73,312 research outputs found
Crossover from the parity-conserving pair contact process with diffusion to other universality classes
The pair contact process with diffusion (PCPD) with modulo 2 conservation
(\pcpdt) [, ] is studied in one dimension, focused on the
crossover to other well established universality classes: the directed Ising
(DI) and the directed percolation (DP). First, we show that the \pcpdt shares
the critical behaviors with the PCPD, both with and without directional bias.
Second, the crossover from the \pcpdt to the DI is studied by including a
parity-conserving single-particle process (). We find the crossover
exponent , which is argued to be identical to that of the
PCPD-to-DP crossover by adding . This suggests that the PCPD
universality class has a well defined fixed point distinct from the DP. Third,
we study the crossover from a hybrid-type reaction-diffusion process belonging
to the DP [, ] to the DI by adding . We find
for the DP-to-DI crossover. The inequality of and
further supports the non-DP nature of the PCPD scaling. Finally, we
introduce a symmetry-breaking field in the dual spin language to study the
crossover from the \pcpdt to the DP. We find , which is
associated with a new independent route from the PCPD to the DP.Comment: 8 pages, 8 figure
Use of scale models to determine the structural dynamic characteristics of space vehicles
Scale model designs for determining structural dynamic characteristics of future spacecraf
A Neural Network model with Bidirectional Whitening
We present here a new model and algorithm which performs an efficient Natural
gradient descent for Multilayer Perceptrons. Natural gradient descent was
originally proposed from a point of view of information geometry, and it
performs the steepest descent updates on manifolds in a Riemannian space. In
particular, we extend an approach taken by the "Whitened neural networks"
model. We make the whitening process not only in feed-forward direction as in
the original model, but also in the back-propagation phase. Its efficacy is
shown by an application of this "Bidirectional whitened neural networks" model
to a handwritten character recognition data (MNIST data).Comment: 16page
Del Pezzo surfaces and local inequalities
I prove new local inequality for divisors on smooth surfaces, describe its
applications, and compare it to a similar local inequality that is already
known by experts.Comment: 13 pages; to appear in the proceedings of the conference "Groups of
Automorphisms in Birational and Affine Geometry", Levico Terme (Trento), 201
Does Scientific Progress Consist in Increasing Knowledge or Understanding?
Bird argues that scientific progress consists in increasing knowledge. Dellsén objects that increasing knowledge is neither necessary nor sufficient for scientific progress, and argues that scientific progress rather consists in increasing understanding. Dellsén also contends that unlike Bird’s view, his view can account for the scientific practices of using idealizations and of choosing simple theories over complex ones. I argue that Dellsén’s criticisms against Bird’s view fail, and that increasing understanding cannot account for scientific progress, if acceptance, as opposed to belief, is required for scientific understanding
BFT Hamiltonian embedding for SU(3) Skyrmion
We newly apply the Batalin, Fradkin and Tyutin (BFT) formalism to the SU(3)
flavor Skyrmion model to investigate the Weyl ordering correction to the
structure of the hyperfine splittings of strange baryons. On the other hand,
the Berry phases and Casimir effects are also discussed.Comment: 14 pages, modified titl
Fast and dense magneto-optical traps for Strontium
We improve the efficiency of sawtooth-wave-adiabatic-passage (SWAP) cooling
for strontium atoms in three dimensions and combine it with standard
narrow-line laser cooling. With this technique, we create strontium
magneto-optical traps with bosonic Sr (
fermionic Sr) atoms at phase-space densities of
(). Our method is simple to implement and is faster and more
robust than traditional cooling methods.Comment: 9 pages, 6 figure
Log canonical thresholds of Del Pezzo Surfaces in characteristic p
The global log canonical threshold of each non-singular complex del Pezzo
surface was computed by Cheltsov. The proof used Koll\'ar-Shokurov's
connectedness principle and other results relying on vanishing theorems of
Kodaira type, not known to be true in finite characteristic.
We compute the global log canonical threshold of non-singular del Pezzo
surfaces over an algebraically closed field. We give algebraic proofs of
results previously known only in characteristic . Instead of using of the
connectedness principle we introduce a new technique based on a classification
of curves of low degree. As an application we conclude that non-singular del
Pezzo surfaces in finite characteristic of degree lower or equal than are
K-semistable.Comment: 21 pages. Thorough rewrite following referee's suggestions. To be
published in Manuscripta Mathematic
Quantum information processing based on P-31 nuclear spin qubits in a quasi-one-dimensional Si-28 nanowire
We suggest a new method of quantum information processing based on the
precise placing of P-31 isotope atoms in a quasi-one-dimensional Si-28 nanowire
using isotope engineering and neutron-transmutation doping of the grown
structures. In our structure, interqubit entanglement is based on the indirect
interaction of P-31 nuclear spins with electrons localized in a nanowire. This
allows one to control the coupling between distant qubits and between qubits
separated by non-qubit neighboring nodes. The suggested method enables one to
fabricate structures using present-day nanolithography. Numerical estimates
show the feasibility of the proposed device and method of operation.Comment: 7 pages, 4 figure
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