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An integral equation method for a boundary value problem arising in unsteady water wave problems
In this paper we consider the 2D Dirichlet boundary value problem for Laplace’s equation in a non-locally perturbed half-plane, with data in the space of bounded and continuous functions. We show uniqueness of solution, using standard Phragmen-Lindelof arguments. The main result
is to propose a boundary integral equation formulation, to prove equivalence with the boundary value problem, and to show that the integral equation is well posed by applying a recent partial generalisation of the Fredholm alternative in Arens et al [J. Int. Equ. Appl. 15 (2003) pp. 1-35]. This then leads to an existence proof for the boundary value problem.
Keywords. Boundary integral equation method, Water waves, Laplace’
Rigorous theory of nuclear fusion rates in a plasma
Real-time thermal field theory is used to reveal the structure of plasma
corrections to nuclear reactions. Previous results are recovered in a fashion
that clarifies their nature, and new extensions are made. Brown and Yaffe have
introduced the methods of effective quantum field theory into plasma physics.
They are used here to treat the interesting limiting case of dilute but very
highly charged particles reacting in a dilute, one-component plasma. The highly
charged particles are very strongly coupled to this background plasma. The
effective field theory proves that this mean field solution plus the one-loop
term dominate; higher loop corrections are negligible even though the problem
involves strong coupling. Such analytic results for very strong coupling are
rarely available, and they can serve as benchmarks for testing computer models.Comment: 4 pages and 2 figures, presented at SCCS 2005, June 20-25, Moscow,
Russi
Critical behavior in an evolutionary Ultimatum Game
Experimental studies have shown the ubiquity of altruistic behavior in human
societies. The social structure is a fundamental ingredient to understand the
degree of altruism displayed by the members of a society, in contrast to
individual-based features, like for example age or gender, which have been
shown not to be relevant to determine the level of altruistic behavior. We
explore an evolutionary model aiming to delve how altruistic behavior is
affected by social structure. We investigate the dynamics of interacting
individuals playing the Ultimatum Game with their neighbors given by a social
network of interaction. We show that a population self-organizes in a critical
state where the degree of altruism depends on the topology characterizing the
social structure. In general, individuals offering large shares but in turn
accepting large shares, are removed from the population. In heterogeneous
social networks, individuals offering intermediate shares are strongly selected
in contrast to random homogeneous networks where a broad range of offers, below
a critical one, is similarly present in the population.Comment: 13 pages, 7 figure
PATENTS, R&D AND LAG EFFECTS: EVIDENCE FROM FLEXIBLE METHODS FOR COUNT PANEL DATA ON MANUFACTURING FIRMS
Hausman, Hall and Griliches (1984) and Hall, Griliches and Hausman (1986) investigated whether there was a lag in the patent-R&D relationship for the U.S. manufacturing sector using 1970¿s data. They found that there was little evidence of anything but contemporaneous movement of patents and R&D. We reexamine this important issue employing new longitudinal patent data at the firm level for the U.S. manufacturing sector from 1982 to 1992. To address unique features of the data, we estimate various distributed lag and dynamic multiplicative panel count data models. The paper also develops a new class of count panel data models based on series expansion of the distribution of individual effects. The empirical analyses show that, although results are somewhat sensitive to different estimation methods, the contemporaneous relationship between patenting and R&D expenditures continues to be rather strong, accounting for over 60% of the total R&D elasticity. Regarding the lag structure of the patents-R&D relationship, we do find a significant lag in all empirical specifications. Moreover, the estimated lag effects are higher than have previously been found, suggesting that the contribution of R&D history to current patenting has increased from the 1970¿s to the 1980¿s.Innovative activity, Patents and R&D, Individual effects, count panel data methods.
A Participatory Approach for Digital Documentation of Egyptian Bedouins' Intangible Cultural Heritage
The Bedouins of Egypt hold a unique intangible cultural heritage (ICH), with distinct cultural values and social practices that are rapidly changing as a consequence of having settled after having been nomadic for centuries. We presentour attempt to develop a bottom-up approach to document Bedouin ICH. Grounded in participatory design practices, the project purpose was two-fold: engaging Egyptian Engineering undergraduates with culturally-distant technology users and introducing digital self-documentation of ICH to the Bedouin community. We report the design of a didactic model that deployed the students as research partners to co-design four prototypes of ICH documentation mobile applications with the community. The prototypes reflected an advanced understanding for the values to the Bedouins brought by digital documentation practices. Drawing from our experience, three recommendationswere elicited for similar ICH projects. Namely, focusing on the community benefits; promoting motivation ownership, and authenticity; and pursuing a shared identity between designers and community members. These guidelines hold a strong value as they have been tested against local challenges that could have been detrimental to the project
Symmetry and Surface Symmetry Energies in Finite Nuclei
A study of properties of the symmetry energy of nuclei is presented based on
density functional theory. Calculations for finite nuclei are given so that the
study includes isospin dependent surface symmetry considerations as well as
isospin independent surface effects. Calculations are done at both zero and
non-zero temperature. It is shown that the surface symmetry energy term is the
most sensitive to the temperature while the bulk energy term is the least
sensitive. It is also shown that the temperature dependence terms are
insensitive to the force used and even more insensitive to the existence of
neutron skin. Results for a symmetry energy with both volume and surface terms
are compared with a symmetry energy with only volume terms along the line of
stability. Differences of several MeV are shown over a good fraction of
the total mass range in . Also given are calculations for the bulk, surface
and Coulomb terms.Comment: 11 pages, 2 figures, Added a new tabl
Bolometric technique for high-resolution broadband microwave spectroscopy of ultra-low-loss samples
A novel low temperature bolometric method has been devised and implemented
for high-precision measurements of the microwave surface resistance of small
single-crystal platelet samples having very low absorption, as a continuous
function of frequency. The key to the success of this non-resonant method is
the in-situ use of a normal metal reference sample that calibrates the absolute
rf field strength. The sample temperature can be controlled independently of
the 1.2 K liquid helium bath, allowing for measurements of the temperature
evolution of the absorption. However, the instrument's sensitivity decreases at
higher temperatures, placing a limit on the useful temperature range. Using
this method, the minimum detectable power at 1.3 K is 1.5 pW, corresponding to
a surface resistance sensitivity of 1 for a typical 1
mm1 mm platelet sample.Comment: 13 pages, 12 figures, submitted to Review of Scientific Instrument
Brueckner-Hartree-Fock study of circular quantum dots
We calculate ground state energies in the Brueckner-Hartree-Fock theory for
electrons (with ) confined to a circular quantum dot and in
presence of a static magnetic field. Comparison with the predictions of
Hartree-Fock, local-spin-density and exact configuration-interaction theories
is made. We find that the correlations taken into account in
Brueckner-Hartree-Fock calculations give an important contribution to the
ground state energies, specially in strongly confined dots. In this
high-density range, corresponding in practice to self-assembled quantum dots,
the results of Brueckner-Hartree-Fock calculations are close to the exact
values and better than those obtained in the local-spin-density approximation.Comment: Regular articl
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