14,535 research outputs found
Consensus using Asynchronous Failure Detectors
The FLP result shows that crash-tolerant consensus is impossible to solve in
asynchronous systems, and several solutions have been proposed for
crash-tolerant consensus under alternative (stronger) models. One popular
approach is to augment the asynchronous system with appropriate failure
detectors, which provide (potentially unreliable) information about process
crashes in the system, to circumvent the FLP impossibility.
In this paper, we demonstrate the exact mechanism by which (sufficiently
powerful) asynchronous failure detectors enable solving crash-tolerant
consensus. Our approach, which borrows arguments from the FLP impossibility
proof and the famous result from CHT, which shows that is a weakest
failure detector to solve consensus, also yields a natural proof to as
a weakest asynchronous failure detector to solve consensus. The use of I/O
automata theory in our approach enables us to model execution in a more
detailed fashion than CHT and also addresses the latent assumptions and
assertions in the original result in CHT
Onset Temperature of Slow Dynamics in Glass Forming Liquids
The behaviour of a model glass forming liquid is analyzed for a range of
densities, with a focus on the temperature interval where the liquid begins to
display non-Arrhenius temperature dependence of relaxation times. Analyzing the
dynamics along with properties of local potential energy minima sampled by the
liquid, a crossover or onset temperature is identified below which the
liquid manifests {\it slow dynamics}, and a change in the character of typical
local potential energy minima.Comment: 16 pages, 5 figures, to appear in PhysChemCom
SMARANDACHE NUMBER RELATED TRIANGLES
Given a triangle in Euclidean geometry it is well known that there exist an infinity of triangles each of which is similar to the given one. In Section I we make certain observations on Smarandache numbers
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