122,536 research outputs found
Excessive Memory Usage of the ELLPACK Sparse Matrix Storage Scheme throughout the Finite Element Computations
Sparse matrices are occasionally encountered during solution of various problems by means of numerical methods, particularly the finite element method. ELLPACK sparse matrix storage scheme, one of the most widely used methods due to its implementation ease, is investigated in this study. The scheme uses excessive memory due to its definition. For the conventional finite element method, where the node elements are used, the excessive memory caused by redundant entries in the ELLPACK sparse matrix storage scheme becomes negligible for large scale problems. On the other hand, our analyses show that the redundancy is still considerable for the occasions where facet or edge elements have to be used
Spin-Mediated Consciousness: Theory, Experimental Studies, Further Development & Related Topics
We postulate that consciousness is intrinsically connected to quantum spin
since the latter is the origin of quantum effects in both Bohm and Hestenes
quantum formulisms and a fundamental quantum process associated with the
structure of space-time. Applying these ideas to the particular structures and
dynamics of the brain, we have developed a detailed model of quantum
consciousness. We have also carried out experiments from the perspective of our
theory to test the possibility of quantum-entangling the quantum entities
inside the brain with those of an external chemical substance. We found that
applying magnetic pulses to the brain when an anaesthetic was placed in between
caused the brain to feel the effect of said anaesthetic as if the test subject
had actually inhaled the same. We further found that drinking water exposed to
magnetic pulses, laser light or microwave when an anaesthetic was placed in
between also causes brain effects in various degrees. Additional experiments
indicate that the said brain effect is indeed the consequence of quantum
entanglement. Recently we have studied non-local effects in simple physics
systems. We have found that the pH value, temperature and gravity of a liquid
in the detecting reservoirs can be non-locally affected through manipulating
another liquid in a remote reservoir quantum-entangled with the former. In
particular, the pH value changes in the same direction as that being
manipulated; the temperature can change against that of local environment; and
the gravity can change against local gravity. We suggest that they are mediated
by quantum entanglement between nuclear and/or electron spins in treated liquid
and discuss the profound implications of these results. This paper now also
includes materials on further development of the theory and related topics.Comment: 92 pages; expanded content; minor corrections; for additional
information, please visit http://quantumbrain.or
A Critical Behaviour of Anomalous Currents, Electric-Magnetic Universality and CFT_4
We discuss several aspects of superconformal field theories in four
dimensions (CFT_4), in the context of electric-magnetic duality. We analyse the
behaviour of anomalous currents under RG flow to a conformal fixed point in
N=1, D=4 supersymmetric gauge theories. We prove that the anomalous dimension
of the Konishi current is related to the slope of the beta function at the
critical point. We extend the duality map to the (nonchiral) Konishi current.
As a byproduct we compute the slope of the beta function in the strong coupling
regime. We note that the OPE of with itself does not close, but
mixes with a special additional operator which in general is the
Konishi current. We discuss the implications of this fact in generic
interacting conformal theories. In particular, a SCFT_4 seems to be naturally
equipped with a privileged off-critical deformation and this allows us
to argue that electric-magnetic duality can be extended to a neighborhood of
the critical point. We also stress that in SCFT_4 there are two central
charges, c and c', associated with the stress tensor and ,
respectively; c and c' allow us to count both the vector multiplet and the
matter multiplet effective degrees of freedom of the theory.Comment: harvmac tex, 28 pages, 3 figures. Version to be published in Nucl.
Phys.
A unified gas kinetic scheme for transport and collision effects in plasma
In this study, the Vlasov-Poisson equation with or without collision term for
plasma is solved by the unified gas kinetic scheme (UGKS). The Vlasov equation
is a differential equation describing time evolution of the distribution
function of plasma consisting of charged particles with long-range interaction.
The distribution function is discretized in discrete particle velocity space.
