5,090 research outputs found
Theory of the waterfall phenomenon in cuprate superconductors
Based on exact diagonalization and variational cluster approximation
calculations we study the relationship between charge transfer models and the
corresponding single band Hubbard models. We present an explanation for the
waterfall phenomenon observed in angle resolved photoemission spectroscopy
(ARPES) on cuprate superconductors. The phenomenon is due to the destructive
interference between the phases of the O2p orbitals belonging to a given
Zhang-Rice singlet and the Bloch phases of the photohole which occurs in
certain regions of k-space. It therefore may be viewed as a direct experimental
visualisation of the Zhang-Rice construction of an effective single band model
for the CuO2 plane.Comment: 11 pages, 9 Postscript figure
An automata characterisation for multiple context-free languages
We introduce tree stack automata as a new class of automata with storage and
identify a restricted form of tree stack automata that recognises exactly the
multiple context-free languages.Comment: This is an extended version of a paper with the same title accepted
at the 20th International Conference on Developments in Language Theory (DLT
2016
The Complexity of Fixed-Height Patterned Tile Self-Assembly
We characterize the complexity of the PATS problem for patterns of fixed
height and color count in variants of the model where seed glues are either
chosen or fixed and identical (so-called non-uniform and uniform variants). We
prove that both variants are NP-complete for patterns of height 2 or more and
admit O(n)-time algorithms for patterns of height 1. We also prove that if the
height and number of colors in the pattern is fixed, the non-uniform variant
admits a O(n)-time algorithm while the uniform variant remains NP-complete. The
NP-completeness results use a new reduction from a constrained version of a
problem on finite state transducers.Comment: An abstract version appears in the proceedings of CIAA 201
Hydrodynamic interactions of spherical particles in Poiseuille flow between two parallel walls
We study hydrodynamic interactions of spherical particles in incident
Poiseuille flow in a channel with infinite planar walls. The particles are
suspended in a Newtonian fluid, and creeping-flow conditions are assumed.
Numerical results, obtained using our highly accurate Cartesian-representation
algorithm [Physica A xxx, {\bf xx}, 2005], are presented for a single sphere,
two spheres, and arrays of many spheres. We consider the motion of freely
suspended particles as well as the forces and torques acting on particles
adsorbed at a wall. We find that the pair hydrodynamic interactions in this
wall-bounded system have a complex dependence on the lateral interparticle
distance due to the combined effects of the dissipation in the gap between the
particle surfaces and the backflow associated with the presence of the walls.
For immobile particle pairs we have examined the crossover between several
far-field asymptotic regimes corresponding to different relations between the
particle separation and the distances of the particles from the walls. We have
also shown that the cumulative effect of the far-field flow substantially
influences the force distribution in arrays of immobile spheres. Therefore, the
far-field contributions must be included in any reliable algorithm for
evaluating many-particle hydrodynamic interactions in the parallel-wall
geometry.Comment: submitted to Physics of Fluid
Persistent effects of inertia on diffusion-influenced reactions: Theoretical methods and applications
The Cattaneo-Vernotte model has been widely studied to take momentum
relaxation into account in transport equations. Yet, the effect of reactions on
the Cattaneo-Vernotte model has not been fully elucidated. At present, it is
unclear how the current density associated with reactions can be expressed in
the Cattaneo-Vernotte model. Herein, we derive a modified Cattaneo-Vernotte
model by applying the projection operator method to the Fokker-Planck-Kramers
equation with a reaction sink. The same modified Cattaneo-Vernotte model can be
derived by a Grad procedure. We show that the inertial effect influences the
reaction rate coefficient differently depending on whether the intrinsic
reaction rate constant in the reaction sink term depends on the solute relative
velocity or not. The momentum relaxation effect can be expressed by a modified
Smoluchowski equation including a memory kernel using the Cattaneo-Vernotte
model. When the intrinsic reaction rate constant is independent of the reactant
