2,309 research outputs found
Problems with kinematic mean field electrodynamics at high magnetic Reynolds numbers
We discuss the applicability of the kinematic -effect formalism at
high magnetic Reynolds numbers. In this regime the underlying flow is likely to
be a small-scale dynamo, leading to the exponential growth of fluctuations.
Difficulties arise with both the actual calculation of the
coefficients and with its interpretation. We argue that although the former may
be circumvented -- and we outline several procedures by which the the
coefficients can be computed in principle -- the interpretation of these
quantities in terms of the evolution of the large-scale field may be
fundamentally flawed.Comment: 5 pages, LaTeX, no figure
Bipartite partial duals and circuits in medial graphs
It is well known that a plane graph is Eulerian if and only if its geometric
dual is bipartite. We extend this result to partial duals of plane graphs. We
then characterize all bipartite partial duals of a plane graph in terms of
oriented circuits in its medial graph.Comment: v2: minor changes. To appear in Combinatoric
Recent Developments: Pollitt v. State: The Parties\u27 Express Consent Is Required To Appoint A Replacement For An Excused Juror When Alternate Jurors Have Not Been Chosen
A new proof that alternating links are non-trivial
We use a simple geometric argument and small cancellation properties of link
groups to prove that alternating links are non-trivial. This proof uses only
classic results in topology and combinatorial group theory.Comment: Minor changes. To appear in Fundamenta Mathematica
Flux expulsion with dynamics
In the process of flux expulsion, a magnetic field is expelled from a region of closed streamlines on a TR1/3 m time scale, for magnetic Reynolds number Rm â« 1 (T being the turnover time of the flow). This classic result applies in the kinematic regime where the flow field is specified independently of the magnetic field. A weak magnetic âcoreâ is left at the centre of a closed region of streamlines, and this decays exponentially on the TR1/2 m time scale. The present paper extends these results to the dynamical regime, where there is competition between the process of flux expulsion and the Lorentz force, which suppresses the differential rotation. This competition is studied using a quasi-linear model in which the flow is constrained to be axisymmetric. The magnetic Prandtl number Rm/Re is taken to be small, Rm large, and a range of initial field strengths b0 is considered. Two scaling laws are proposed and confirmed numerically. For initial magnetic fields below the threshold bcore = O(URâ1/3 m ), flux expulsion operates despite the Lorentz force, cutting through field lines to result in the formation of a central core of magnetic field. Here U is a velocity scale of the flow and magnetic fields are measured in AlfvÂŽen units. For larger initial fields the Lorentz force is dominant and the flow creates AlfvÂŽen waves that propagate away. The second threshold is bdynam = O(URâ3/4 m ), below which the field follows the kinematic evolution and decays rapidly. Between these two thresholds the magnetic field is strong enough to suppress differential rotation leaving a magnetically controlled core spinning in solid body motion, which then decays slowly on a time scale of order TRm
Creation and evolution of magnetic helicity
Projecting a non-Abelian SU(2) vacuum gauge field - a pure gauge constructed
from the group element U - onto a fixed (electromagnetic) direction in isospace
gives rise to a nontrivial magnetic field, with nonvanishing magnetic helicity,
which coincides with the winding number of U. Although the helicity is not
conserved under Maxwell (vacuum) evolution, it retains one-half its initial
value at infinite time.Comment: Clarifying remarks and references added; 12 pages, 1 figure using
BoxedEPSF, REVTeX macros; submitted to Phys Rev D; email to
[email protected]
Low magnetic Prandtl number dynamos with helical forcing
We present direct numerical simulations of dynamo action in a forced Roberts
flow. The behavior of the dynamo is followed as the mechanical Reynolds number
is increased, starting from the laminar case until a turbulent regime is
reached. The critical magnetic Reynolds for dynamo action is found, and in the
turbulent flow it is observed to be nearly independent on the magnetic Prandtl
number in the range from 0.3 to 0.1. Also the dependence of this threshold with
the amount of mechanical helicity in the flow is studied. For the different
regimes found, the configuration of the magnetic and velocity fields in the
saturated steady state are discussed.Comment: 9 pages, 14 figure
Barriers to the up-take of telemedicine in Australia - A view from providers
Introduction: The continued poorer health status of rural and remote Australians when compared with their urban counterparts is cause for concern. The use of advanced technology to improve access to health care has the potential to assist in addressing this problem. Telemedicine is one example of such technology which has advanced rapidly in its capacity to increase access to healthcare services or provide previously unavailable services. The important anticipated benefits of greater access to healthcare services are improved health outcomes and more cost-effective delivery
The Performance of Concrete in a Marine Environment
This paper presents a summary of data from wide range of concretes following periods of marine exposure ranging up to 25 years. Data are presented from more than 100 different concrete mixtures. The various types of concrete include fibre-reinforced concrete (FRC), ultra-high performance concrete (UHPC), concrete with a range of supplementary cementing materials (SCM such as fly ash, slag, and silica fume) and replacement levels (e.g. up to 58% fly ash and 80% slag), lightweight-aggregate concrete (LWAC) and concrete containing alkali-silica reactive aggregate. Testing included measuring chloride concentration profiles, electrochemical corrosion measurements (for steel-reinforced concrete), and various electrical and mechanical properties, in addition to the examination of the microstructure. The data invariably show the importance of the binder type in terms of resistance to chloride ingress and the protection conferred on embedded steel reinforcement, however, the overall performance of SCM concrete was equivocal as high replacement levels were observed to lead to increased surface deterioration (scaling) in some cases. The performance of UHPC was exemplary with little significant chloride penetration and no evidence of surface deterioration after up to 20 years exposure and an estimated 2,000+ freeze-thaw cycles. Expansion (and cracking) due to alkali-silica reaction was observed to be reduced by seawater exposure but, perhaps more significantly, render air-entrained concrete highly susceptible to freeze-thaw damage when the expansion exceeded a certain threshold value. The data are discussed in terms of code requirements and the need for appropriate performance testing. The importance of long-term monitoring of concrete on exposure sites is also discussed
Gauge vortex dynamics at finite mass of bosonic fields
The simple derivation of the string equation of motion adopted in the
nonrelativistic case is presented, paying the special attention to the effects
of finite masses of bosonic fields of an Abelian Higgs model. The role of the
finite mass effects in the evaluation of various topological characteristics of
the closed strings is discussed. The rate of the dissipationless helicity
change is calculated. It is demonstrated how the conservation of the sum of the
twisting and writhing numbers of the string is recovered despite the changing
helicity.Comment: considerably revised to include errata to journal versio
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