15,194 research outputs found
Probabilistic Inductive Classes of Graphs
Models of complex networks are generally defined as graph stochastic
processes in which edges and vertices are added or deleted over time to
simulate the evolution of networks. Here, we define a unifying framework -
probabilistic inductive classes of graphs - for formalizing and studying
evolution of complex networks. Our definition of probabilistic inductive class
of graphs (PICG) extends the standard notion of inductive class of graphs (ICG)
by imposing a probability space. A PICG is given by: (1) class B of initial
graphs, the basis of PICG, (2) class R of generating rules, each with
distinguished left element to which the rule is applied to obtain the right
element, (3) probability distribution specifying how the initial graph is
chosen from class B, (4) probability distribution specifying how the rules from
class R are applied, and, finally, (5) probability distribution specifying how
the left elements for every rule in class R are chosen. We point out that many
of the existing models of growing networks can be cast as PICGs. We present how
the well known model of growing networks - the preferential attachment model -
can be studied as PICG. As an illustration we present results regarding the
size, order, and degree sequence for PICG models of connected and 2-connected
graphs.Comment: 15 pages, 6 figure
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Mineral Surface and Fluid Chemistry in Nakhlite Analog Water-Rock Reactions
We report on experiments with Mars analog materials under diagenetic conditions and find characteristic chemical surface changes in correspondence with the fluid conditions
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Fractionated Martian Atmosphere – the Case of the Nakhlites, Revisited with Experiments
We report on fractionated noble gases in the Martian meterorites - a literature survey and new data
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Amazonian Hydrothermal Alteration Comparing Nakhlite Secondary Mineralogy to Water Rock Reaction Experiments
We report on results from experiments with Mars analog materials under diagenetic conditions. The mineralogical results of our experiments suggest that an important type of fluid alteration in the Amazonian may be short duration (e.g. less than 1 year) events from near neutral, dilute brines, that were able to exchange CO2 either directly, or via ice reservoirs, with the atmosphere
Chalk cliff retreat in East Sussex and Kent 1870s to 2001
The retreat of chalk cliffs fringing the eastern English Channel contributes shingle to the beaches which helps to protect the cliffs and slow down erosion. Conversely, cliff retreat endangers settlements and infrastructure on the clifftop. Rates of retreat have been calculated by a variety of methods over the past century, but no attempt has been made to provide a complete coverage that allows for a true comparison of retreat rates over the entire coastline. Using historic maps and recent orthophotos, cliff retreat rates have been calculated for consecutive 50 m sections of chalk cliff along the English side of the entire eastern English Channel for a period of 125 years. The chalk cliffs of East Sussex erode at an average rate of 0.25 - 0.3 m y−1 while those in Kent at a rate of 0.1 m y−1
Anomaly-Free Supersymmetric SO(2N+2)/U(N+1) sigma-Model Based on the SO(2N+1) Lie Algebra of the Fermion Operators
The extended supersymmetric (SUSY) sigma-model has been proposed on the bases
of SO(2N+1) Lie algebra spanned by fermion annihilation-creation operators and
pair operators. The canonical transformation, extension of an SO(2N) Bogoliubov
transformation to an SO(2N+1) group, is introduced. Embedding the SO(2N+1)
group into an SO(2N+2) group and using SO(2N+2)/U(N+1) coset variables, we have
investigated the SUSY sigma-model on the Kaehler manifold, the coset space
SO(2N+2)/U(N+1). We have constructed the Killing potential, extension of the
potential in the SO(2N)/U(N) coset space to that in the SO(2N+2)/U(N+1) coset
space. It is equivalent to the generalized density matrix whose diagonal-block
part is related to a reduced scalar potential with a Fayet-Ilipoulos term. The
f-deformed reduced scalar potential is optimized with respect to vacuum
expectation value of the sigma-model fields and a solution for one of the
SO(2N+1) group parameters has been obtained. The solution, however, is only a
small part of all solutions obtained from anomaly-free SUSY coset models. To
construct the coset models consistently, we must embed a coset coordinate in an
anomaly-free spinor representation (rep) of SO(2N+2) group and give
corresponding Kaehler and Killing potentials for an anomaly-free
SO(2N+2)/U(N+1) model based on each positive chiral spinor rep. Using such
mathematical manipulation we construct successfully the anomaly-free
SO(2N+2)/U(N+1) SUSY sigma-model and investigate new aspects which have never
been seen in the SUSY sigma-model on the Kaehler coset space SO(2N)/U(N). We
reach a f-deformed reduced scalar potential. It is minimized with respect to
the vacuum expectation value of anomaly-free SUSY sigma-model fields. Thus we
find an interesting f-deformed solution very different from the previous
solution for an anomaly-free SO(2.5+2)/(SU(5+1)*U(1)) SUSY sigma-model.Comment: 24 pages, no fiure
Persistent order due to transiently enhanced nesting in an electronically excited charge density wave
Non-equilibrium conditions may lead to novel properties of materials with
broken symmetry ground states not accessible in equilibrium as vividly
demonstrated by non-linearly driven mid-infrared active phonon excitation.
Potential energy surfaces of electronically excited states also allow to
direct nuclear motion, but relaxation of the excess energy typically excites
fluctuations leading to a reduced or even vanishing order parameter as
characterized by an electronic energy gap. Here, using femtosecond time- and
angle-resolved photoemission spectroscopy, we demonstrate a tendency towards
transient stabilization of a charge density wave after near-infrared
excitation, counteracting the suppression of order in the non-equilibrium
state. Analysis of the dynamic electronic structure reveals a remaining energy
gap in a highly excited transient state. Our observation can be explained by a
competition between fluctuations in the electronically excited state, which
tend to reduce order, and transiently enhanced Fermi surface nesting
stabilizing the order
Is there a Phase Transition to the Flux Lattice State?
The sharp drops in the resistance and magnetization which are usually
attributed to a phase transition from the vortex liquid state to a crystal
state are explained instead as a crossover between three and two dimensional
behavior, which occurs when the phase coherence length in the liquid becomes
comparable to the sample thickness. Estimates of the width of the crossover
region and the phase coherence length scales are in agreement with experiment.Comment: 4 pages, RevTe
Vortex Line Fluctuations in Model High Temperature Superconductors
We carry out Monte Carlo simulations of the uniformly frustrated 3d XY model
as a model for vortex line fluctuations in a high Tc superconductor. A density
of vortex lines of f=1/25 is considered. We find two sharp phase transitions.
The low T phase is an ordered vortex line lattice. The high T normal phase is a
vortex line liquid with much entangling, cutting, and loop excitations. An
intermediate phase is found which is characterized as a vortex line liquid of
disentangled lines. In this phase, the system displays superconducting
properties in the direction parallel to the magnetic field, but normal behavior
in planes perpendicular to the magnetic field.Comment: 38 pages, LaTeX 15 figures (upon request to
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