319,061 research outputs found
Triton-3He relative and differential flows and the high density behavior of nuclear symmetry energy
Using a transport model coupled with a phase-space coalescence after-burner
we study the triton-3He relative and differential transverse flows in
semi-central 132Sn+124Sn reactions at a beam energy of 400 MeV/nucleon. We find
that the triton-3He pairs carry interesting information about the density
dependence of the nuclear symmetry energy. The t-3He relative flow can be used
as a particularly powerful probe of the high-density behavior of the nuclear
symmetry energy.Comment: 6 pages, 2 figures, Proceeding of The International Workshop on
Nuclear Dynamics in Heavy-Ion Reactions and the Symmetry Energ
Information flow through a model of the C. elegans klinotaxis circuit
Understanding how information about external stimuli is transformed into
behavior is one of the central goals of neuroscience. Here we characterize the
information flow through a complete sensorimotor circuit: from stimulus, to
sensory neurons, to interneurons, to motor neurons, to muscles, to motion.
Specifically, we apply a recently developed framework for quantifying
information flow to a previously published ensemble of models of salt
klinotaxis in the nematode worm C. elegans. The models are grounded in the
neuroanatomy and currently known neurophysiology of the worm. The unknown model
parameters were optimized to reproduce the worm's behavior. Information flow
analysis reveals several key principles underlying how the models operate: (1)
Interneuron class AIY is responsible for integrating information about positive
and negative changes in concentration, and exhibits a strong left/right
information asymmetry. (2) Gap junctions play a crucial role in the transfer of
information responsible for the information symmetry observed in interneuron
class AIZ. (3) Neck motor neuron class SMB implements an information gating
mechanism that underlies the circuit's state-dependent response. (4) The neck
carries non-uniform distribution about changes in concentration. Thus, not all
directions of movement are equally informative. Each of these findings
corresponds to an experimental prediction that could be tested in the worm to
greatly refine our understanding of the neural circuit underlying klinotaxis.
Information flow analysis also allows us to explore how information flow
relates to underlying electrophysiology. Despite large variations in the neural
parameters of individual circuits, the overall information flow architecture
circuit is remarkably consistent across the ensemble, suggesting that
information flow analysis captures general principles of operation for the
klinotaxis circuit
Dynamics of Interacting Neural Networks
The dynamics of interacting perceptrons is solved analytically. For a
directed flow of information the system runs into a state which has a higher
symmetry than the topology of the model. A symmetry breaking phase transition
is found with increasing learning rate. In addition it is shown that a system
of interacting perceptrons which is trained on the history of its minority
decisions develops a good strategy for the problem of adaptive competition
known as the Bar Problem or Minority Game.Comment: 9 pages, 3 figures; typos corrected, content reorganize
High Density Behaviour of Nuclear Symmetry Energy and High Energy Heavy-Ion Collisions
High energy heavy-ion collisions are proposed as a novel means to obtain
information about the high density ({\rm HD}) behaviour of nuclear symmetry
energy. Within an isospin-dependent hadronic transport model using
phenomenological equations of state ({\rm EOS}) for dense neutron-rich matter,
it is shown that the isospin asymmetry of the HD nuclear matter formed in high
energy heavy-ion collisions is determined mainly by the HD behaviour of nuclear
symmetry energy. Experimental signatures in several sensitive probes, i.e.,
to ratio, transverse collective flow and its excitation
function as well as neutron-proton differential flow, are investigated. A
precursor of the possible isospin separation instability in dense neutron-rich
matter is predicted to appear as the local minima in the excitation functions
of the transverse flow parameter for both neutrons and protons above the pion
production threshold. Because of its {\it qualitative} nature unlike other {\it
quantitative} observables, this precursor can be used as a unique signature of
the isospin dependence of the nuclear {\rm EOS}. Measurements of these
observables will provide the first terrestrial data to constrain stringently
the HD behaviour of nuclear symmetry energy and thus also the {\rm EOS} of
dense neutron-rich matter. Implications of our findings to neutron star studies
are also discussed.Comment: 25 pages + 16 figures, Nucl. Phys. A (2002) in pres
Gauge Theory for Finite-Dimensional Dynamical Systems
Gauge theory is a well-established concept in quantum physics,
electrodynamics, and cosmology. This theory has recently proliferated into new
areas, such as mechanics and astrodynamics. In this paper, we discuss a few
applications of gauge theory in finite-dimensional dynamical systems with
implications to numerical integration of differential equations. We distinguish
between rescriptive and descriptive gauge symmetry. Rescriptive gauge symmetry
is, in essence, re-scaling of the independent variable, while descriptive gauge
symmetry is a Yang-Mills-like transformation of the velocity vector field,
adapted to finite-dimensional systems. We show that a simple gauge
transformation of multiple harmonic oscillators driven by chaotic processes can
render an apparently "disordered" flow into a regular dynamical process, and
that there exists a remarkable connection between gauge transformations and
reduction theory of ordinary differential equations. Throughout the discussion,
we demonstrate the main ideas by considering examples from diverse engineering
and scientific fields, including quantum mechanics, chemistry, rigid-body
dynamics and information theory
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