1,234 research outputs found
Semantic Compression of Episodic Memories
Storing knowledge of an agent's environment in the form of a probabilistic
generative model has been established as a crucial ingredient in a multitude of
cognitive tasks. Perception has been formalised as probabilistic inference over
the state of latent variables, whereas in decision making the model of the
environment is used to predict likely consequences of actions. Such generative
models have earlier been proposed to underlie semantic memory but it remained
unclear if this model also underlies the efficient storage of experiences in
episodic memory. We formalise the compression of episodes in the normative
framework of information theory and argue that semantic memory provides the
distortion function for compression of experiences. Recent advances and
insights from machine learning allow us to approximate semantic compression in
naturalistic domains and contrast the resulting deviations in compressed
episodes with memory errors observed in the experimental literature on human
memory.Comment: CogSci201
Reconnection of a kinking flux rope triggering the ejection of a microwave and hard X-ray source. II. Numerical Modeling
Numerical simulations of the helical () kink instability of an
arched, line-tied flux rope demonstrate that the helical deformation enforces
reconnection between the legs of the rope if modes with two helical turns are
dominant as a result of high initial twist in the range . Such
reconnection is complex, involving also the ambient field. In addition to
breaking up the original rope, it can form a new, low-lying, less twisted flux
rope. The new flux rope is pushed downward by the reconnection outflow, which
typically forces it to break as well by reconnecting with the ambient field.
The top part of the original rope, largely rooted in the sources of the ambient
flux after the break-up, can fully erupt or be halted at low heights, producing
a "failed eruption." The helical current sheet associated with the instability
is squeezed between the approaching legs, temporarily forming a double current
sheet. The leg-leg reconnection proceeds at a high rate, producing sufficiently
strong electric fields that it would be able to accelerate particles. It may
also form plasmoids, or plasmoid-like structures, which trap energetic
particles and propagate out of the reconnection region up to the top of the
erupting flux rope along the helical current sheet. The kinking of a highly
twisted flux rope involving leg-leg reconnection can explain key features of an
eruptive but partially occulted solar flare on 18 April 2001, which ejected a
relatively compact hard X-ray and microwave source and was associated with a
fast coronal mass ejection.Comment: Solar Physics, in pres
Humpy LNRF-velocity profiles in accretion discs orbiting nearly extreme Kerr black holes. A possible relation to QPOs
Change of sign of the LNRF-velocity gradient has been found for accretion
discs orbiting rapidly rotating Kerr black holes with spin a > 0.9953 for
Keplerian discs and a > 0.99979 for marginally stable thick discs. Aschenbach
(2004) has identified the maximal rate of change of the orbital velocity within
the "humpy" profile with a locally defined critical frequency of disc
oscillations, but it has been done in a coordinate-dependent form. We define
the critical "humpy" frequency H in general relativistic, coordinate
independent form, and relate the frequency defined in the LNRF to distant
observers. At radius of its definition, so-called "humpy" radius r_h, the
"humpy" frequency H is compared to the radial (R) and vertical (V) epicyclic
frequencies and the orbital frequency of the disc. For Keplerian thin discs, we
show that the epicyclic resonance radii r_31 and r_41 (with V:R = 3:1 or 4:1)
are located in vicinity of r_h where efficient triggering of oscillations with
frequencies ~ H could be expected. Asymptotically (for 1-a < 10^(-4)) the ratio
of the epicyclic and Keplerian frequencies and the humpy frequency is nearly
constant, i.e., almost independent of spin, being for the radial epicyclic
frequency R:H ~ 3:2. For thick discs the situation is more complex due to
dependence on distribution of the specific angular momentum l determining the
disc properties. For l = const tori and 1-a < 10^(-6) the frequency ratios of
the humpy frequency and the orbital and epicyclic frequencies are again nearly
constant and independent of both a and l, being for the radial epicyclic
frequency R:H close to 4. In the limiting case of very slender tori (l ~ l_ms)
the epicyclic resonance radius r_41 ~ r_h for spin 1-a < 2x10^(-4).Comment: 11 pages,10 figures, 1 table. Accepted for publication in Astronomy
and Astrophysic
How river rocks round: resolving the shape-size paradox
River-bed sediments display two universal downstream trends: fining, in which
particle size decreases; and rounding, where pebble shapes evolve toward
ellipsoids. Rounding is known to result from transport-induced abrasion;
however many researchers argue that the contribution of abrasion to downstream
fining is negligible. This presents a paradox: downstream shape change
indicates substantial abrasion, while size change apparently rules it out. Here
we use laboratory experiments and numerical modeling to show quantitatively
that pebble abrasion is a curvature-driven flow problem. As a consequence,
abrasion occurs in two well-separated phases: first, pebble edges rapidly round
without any change in axis dimensions until the shape becomes entirely convex;
and second, axis dimensions are then slowly reduced while the particle remains
convex. Explicit study of pebble shape evolution helps resolve the shape-size
paradox by reconciling discrepancies between laboratory and field studies, and
enhances our ability to decipher the transport history of a river rock.Comment: 11 pages, 5 figure
Disc-oscillation resonance and neutron star QPOs: 3:2 epicyclic orbital model
The high-frequency quasi-periodic oscillations (HF QPOs) that appear in the
X-ray fluxes of low-mass X-ray binaries remain an unexplained phenomenon. Among
other ideas, it has been suggested that a non-linear resonance between two
oscillation modes in an accretion disc orbiting either a black hole or a
neutron star plays a role in exciting the observed modulation. Several possible
resonances have been discussed. A particular model assumes resonances in which
