1,584 research outputs found
Higher Toda brackets and the Adams spectral sequence in triangulated categories
The Adams spectral sequence is available in any triangulated category
equipped with a projective or injective class. Higher Toda brackets can also be
defined in a triangulated category, as observed by B. Shipley based on J.
Cohen's approach for spectra. We provide a family of definitions of higher Toda
brackets, show that they are equivalent to Shipley's, and show that they are
self-dual. Our main result is that the Adams differential in any Adams
spectral sequence can be expressed as an -fold Toda bracket and as an
order cohomology operation. We also show how the result
simplifies under a sparseness assumption, discuss several examples, and give an
elementary proof of a result of Heller, which implies that the three-fold Toda
brackets in principle determine the higher Toda brackets.Comment: v2: Added Section 7, about an application to computing maps between
modules over certain ring spectra. Minor improvements elsewhere. v3: Minor
updates throughout; closely matches published versio
Investigation of collective radial expansion and stopping in heavy ion collisions at Fermi energies
We present an analysis of multifragmentation events observed in central Xe+Sn
reactions at Fermi energies. Performing a comparison between the predictions of
the Stochastic Mean Field (SMF) transport model and experimental data, we
investigate the impact of the compression-expansion dynamics on the properties
of the final reaction products. We show that the amount of radial collective
expansion, which characterizes the dynamical stage of the reaction, influences
directly the onset of multifragmentation and the kinematic properties of
multifragmentation events. For the same set of events we also undertake a shape
analysis in momentum space, looking at the degree of stopping reached in the
collision, as proposed in recent experimental studies. We show that full
stopping is achieved for the most central collisions at Fermi energies.
However, considering the same central event selection as in the experimental
data, we observe a similar behavior of the stopping power with the beam energy,
which can be associated with a change of the fragmentation mechanism, from
statistical to prompt fragment emission.Comment: 15 page
Searching for the statistically equilibrated systems formed in heavy ion collisions
Further improvements and refinements are brought to the microcanonical
multifragmentation model [Al. H. Raduta and Ad. R. Raduta, Phys. Rev. C {\bf
55}, 1344 (1997); {\it ibid.} {\bf 61}, 034611 (2000)]. The new version of the
model is tested on the recently published experimental data concerning the
Xe+Sn at 32 MeV/u and Gd+U at 36 MeV/u reactions. A remarkable good
simultaneous reproduction of fragment size observables and kinematic
observables is to be noticed. It is shown that the equilibrated source can be
unambiguously identified.Comment: Physical Review C, in pres
Evolution of the decay mechanisms in central collisions of + from = 8 to 29
Collisions of Xe+Sn at beam energies of = 8 to 29 and leading to
fusion-like heavy residues are studied using the INDRA multidetector.
