2,999 research outputs found
From Phase to Micro-Phase Separation in Flocking Models: The Essential Role of Non-Equilibrium Fluctuations
We show that the flocking transition in the Vicsek model is best understood
as a liquid-gas transition, rather than an order-disorder one. The full phase
separation observed in flocking models with Z2 rotational symmetry is, however,
replaced by a microphase separation leading to a smectic arrangement of
traveling ordered bands. Remarkably, continuous deterministic descriptions do
not account for this difference, which is only recovered at the fluctuating
hydrodynamics level. Scalar and vectorial order parameters indeed produce
different types of number fluctuations, which we show to be essential in
selecting the inhomogeneous patterns. This highlights an unexpected role of
fluctuations in the selection of flock shapes.Comment: 5 p., 5 fig.. Supplementary material: 7 movie
Lyapunov analysis captures the collective dynamics of large chaotic systems
We show, using generic globally-coupled systems, that the collective dynamics
of large chaotic systems is encoded in their Lyapunov spectra: most modes are
typically localized on a few degrees of freedom, but some are delocalized,
acting collectively on the trajectory. For globally-coupled maps, we show
moreover a quantitative correspondence between the collective modes and some of
the so-called Perron-Frobenius dynamics. Our results imply that the
conventional definition of extensivity must be changed as soon as collective
dynamics sets in.Comment: 4 pages, 4 figures; small changes, mostly stylistic, made in v
Minimal model for active nematics: quasi-long-range order and giant fluctuations
We propose a minimal microscopic model for active nematic particles similar
in spirit to the Vicsek model for self-propelled polar particles. In two
dimensions, we show that this model exhibits a Kosterlitz-Thouless-like
transition to quasi-long-range orientational order and that in this
non-equilibrium context, the ordered phase is characterized by giant density
fluctuations, in agreement with the predictions of Ramaswamy {\it et al.}
[Europhys. Lett. {\bf 62}, 196 (2003)].Comment: Submitted to Phys. Rev. Lett. 4 pages, 4 figure
REAM intensity modulator-enabled 10Gb/s colorless upstream transmission of real-time optical OFDM signals in a single-fiber-based bidirectional PON architecture
Reflective electro-absorption modulation-intensity modulators (REAM-IMs) are utilized, for the first time, to experimentally demonstrate colorless ONUs in single-fiber-based, bidirectional, intensity-modulation and direct-detection (IMDD), optical OFDM PONs (OOFDM-PONs) incorporating 25km SSMFs and OLT-side-seeded CW optical signals. The colorlessness of the REAM-IMs is characterized, based on which optimum REAM-IM operating conditions are identified. In the aforementioned PON architecture, 10Gb/s colorless upstream transmissions of end-to-end realtime OOFDM signals are successfully achieved for various wavelengths within the entire C-band. Over such a wavelength window, corresponding minimum received optical powers at the FEC limit vary in a range as small as <0.5dB. In addition, experimental measurements also indicate that Rayleigh backscattering imposes a 2.8dB optical power penalty on the 10Gb/s over 25km upstream OOFDM signal transmission. Furthermore, making use of on-line adaptive bit and power loading, a linear trade-off between aggregated signal line rate and optical power budget is observed, which shows that, for the present PON system, a 10% reduction in signal line rate can improve the optical power budget by 2.6dB. © 2012 Optical Society of America
Absorbing Phase Transitions of Branching-Annihilating Random Walks
The phase transitions to absorbing states of the branching-annihilating
reaction-diffusion processes mA --> (m+k)A, nA --> (n-l)A are studied
systematically in one space dimension within a new family of models. Four
universality classes of non-trivial critical behavior are found. This provides,
in particular, the first evidence of universal scaling laws for pair and
triplet processes.Comment: 4 pages, 4 figure
Permafrost - physical aspects and carbon cycling, databases and uncertainties
Permafrost is defined as ground that remains below 0°C for at least 2 consecutive years. About 24% of the northern hemisphere land area is underlain by permafrost. The thawing of permafrost has the potential to influence the climate system through the release of carbon (C) from northern high latitude terrestrial ecosystems, but there is substantial uncertainty about the sensitivity of the C cycle to thawing permafrost. Soil C can be mobilized from permafrost in response to changes in air temperature, directional changes in water balance, fire, thermokarst, and flooding. Observation networks need to be implemented to understand responses of
permafrost and C at a range of temporal and spatial scales. The understanding gained from these observation networks needs to be integrated into modeling frameworks capable of representing how the responses of permafrost C will influence the trajectory of climate in the future
On the "generalized Generalized Langevin Equation"
In molecular dynamics simulations and single molecule experiments,
observables are usually measured along dynamic trajectories and then averaged
over an ensemble ("bundle") of trajectories. Under stationary conditions, the
time-evolution of such averages is described by the generalized Langevin
equation. In contrast, if the dynamics is not stationary, it is not a priori
clear which form the equation of motion for an averaged observable has. We
employ the formalism of time-dependent projection operator techniques to derive
the equation of motion for a non-equilibrium trajectory-averaged observable as
well as for its non-stationary auto-correlation function. The equation is
similar in structure to the generalized Langevin equation, but exhibits a
time-dependent memory kernel as well as a fluctuating force that implicitly
depends on the initial conditions of the process. We also derive a relation
between this memory kernel and the autocorrelation function of the fluctuating
force that has a structure similar to a fluctuation-dissipation relation. In
addition, we show how the choice of the projection operator allows to relate
the Taylor expansion of the memory kernel to data that is accessible in MD
simulations and experiments, thus allowing to construct the equation of motion.
As a numerical example, the procedure is applied to Brownian motion initialized
in non-equilibrium conditions, and is shown to be consistent with direct
measurements from simulations
Extirpation of Atlantic Cod from a Northwest Atlantic ecosystem in the absence of predator control: inference from an ecosystem model of intermediate complexity
Atlantic cod (Gadus morhua) in the southern Gulf of St. Lawrence (sGSL)
declined to low abundance in the early 1990s and have since failed to recover
due to high natural mortality, which has been linked to grey seal (Halichoerus
grypus) predation. Increased grey seal harvests have been suggested to improve
cod survival, however, predicting the response of cod to seal abundance changes
in the sGSL is complicated by a hypothesized triangular food web involving
seals, cod, and small pelagic fishes, wherein the pelagic fishes are prey for
cod and grey seals, but may also prey on young cod. Grey seals may therefore
have an indirect positive effect on prerecruit cod survival via predation on
pelagic fish. Using a multispecies model of intermediate complexity fitted to
various scientific and fisheries data, we found that seal predation accounted
for the majority of recent cod mortality and that cod will likely be extirpated
without a strong and rapid reduction in grey seal abundance. We did not find
evidence that reducing grey seal abundance will result in large increases to
herring biomass that could impair cod recovery.Comment: 41 pages, 10 figures, 2 tables, 5 appendice
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