations, depending on the initial conditions. This failure of the standard
PA model to capture the qualitative behaviour of the simulations on large RRGs
is currently being investigated.Comment: 6 pages, 3 figures, WIPP to be published in Conference proceedings
Complex'2009 February 23-25, Shanghai, Chin
Has a Higgs-flavon with a GeV mass been detected at the LHC13?
Higgs-flavon fields appear as a part of the Froggatt-Nielsen (FN) mechanism,
which attempts to explain the hierarchy of Yukawa couplings. We explore the
possibility that the 750 GeV diphoton resonance recently reported at the LHC13,
could be identified with a low-scale Higgs-flavon field and find the
region of the parameter space consistent with CMS and ATLAS data. It is found
that the extra vector-like fermions of the ultraviolet completion of the FN
mechanism are necessary in order to reproduce the observed signal. We consider
a standard model (SM) extension that contains two Higgs doublets (a standard
one and an inert one) and one complex FN singlet. The inert doublet includes a
stable neutral boson, which provides a viable dark matter candidate, while the
mixing of the standard doublet and the FN singlet induces flavor violation in
the Higgs sector at the tree-level. Constraints on the parameters of the model
are derived from the LHC Higgs data, which include the search for the lepton
flavor violating decay of the SM Higgs boson . It is also
found that in some region of the parameter space the model may give rise to a
large branching ratio for the decay, of the order of 0.1, which
could be searched for at the LHC.Comment: 18 pages, 7 Figures, includes updated files to match published
versio
The influence of differential rotation on the detectability of gravitational waves from the r-mode instability
Recently, it was shown that differential rotation is an unavoidable feature
of nonlinear r-modes. We investigate the influence of this differential
rotation on the detectability of gravitational waves emitted by a newly born,
hot, rapidly-rotating neutron star, as it spins down due to the r-mode
instability. We conclude that gravitational radiation may be detected by the
advanced laser interferometer detector LIGO if the amount of differential
rotation at the time the r-mode instability becomes active is not very high.Comment: 8 pages, 6 figures, revtex
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