the disc-oscillation modes have the eigenfrequencies equal to the radial and
vertical epicyclic frequencies of geodesic orbital motion. This model has been
discussed for black hole microquasar sources as well as for a group of neutron
star sources. Assuming several neutron (strange) star equations of state and
Hartle-Thorne geometry of rotating stars, we briefly compare the frequencies
expected from the model to those observed. Our comparison implies that the
inferred neutron star radius "RNS" is larger than the related radius of the
marginally stable circular orbit "rms" for nuclear matter equations of state
and spin frequencies up to 800Hz. For the same range of spin and a strange star
(MIT) equation of state, the inferrred radius RNS is roughly equal to rms. The
Paczynski modulation mechanism considered within the model requires that RNS <
rms. However, we find this condition to be fulfilled only for the strange
matter equation of state, masses below one solar mass, and spin frequencies
above 800Hz. This result most likely falsifies the postulation of the neutron
star 3:2 resonant eigenfrequencies being equal to the frequencies of geodesic
radial and vertical epicyclic modes. We suggest that the 3:2 epicyclic modes
could stay among the possible choices only if a fairly non-geodesic accretion
flow is assumed, or if a different modulation mechanism operates.Comment: 7 pages, 4 figures (in colour), accepted for publication in Astronomy
& Astrophysic
Quasiperiodic oscillations in a strong gravitational field around neutron stars testing braneworld models
The strong gravitational field of neutron stars in the brany universe could
be described by spherically symmetric solutions with a metric in the exterior
to the brany stars being of the Reissner-Nordstrom type containing a brany
tidal charge representing the tidal effect of the bulk spacetime onto the star
structure. We investigate the role of the tidal charge in orbital models of
high-frequency quasiperiodic oscillations (QPOs) observed in neutron star
binary systems. We focus on the relativistic precession model. We give the
radial profiles of frequencies of the Keplerian (vertical) and radial epicyclic
oscillations. We show how the standard relativistic precession model modified
by the tidal charge fits the observational data, giving estimates of the
allowed values of the tidal charge and the brane tension based on the processes
going in the vicinity of neutron stars. We compare the strong field regime
restrictions with those given in the weak-field limit of solar system
experiments.Comment: 26 pages, 6 figure
The origin of net electric currents in solar active regions
There is a recurring question in solar physics about whether or not electric
currents are neutralized in active regions (ARs). This question was recently
revisited using three-dimensional (3D) magnetohydrodynamic (MHD) numerical
simulations of magnetic flux emergence into the solar atmosphere. Such
simulations showed that flux emergence can generate a substantial net current
in ARs. Another source of AR currents are photospheric horizontal flows. Our
aim is to determine the conditions for the occurrence of net vs. neutralized
currents with this second mechanism. Using 3D MHD simulations, we
systematically impose line-tied, quasi-static, photospheric twisting and
shearing motions to a bipolar potential magnetic field. We find that such
flows: (1) produce both {\it direct} and {\it return} currents, (2) induce very
weak compression currents - not observed in 2.5D - in the ambient field present
in the close vicinity of the current-carrying field, and (3) can generate
force-free magnetic fields with a net current. We demonstrate that neutralized
currents are in general produced only in the absence of magnetic shear at the
photospheric polarity inversion line - a special condition rarely observed. We
conclude that, as magnetic flux emergence, photospheric flows can build up net
currents in the solar atmosphere, in agreement with recent observations. These
results thus provide support for eruption models based on pre-eruption magnetic
fields possessing a net coronal current.Comment: 14 pages and 11 figures (Accepted in The Astrophysical Journal
LNRF-velocity hump-induced oscillations of a Keplerian disc orbiting near-extreme Kerr black hole: A possible explanation of high-frequency QPOs in GRS 1915+105
At least four high-frequency quasiperiodic oscillations (QPOs) at frequencies
41Hz, 67Hz, 113Hz, and 167Hz were reported in a binary system GRS 1915+105
hosting near-extreme Kerr black hole with a dimensionless spin a>0.98. We use
the idea of oscillations induced by the hump of the orbital velocity profile
(related to locally non-rotating frames - LNRF) in discs orbiting near-extreme
Kerr black holes, which are characterized by a "humpy frequency" f_h, that
could excite the radial and vertical epicyclic oscillations with frequencies
f_r, f_v. Due to non-linear resonant phenomena the combinational frequencies
are allowed as well. Assuming mass M=14.8M_sun and spin a=0.9998 for the GRS
1915+105 Kerr black hole, the model predicts frequencies f_h=41Hz, f_r=67Hz,
(f_h+f_r)=108Hz, (f_v-f_r)=170Hz corresponding quite well to the observed ones.
For black-hole parameters being in good agreement with those given
observationally, the forced resonant phenomena in non-linear oscillations,
excited by the "hump-induced" oscillations in a Keplerian disc, can explain
high-frequency QPOs in GRS 1915+105 within the range of observational errors.Comment: 4 pages, 2 figures, accepted for publication in Astronomy and
Astrophysics, added references, corrected typo
Catastrophe versus instability for the eruption of a toroidal solar magnetic flux rope
The onset of a solar eruption is formulated here as either a magnetic
catastrophe or as an instability. Both start with the same equation of force
balance governing the underlying equilibria. Using a toroidal flux rope in an
external bipolar or quadrupolar field as a model for the current-carrying flux,
we demonstrate the occurrence of a fold catastrophe by loss of equilibrium for
several representative evolutionary sequences in the stable domain of parameter
space. We verify that this catastrophe and the torus instability occur at the
same point; they are thus equivalent descriptions for the onset condition of
solar eruptions.Comment: V2: update to conform to the published article; new choice for
internal inductance of torus; updated Fig. 2; new Figs. 3, 5, and
- …