velocity and is localized, the modified Smoluchowski equation should be
generalized to include a reaction term without a memory kernel. When the
intrinsic reaction rate constant depends on the relative velocity of reactants,
an additional reaction term with a memory kernel is required because of
competition between the current density associated with the reaction and the
diffusive flux during momentum relaxation. The competition effect influences
even the long-time reaction rate coefficient.Comment: 2 figure
Anomalous lateral diffusion in a viscous membrane surrounded by viscoelastic media
We investigate the lateral dynamics in a purely viscous lipid membrane
surrounded by viscoelastic media such as polymeric solutions. We first obtain
the generalized frequency-dependent mobility tensor and focus on the case when
the solvent is sandwiched by hard walls. Due to the viscoelasticity of the
solvent, the mean square displacement of a disk embedded in the membrane
exhibits an anomalous diffusion. An useful relation which connects the mean
square displacement and the solvent modulus is provided. We also calculate the
cross-correlation of the particle displacements which can be applied for
two-particle tracking experiments.Comment: 6 pages, 2 figure
Dispersive diffusion controlled distance dependent recombination in amorphous semiconductors
The photoluminescence in amorphous semiconductors decays according to power
law at long times. The photoluminescence is controlled by
dispersive transport of electrons. The latter is usually characterized by the
power of the transient current observed in the time-of-flight
experiments. Geminate recombination occurs by radiative tunneling which has a
distance dependence. In this paper, we formulate ways to calculate reaction
rates and survival probabilities in the case carriers execute dispersive
diffusion with long-range reactivity. The method is applied to obtain tunneling
recombination rates under dispersive diffusion. The theoretical condition of
observing the relation is obtained and theoretical
recombination rates are compared to the kinetics of observed photoluminescence
decay in the whole time range measured.Comment: To appear in Journal of Chemical Physic
Alkylated-C-60 based soft materials: regulation of self-assembly and optoelectronic properties by chain branching
Derivatization of fullerene (C60) with branched aliphatic chains softens C60-based materials and enables the formation of thermotropic liquid crystals and room temperature nonvolatile liquids. This work demonstrates that by carefully tuning parameters such as type, number and substituent position of the branched chains, liquid crystalline C60 materials with mesophase temperatures suited for photovoltaic cell fabrication and room temperature nonvolatile liquid fullerenes with tunable viscosity can be obtained. In particular, compound 1, with branched chains, exhibits a smectic liquid crystalline phase extending from 84 °C to room temperature. Analysis of bulk heterojunction (BHJ) organic solar cells with a ca. 100 nm active layer of compound 1 and poly(3-hexylthiophene) (P3HT) as an electron acceptor and an electron donor, respectively, reveals an improved performance (power conversion efficiency, PCE: 1.6 ± 0.1%) in comparison with another compound, 10 (PCE: 0.5 ± 0.1%). The latter, in contrast to 1, carries linear aliphatic chains and thus forms a highly ordered solid lamellar phase at room temperature. The solar cell performance of 1 blended with P3HT approaches that of PCBM/P3HT for the same active layer thickness. This indicates that C60 derivatives bearing branched tails are a promising class of electron acceptors in soft (flexible) photovoltaic devices
Development of a low-mass and high-efficiency charged particle detector
We developed a low-mass and high-efficiency charged particle detector for an
experimental study of the rare decay . The
detector is important to suppress the background with charged particles to the
level below the signal branching ratio predicted by the Standard Model
(O(10)). The detector consists of two layers of 3-mm-thick plastic
scintillators with wavelength shifting fibers embedded and Multi Pixel Photon
Counters for readout. We manufactured the counter and evaluated the performance
such as light yield, timing resolution, and efficiency. With this design, we
achieved the inefficiency per layer against penetrating charged particles to be
less than , which satisfies the requirement of the KOTO
experiment determined from simulation studies.Comment: 20 pages, 18 figure
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