95,619 research outputs found
Modelling and control of the flame temperature distribution using probability density function shaping
This paper presents three control algorithms for the output probability density function (PDF) control of the 2D and 3D flame distribution systems. For the 2D flame distribution systems, control methods for both static and dynamic flame systems are presented, where at first the temperature distribution of the gas jet flames along the cross-section is approximated. Then the flame energy distribution (FED) is obtained as the output to be controlled by using a B-spline expansion technique. The general static output PDF control algorithm is used in the 2D static flame system, where the dynamic system consists of a static temperature model of gas jet flames and a second-order actuator. This leads to a second-order closed-loop system, where a singular state space model is used to describe the dynamics with the weights of the B-spline functions as the state variables. Finally, a predictive control algorithm is designed for such an output PDF system. For the 3D flame distribution systems, all the temperature values of the flames are firstly mapped into one temperature plane, and the shape of the temperature distribution on this plane can then be controlled by the 3D flame control method proposed in this paper. Three cases are studied for the proposed control methods and desired simulation results have been obtained
Toward precision mass measurements of neutron-rich nuclei relevant to -process nucleosynthesis
The open question of where, when, and how the heavy elements beyond iron
enrich our Universe has triggered a new era in nuclear physics studies.\ Of all
the relevant nuclear physics inputs, the mass of very neutron-rich nuclides is
a key quantity for revealing the origin of heavy elements beyond iron.\
Although the precise determination of this property is a great challenge,
enormous progress has been made in recent decades, and it has contributed
significantly to both nuclear structure and astrophysical nucleosynthesis
studies.\ In this review, we first survey our present knowledge of the nuclear
mass surface, emphasizing the importance of nuclear mass precision in
-process calculations.\ We then discuss recent progress in various methods
of nuclear mass measurement with a few selected examples.\ For each method, we
focus on recent breakthroughs and discuss possible ways of improving the
weighing of -process nuclides.Comment: 10 figures, review articles in Frontiers of Physic
Melham's Conjecture on Odd Power Sums of Fibonacci Numbers
Ozeki and Prodinger showed that the odd power sum of the first several
consecutive Fibonacci numbers of even order is equal to a polynomial evaluated
at certain Fibonacci number of odd order. We prove that this polynomial and its
derivative both vanish at , and will be an integer polynomial after
multiplying it by a product of the first consecutive Lucas numbers of odd
order. This presents an affirmative answer to a conjecture of Melham.Comment: 15page
Binomial coefficients, Catalan numbers and Lucas quotients
Let be an odd prime and let be integers with and . In this paper we determine
mod for ; for example,
where is the Jacobi symbol, and is the Lucas
sequence given by , and for
. As an application, we determine modulo for any integer , where denotes the
Catalan number . We also pose some related conjectures.Comment: 24 pages. Correct few typo
Site-dependent charge transfer at the Pt(111)-ZnPc interface and the effect of iodine
The electronic structure of ZnPc, from sub-monolayers to thick films, on bare
and iodated Pt(111) is studied by means of X-ray photoelectron spectroscopy
(XPS), X-ray absorption spectroscopy (XAS) and scanning tunneling microscopy
(STM). Our results suggest that at low coverage ZnPc lies almost parallel to
the Pt(111) substrate, in a non-planar configuration induced by Zn-Pt
attraction, leading to an inhomogeneous charge distribution within the molecule
and charge transfer to the molecule. ZnPc does not form a complete monolayer on
the Pt surface, due to a surface-mediated intermolecular repulsion. At higher
coverage ZnPc adopts a tilted geometry, due to a reduced molecule-substrate
interaction. Our photoemission results illustrate that ZnPc is practically
decoupled from Pt, already from the second layer. Pre-deposition of iodine on
Pt hinders the Zn-Pt attraction, leading to a non-distorted first layer ZnPc in
contact with Pt(111)-I or Pt(111)-I
, and a more homogeneous charge
distribution and charge transfer at the interface. On increased ZnPc thickness
iodine is dissolved in the organic film where it acts as an electron acceptor
dopant.Comment: 12 pages, 9 figure
- …