5,834 research outputs found
DCCP Simultaneous-Open Technique to Facilitate NAT/Middlebox Traversal
https://datatracker.ietf.org/doc/rfc5595/Publisher PD
A Hamiltonian Approach to the Mass of Isolated Black Holes
Boundary conditions defining a non-rotating isolated horizon are given in
Einstein-Maxwell theory. A spacetime representing a black hole which itself is
in equilibrium but whose exterior contains radiation admits such a horizon.
Inspired by Hamiltonian mechanics, a (quasi-)local definition of isolated
horizon mass is formulated. Although its definition does not refer to infinity,
this mass takes the standard value in a Reissner-Nordstrom solution.
Furthermore, under certain technical assumptions, the mass of an isolated
horizon is shown to equal the future limit of the Bondi energy.Comment: 5 pages, LaTeX 2.09, 1 eps figure. To appear in the proceedings of
the Eighth Canadian Conference on General Relativity and Relativistic
Astrophysic
Canonical Phase Space Formulation of Quasilocal General Relativity
We construct a Hamiltonian formulation of quasilocal general relativity using
an extended phase space that includes boundary coordinates as configuration
variables. This allows us to use Hamiltonian methods to derive an expression
for the energy of a non-isolated region of space-time that interacts with its
neighbourhood. This expression is found to be very similar to the Brown-York
quasilocal energy that was originally derived by Hamilton-Jacobi methods. We
examine the connection between the two formalisms and find that when the
boundary conditions for the two are harmonized, the resulting quasilocal
energies are identical.Comment: 31 pages, 2 figures, references added, typos corrected, section 3
revised for clarity, to appear in Classical and Quantum Gravit
Measurement-based Protocol Design
Peer reviewedPostprin
Isolated Horizons: A Generalization of Black Hole Mechanics
A set of boundary conditions defining a non-rotating isolated horizon are
given in Einstein-Maxwell theory. A space-time representing a black hole which
itself is in equilibrium but whose exterior contains radiation admits such a
horizon . Physically motivated, (quasi-)local definitions of the mass and
surface gravity of an isolated horizon are introduced. Although these
definitions do not refer to infinity, the quantities assume their standard
values in Reissner-Nordstrom solutions. Finally, using these definitions, the
zeroth and first laws of black hole mechanics are established for isolated
horizons.Comment: 9 pages, LaTeX2e, 3 eps figure
How robust is the ring stain for evaporating suspension droplets?
The ring stain is commonly seen when droplets containing particles, such as coffee, are left to dry on a surface: a pinned contact line leads to outward radial flow, which is enhanced by the diverging evaporative flux at the contact line. As shown by Deegan et al. (1997) particles are swept outwards in this flow and create a ring which grows according to a simple power law with time. The final dried width and height of the ring should also be given by power laws of concentration, with both exponent equal to 0.5 provided all particles are in the ring, and the packing factor and ring profile are constant. We use suspensions of polystyrene particles in water with sizes ranging from 200 to 500 nm and initial concentrations c 0 from 0.009% to 1% deposited on glass substrates to investigate these scaling predictions. We vary the drying rate from 0.5 to 5 nl/s using humidity and reduced pressure, use a range of substrates to vary the initial contact angle between 5° and 35°, and invert the droplets to change the direction of gravity. We find that for all but the very lowest pressures, the ring height follows the predicted power law, with exponent equal to 0.50 ± 0.04 and the ring width having an exponent of 0.33 ± 0.05. The discrepancy between the measured and predicted width exponent is accounted for by an observed variation of droplet radius with concentration, and the presence of particles in the center of the droplet. In addition, for low pressures (fast evaporation) the scaling laws no longer hold: the ring is much narrower and there is significant deposition in the center of the droplet, possibly due to reduced particle-enhanced pinning
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