95,295 research outputs found
Scalar dark energy models mimicking CDM with arbitrary future evolution
Dark energy models with various scenarios of evolution are considered from
the viewpoint of the formalism for the equation of state. It is shown that
these models are compatible with current astronomical data. Some of the models
presented here evolve arbitrarily close to CDM up to the present, but
diverge in the future into a number of different possible asymptotic states,
including asymptotic de-Sitter (pseudo-rip) evolution, little rips with
disintegration of bound structures, and various forms of finite-time future
singularities. Therefore it is impossible from observational data to determine
whether the universe will end in a future singularity or not. We demonstrate
that the models under consideration are stable for a long period of time
(billions of years) before entering a Little Rip/Pseudo-Rip induced dissolution
of bound structures or before entering a soft finite-time future singularity.
Finally, the physical consequences of Little Rip, Type II, III and Big Crush
singularities are briefly compared.Comment: 15 pages, 1 figure, version to appear in Physics Letters
Wall-bounded turbulent flows at high Reynolds numbers: Recent advances and key issues
Wall-bounded turbulent flows at high Reynolds numbers have become an increasingly active area of
research in recent years. Many challenges remain in theory, scaling, physical understanding,
experimental techniques, and numerical simulations. In this paper we distill the salient advances of
recent origin, particularly those that challenge textbook orthodoxy. Some of the outstanding
questions, such as the extent of the logarithmic overlap layer, the universality or otherwise of the
principal model parameters such as the von Kármán “constant,” the parametrization of roughness
effects, and the scaling of mean flow and Reynolds stresses, are highlighted. Research avenues that
may provide answers to these questions, notably the improvement of measuring techniques and the
construction of new facilities, are identified. We also highlight aspects where differences of opinion
persist, with the expectation that this discussion might mark the beginning of their resolution
Symmetry related dynamics in parallel shear flows
Parallel shear flows come with continuous symmetries of translation in the
downstream and spanwise direction. As a consequence, flow states that differ in
their spanwise or downstream location but are otherwise identical are
dynamically equivalent. In the case of travelling waves, this trivial degree of
freedom can be removed by going to a frame of reference that moves with the
state, thereby turning the travelling wave in the laboratory frame to a fixed
point in the comoving frame of reference. We here discuss a general method by
which the translational displacements can be removed also for more complicated
and dynamically active states and demonstrate its application for several
examples. For flows states in the asymptotic suction boundary layer we show
that in the case of the long-period oscillatory edge state we can find local
phase speeds which remove the fast oscillations and reveal the slow vortex
dynamics underlying the burst phenomenon. For spanwise translating states we
show that the method removes the drift but not the dynamical events that cause
the big spanwise displacement. For a turbulent case we apply the method to the
spanwise shifts and find slow components that are correlated over very long
times. Calculations for plane Poiseuille flow show that the long correlations
in the transverse motions are not special to the asymptotic suction boundary
layer
A multi-level interface model for damaged masonry
The aim of the present work is to propose a new micro-mechanical model in the context of the deductive approach used to derive interface models. This model, based on a previous study introduced previously by A. Rekik and F. Lebon, is used to reproduce the damage in masonry by combining structural analysis and homogenization methods. The focal point of this method is to assume the existence of a third material, called interphase, which is a mixture of the two principal constituents of masonry, brick and mortar, and that is the interface between them. This new element presents a low thickness, a low stiffness and a given damage ratio. The mechanical problem of masonry, initially a 3D problem, is solved numerically as a 2D problem using finite element methods. The properties of the interface brick-mortar material are obtained using three essentials steps. First of all, an exact homogenisation of a laminates is used to define a first homogeneous equivalent medium named HEM-1. After, the assumption of damaged material is taken into account by using the general framework given by M. Kachanov to evaluate the global behaviour of the damaged HEM-1 defining thus a second equivalent homogeneous medium noted HEM-2. The last step consists in using an asymptotic analysis technique which is performed to model HEM-2 as an interface or a joint. The properties of this joint are deduced from those of the HEM-2 material as proposed in former papers. Particularly, through the second homogenization are taken into account the variability of microcracks oriented family and simultaneously the opening-closure effects (unilateral behaviour). Numerically this interface is modelled with connector finite elements. Numerical results are compared to experimental ones available in the literature
