222 research outputs found
Message-Passing Multi-Cell Molecular Dynamics on the Connection Machine 5
We present a new scalable algorithm for short-range molecular dynamics
simulations on distributed memory MIMD multicomputer based on a message-passing
multi-cell approach. We have implemented the algorithm on the Connection
Machine 5 (CM-5) and demonstrate that meso-scale molecular dynamics with more
than particles is now possible on massively parallel MIMD computers.
Typical runs show single particle update-times of in 2 dimensions
(2D) and approximately in 3 dimensions (3D) on a 1024 node CM-5
without vector units, corresponding to more than 1.8 GFlops overall
performance. We also present a scaling equation which agrees well with actually
observed timings.Comment: 17 pages, Uuencoded compressed PostScript fil
A numerical method for computing radially symmetric solutions of a dissipative nonlinear modified Klein-Gordon equation
In this paper we develop a finite-difference scheme to approximate radially
symmetric solutions of the initial-value problem with smooth initial conditions
in an open sphere around the origin, where the internal and external damping
coefficients are constant, and the nonlinear term follows a power law. We prove
that our scheme is consistent of second order when the nonlinearity is
identically equal to zero, and provide a necessary condition for it to be
stable order n. Part of our study will be devoted to compare the physical
effects of the damping coefficients
Statistical Mechanical Rules Underlying Annihilation and Creaton of Solitons in a Driven Non-linear Schrodinger Equation
この論文は国立情報学研究所の電子図書館事業により電子化されました
Static and dynamic friction in sliding colloidal monolayers
In a pioneer experiment, Bohlein et al. realized the controlled sliding of
two-dimensional colloidal crystals over laser-generated periodic or
quasi-periodic potentials. Here we present realistic simulations and arguments
which besides reproducing the main experimentally observed features, give a
first theoretical demonstration of the potential impact of colloid sliding in
nanotribology. The free motion of solitons and antisolitons in the sliding of
hard incommensurate crystals is contrasted with the soliton-antisoliton pair
nucleation at the large static friction threshold Fs when the two lattices are
commensurate and pinned. The frictional work directly extracted from particles'
velocities can be analysed as a function of classic tribological parameters,
including speed, spacing and amplitude of the periodic potential (representing
respectively the mismatch of the sliding interface, and the corrugation, or
"load"). These and other features suggestive of further experiments and
insights promote colloid sliding to a novel friction study instrument.Comment: in print in the Proceedings of the National Academy of Sciences
U.S.A. This v2 is identical to v1, but includes ancillary material. A few
figures were undersampled due to size limits: those in v1 are far sharpe
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