After the Vlasov equation is integrated in finite volumes of physical space,
the numerical flux across a cell interface and source term for particle
acceleration are computed to update the distribution function at next time
step. The flux is decided by Riemann problem and variation of distribution
function in discrete particle velocity space is evaluated with central
difference method. A electron-ion collision model is introduced in the Vlasov
equation. This finite volume method for the UGKS couples the free transport and
long-range interaction between particles. The electric field induced by charged
particles is controlled by the Poisson's equation. In this paper, the Poisson's
equation is solved using the Green's function for two dimensional plasma system
subjected to the symmetry or periodic boundary conditions. Two numerical tests
of the linear Landau damping and the Gaussian beam are carried out to validate
the proposed method. The linear electron plasma wave damping is simulated based
on electron-ion collision operator. Compared with previous methods, it is shown
that the current method is able to obtain accurate results of the
Vlasov-Poisson equation with a time step much larger than the particle
collision time. Highly non-equilibrium and rarefied plasma flows, such as
electron flows driven by electromagnetic field, can be simulated easily.Comment: 33 pages, 13 figure
Current Flow and Pair Creation at Low Altitude in Rotation Powered Pulsars' Force-Free Magnetospheres: Space-Charge Limited Flow
(shortened) We report the results of an investigation of particle
acceleration and electron-positron plasma generation at low altitude in the
polar magnetic flux tubes of Rotation Powered Pulsars, when the stellar surface
is free to emit whatever charges and currents are demanded by the force-free
magnetosphere. We observe novel behavior. a) When the current density is less
than the Goldreich-Julian (GJ) value (0<j/j_{GJ}<1), space charge limited
acceleration of the current carrying beam is mild, with the full GJ charge
density being comprised of the charge density of the beam, co-existing with a
cloud of electrically trapped particles with the same sign of charge as the
beam. The voltage drops are on the order of mc^2/e, and pair creation is
absent. b) When the current density exceeds the GJ value (j/j_{GJ}>1), the
system develops high voltage drops, causing emission of gamma rays and intense
bursts of pair creation. The bursts exhibit limit cycle behavior, with
characteristic time scales somewhat longer than the relativistic fly-by time
over distances comparable to the polar cap diameter (microseconds). c) In
return current regions, where j/j_{GJ}<0, the system develops similar bursts of
pair creation. In cases b) and c), the intermittently generated pairs allow the
system to simultaneously carry the magnetospherically prescribed currents and
adjust the charge density and average electric field to force-free conditions.
We also elucidate the conditions for pair creating beam flow to be steady,
finding that such steady flows can occupy only a small fraction of the current
density parameter space of the force-free magnetospheric model. The generic
polar flow dynamics and pair creation is strongly time dependent. The model has
an essential difference from almost all previous quantitative studies, in that
we sought the accelerating voltage as a function of the applied current.Comment: 35 pages, 29 figures. Accepted for publication in MNRAS. Added new
appendix, several minor changes in the tex
Distributed-memory parallelization of an explicit time-domain volume integral equation solver on Blue Gene/P
Two distributed-memory schemes for efficiently parallelizing the explicit marching-on in-time based solution of the time domain volume integral equation on the IBM Blue Gene/P platform are presented. In the first scheme, each processor stores the time history of all source fields and only the computationally dominant step of the tested field computations is distributed among processors. This scheme requires all-to-all global communications to update the time history of the source fields from the tested fields. In the second scheme, the source fields as well as all steps of the tested field computations are distributed among processors. This scheme requires sequential global communications to update the time history of the distributed source fields from the tested fields. Numerical results demonstrate that both schemes scale well on the IBM Blue Gene/P platform and the memory efficient second scheme allows for the characterization of transient wave interactions on composite structures discretized using three million spatial elements without an acceleration algorithm
Solving for Micro- and Macro- Scale Electrostatic Configurations Using the Robin Hood Algorithm
We present a novel technique by which highly-segmented electrostatic
configurations can be solved. The Robin Hood method is a matrix-inversion
algorithm optimized for solving high density boundary element method (BEM)
problems. We illustrate the capabilities of this solver by studying two
distinct geometry scales: (a) the electrostatic potential of a large volume
beta-detector and (b) the field enhancement present at surface of electrode
nano-structures. Geometries with elements numbering in the O(10^5) are easily
modeled and solved without loss of accuracy. The technique has recently been
expanded so as to include dielectrics and magnetic materials.Comment: 40 pages, 20 figure
Two-dimensional turbulence in magnetised plasmas
In an inhomogeneous magnetised plasma the transport of energy and particles
perpendicular to the magnetic field is in general mainly caused by quasi
two-dimensional turbulent fluid mixing. The physics of turbulence and structure
formation is of ubiquitous importance to every magnetically confined laboratory
plasma for experimental or industrial application. Specifically, high
temperature plasmas for fusion energy research are also dominated by the
properties of this turbulent transport. Self-organisation of turbulent vortices
to mesoscopic structures like zonal flows is related to the formation of
transport barriers that can significantly enhance the confinement of a fusion
plasma. This subject of great importance in research is rarely touched on in
introductory plasma physics or continuum dynamics courses. Here a brief
tutorial on 2D fluid and plasma turbulence is presented as an introduction to
the field, appropriate for inclusion in undergraduate and graduate courses.Comment: This is an author-created, un-copyedited version of an article
published in European Journal of Physics. IOP Publishing Ltd is not
responsible for any errors or omissions in this version of the manuscript or
any version derived from it. The definitive publisher authenticated version
is available online at doi: 10.1088/0143-0807/29/5/00
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