Neutral Evolution of Mutational Robustness
We introduce and analyze a general model of a population evolving over a
network of selectively neutral genotypes. We show that the population's limit
distribution on the neutral network is solely determined by the network
topology and given by the principal eigenvector of the network's adjacency
matrix. Moreover, the average number of neutral mutant neighbors per individual
is given by the matrix spectral radius. This quantifies the extent to which
populations evolve mutational robustness: the insensitivity of the phenotype to
mutations. Since the average neutrality is independent of evolutionary
parameters---such as, mutation rate, population size, and selective
advantage---one can infer global statistics of neutral network topology using
simple population data available from {\it in vitro} or {\it in vivo}
evolution. Populations evolving on neutral networks of RNA secondary structures
show excellent agreement with our theoretical predictions.Comment: 7 pages, 3 figure
Noncommutative Mixmaster Cosmologies
In this paper we investigate a variant of the classical mixmaster universe
model of anisotropic cosmology, where the spatial sections are noncommutative
3-tori. We consider ways in which the discrete dynamical system describing the
mixmaster dynamics can be extended to act on the noncommutative torus moduli,
and how the resulting dynamics differs from the classical one, for example, in
the appearance of exotic smooth structures. We discuss properties of the
spectral action, focussing on how the slow-roll inflation potential determined
by the spectral action affects the mixmaster dynamics. We relate the model to
other recent results on spectral action computation and we identify other
physical contexts in which this model may be relevant.Comment: 24 pages LaTe
Two-dimensional Moist Stratified Turbulence and the Emergence of Vertically Sheared Horizontal Flows
Moist stratified turbulence is studied in a two-dimensional Boussinesq system
influenced by condensation and evaporation. The problem is set in a periodic
domain and employs simple evaporation and condensation schemes, wherein both
the processes push parcels towards saturation. Numerical simulations
demonstrate the emergence of a moist turbulent state consisting of ordered
structures with a clear power-law type spectral scaling from initially
spatially uncorrelated conditions. An asymptotic analysis in the limit of rapid
condensation and strong stratification shows that, for initial conditions with
enough water substance to saturate the domain, the equations support a
straightforward state of moist balance characterized by a hydrostatic,
saturated, vertically sheared horizontal flow (VSHF). For such initial
conditions, by means of long time numerical simulations, the emergence of moist
balance is verified. Specifically, starting from uncorrelated data, subsequent
to the development of a moist turbulent state, the system experiences a rather
abrupt transition to a regime which is close to saturation and dominated by a
strong VSHF. On the other hand, initial conditions which do not have enough
water substance to saturate the domain, do not attain moist balance. Rather,
the system remains in a turbulent state and oscillates about moist balance.
Even though balance is not achieved with these general initial conditions, the
time scale of oscillation about moist balance is much larger than the imposed
time scale of condensation and evaporation, thus indicating a distinct dominant
slow component in the moist stratified two-dimensional turbulent system.Comment: 23 pages. 9 figure
Structures and waves in a nonlinear heat-conducting medium
The paper is an overview of the main contributions of a Bulgarian team of
researchers to the problem of finding the possible structures and waves in the
open nonlinear heat conducting medium, described by a reaction-diffusion
equation. Being posed and actively worked out by the Russian school of A. A.
Samarskii and S.P. Kurdyumov since the seventies of the last century, this
problem still contains open and challenging questions.Comment: 23 pages, 13 figures, the final publication will appear in Springer
Proceedings in Mathematics and Statistics, Numerical Methods for PDEs:
Theory, Algorithms and their Application
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