The fusion cross section was measured and shows a maximum at = 18-20
. A decomposition into four exit-channels consisting of the number of
heavy fragments produced in central collisions has been made. Their relative
yields are measured as a function of the incident beam energy. The energy
spectra of light charged particles (LCP) in coincidence with the fragments of
each exit-channel have been analyzed. They reveal that a composite system is
formed, it is highly excited and first decays by emitting light particles and
then may breakup into 2- or many- fragments or survives as an evaporative
residue. A quantitative estimation of this primary emission is given and
compared to the secondary decay of the fragments. These analyses indicate that
most of the evaporative LCP precede not only fission but also breakup into
several fragments.Comment: Invited Talk given at the 11th International Conference on
Nucleus-Nucleus Collisions (NN2012), San Antonio, Texas, USA, May 27-June 1,
2012. To appear in the NN2012 Proceedings in Journal of Physics: Conference
Series (JPCS
Freeze-out volume in multifragmentation - dynamical simulations
Stochastic mean-field simulations for multifragmenting sources at the same
excitation energy per nucleon have been performed. The freeze-out volume, a
concept which needs to be precisely defined in this dynamical approach, was
shown to increase as a function of three parameters: freeze-out instant,
fragment multiplicity and system size.Comment: Submitted to Eur. Phys. J. A - march 200
Local Elastic Constants for Epoxy-Nanotube Composites from Molecular Dynamics Simulation
A method from molecular dynamics simulation is developed for determining local elastic constants of an epoxy/nanotube composite. The local values of C11, C33, K12, and K13 elastic constants are calculated for an epoxy/nanotube composite as a function of radial distance from the nanotube. While the results possess a significant amount of statistical uncertainty resulting from both the numerical analysis and the molecular fluctuations during the simulation, the following observations can be made. If the size of the region around the nanotube is increased from shells of 1 to 6 in thickness, then the scatter in the data reduces enough to observe trends. All the elastic constants determined are at a minimum 20 from the center of the nanotube. The C11, C33, and K12 follow similar trends as a function of radial distance from the nanotube. The K13 decreases greater distances from the nanotube and becomes negative which may be a symptom of the statistical averaging
Pseudo-critical clusterization in nuclear multifragmentation
In this contribution we show that the biggest fragment charge distribution in
central collisions of Xe+Sn leading to multifragmentation is an admixture of
two asymptotic distributions observed for the lowest and highest bombarding
energies. The evolution of the relative weights of the two components with
bombarding energy is shown to be analogous to that observed as a function of
time for the largest cluster produced in irreversible aggregation for a finite
system. We infer that the size distribution of the largest fragment in nuclear
multifragmentation is also characteristic of the time scale of the process,
which is largely determined by the onset of radial expansion in this energy
range.Comment: 4 pages, 3 figures, Contribution to conference proceedings of the
25th International Nuclear Physics Conference (INPC 2013
A Pharmacogenetic Inducible Approach to the Study of NMDA/αCaMKII Signaling in Synaptic Plasticity
We recently introduced an inducible pharmacogenetic approach where pharmacological manipulations can be used to reveal recessive mutant phenotypes in a temporally controlled manner [1]. This approach takes advantage of synergisms between pharmacological and genetic manipulations to alter the function of specific signaling pathways. For example, mice heterozygous for a point mutation (T286A) in the α-calcium/calmodulin-dependent kinase II (αCaMKII) gene show normal learning and memory. However, a concentration of an NMDA receptor antagonist (CPP) that does not affect learning in wild-type (WT) littermates, reveals learning deficits in this heterozygote (αCaMKIIT286A+/−) [1]. Here, we show that pretetanic application of a concentration of CPP (0.1 μM) ineffective in WT hippocampal slices induced deficits in αCaMKIIT286A+/− slices in hippocampal long-term potentiation (LTP), a mechanism thought to be involved in learning and memory. Importantly, posttetanic application of CPP (0.1 μM) had no effect on the expression or maintenance of LTP in hippocampal slices from αCaMKIIT286A+/− mice. Thus, this pharmacogenetic approach allowed us to demonstrate that NMDA receptor-dependent autophosphorylation of αCaMKII is required during the induction but not maintenance of LTP. This ability to temporally induce recessive mutant phenotypes could be applicable to a broad range of problems and genetic systems
New approach of fragment charge correlations in 129Xe+(nat)Sn central collisions
A previous analysis of the charge (Z) correlations in the
plane for Xe+Sn central collisions at 32 MeV/u has shown an enhancement in the
production of equally sized fragments (low ) which was interpreted as
an evidence for spinodal decomposition. However the signal is weak and rises
the question of the estimation of the uncorrelated yield. After a critical
analysis of its robustness, we propose in this paper a new technique to build
the uncorrelated yield in the charge correlation function. The application of
this method to Xe+Sn central collision data at 32, 39, 45 and 50 MeV/u does not
show any particular enhancement of the correlation function in any
bin.Comment: 23 pages, 9 figures, revised version with an added figure and minor
changes. To appear in Nuclear Physics
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