51,858 research outputs found
Nontrivial critical crossover between directed percolation models: Effect of infinitely many absorbing states
At non-equilibrium phase transitions into absorbing (trapped) states, it is
well known that the directed percolation (DP) critical scaling is shared by two
classes of models with a single (S) absorbing state and with infinitely many
(IM) absorbing states. We study the crossover behavior in one dimension,
arising from a considerable reduction of the number of absorbing states
(typically from the IM-type to the S-type DP models), by following two
different (excitatory or inhibitory) routes which make the auxiliary field
density abruptly jump at the crossover. Along the excitatory route, the system
becomes overly activated even for an infinitesimal perturbation and its
crossover becomes discontinuous. Along the inhibitory route, we find continuous
crossover with the universal crossover exponent , which is
argued to be equal to , the relaxation time exponent of the DP
universality class on a general footing. This conjecture is also confirmed in
the case of the directed Ising (parity-conserving) class. Finally, we discuss
the effect of diffusion to the IM-type models and suggest an argument why
diffusive models with some hybrid-type reactions should belong to the DP class.Comment: 8 pages, 9 figure
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
The quantization of the chiral Schwinger model based on the BFT-BFV formalism II
We apply an improved version of Batalin-Fradkin-Tyutin (BFT) Hamiltonian
method to the a=1 chiral Schwinger Model, which is much more nontrivial than
the a>1.\delta\xi$ in the measure. As a result, we explicitly
obtain the fully gauge invariant partition function, which includes a new type
of Wess-Zumino (WZ) term irrelevant to the gauge symmetry as well as usual WZ
action.Comment: 17 pages, To be published in J. Phys.
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
Uniqueness of static spherically symmetric vacuum solutions in the IR limit of Ho\v{r}ava-Lifshitz gravity
We investigate static spherically symmetric vacuum solutions in the IR limit
of projectable nonrelativistic quantum gravity, including the renormalisable
quantum gravity recently proposed by Ho\v{r}ava. It is found that the
projectability condition plays an important role. Without the cosmological
constant, the spacetime is uniquely given by the Schwarzschild solution. With
the cosmological constant, the spacetime is uniquely given by the Kottler
(Schwarzschild-(anti) de Sitter) solution for the entirely vacuum spacetime.
However, in addition to the Kottler solution, the static spherical and
hyperbolic universes are uniquely admissible for the locally empty region, for
the positive and negative cosmological constants, respectively, if its
nonvanishing contribution to the global Hamiltonian constraint can be
compensated by that from the nonempty or nonstatic region. This implies that
static spherically symmetric entirely vacuum solutions would not admit the
freedom to reproduce the observed flat rotation curves of galaxies. On the
other hand, the result for locally empty regions implies that the IR limit of
nonrelativistic quantum gravity theories does not simply recover general
relativity but includes it.Comment: 10 pages, accepted for publication in International Journal of Modern
Physics
The spectral properties of the Falicov-Kimball model in the weak-coupling limit
The and electron density of states of the one-dimensional
Falicov-Kimball model are studied in the weak-coupling limit by exact
diagonalization calculations. The resultant behaviors are used to examine the
-electron gap (), the -electron gap (), and the
-electron gap () as functions of the -level energy
and hybridization . It is shown that the spinless Falicov-Kimball model
behaves fully differently for zero and finite hybridization between and
states. At zero hybridization the energy gaps do not coincide (), and the activation gap vanishes
discontinuously at some critical value of the -level energy . On the
other hand, at finite hybridization all energy gaps coincide and vanish
continuously at the insulator-metal transition point . The
importance of these results for a description of real materials is discussed.Comment: 10 pages, 7 figures, LaTe
Comments on "Entropy of 2D Black Holes from Counting Microstates"
In a recent letter, Cadoni and Mignemi proposed a formulation for the
statistical computation of the 2D black holes entropy. We present a criticism
about their formulation.Comment: 5 pages, Latex, no figure
Enhanced longitudinal mode spacing in blue-violet InGaN semiconductor laser
A novel explanation of observed enhanced longitudinal mode spacing in InGaN
semiconductor lasers has been proposed. It has been demonstrated that e-h
plasma oscillations, which can exist in the laser active layer at certain
driving conditions, are responsible for mode clustering effect. The resonant
excitation of the plasma oscillations occurs due to longitudinal mode beating.
The separation of mode clusters is typically by an order of magnitude larger
that the individual mode spacing.Comment: 3 pages, 2 figure
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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