a set of physicists from the Skobeltsyn Institute of Nuclear
Physics, the Lomonosov Moscow nation university, has found out to apply a
private pc for calculations of complex equations of quantum mechanics,
generally solved with assist of supercomputers. This laptop does the task a
whole lot faster. an editorial approximately the effects of the paintings has
been published in the journal computer Physics Communications.
Senior researchers Vladimir Pomerantcev and Olga Rubtsova,
operating underneath the steering of Professor Vladimir Kukulin (SINP MSU),
were capable of use on an ordinary desktop computer with GPU to remedy complex
fundamental equations of quantum mechanics -- formerly solved handiest with the
effective, costly supercomputers. in step with Vladimir Kukulin, the personal
laptop does the job a good deal faster: in 15 mins it is doing the work
requiring commonly 2-3 days of the supercomputer time.
The equations in query were formulated in the '60s by the
Russian mathematician Ludwig Faddeev. The equations describe the scattering of
a few quantum particles, i.e., constitute a quantum mechanical analog of the
Newtonian principle of the three frame structures. because the end result, the
complete subject of quantum mechanics known as "physics of few-body systems"
appeared quickly after this.
This region poses a exceptional interest to scientists
engaged in quantum mechanics, nuclear and atomic physics and the theory of
scattering. For several many years after the pioneering work of Faddeev one of
their major functions became to learn how to remedy these complicated
equations. however, because of the fantastic complexity of the calculations
within the case of absolutely sensible interactions among a gadget's debris
stood out of the researchers' attain for a long time, until the supercomputers
appeared.
The state of affairs modified dramatically after the
organization of SINP determined to use one of the new Nvidia GPs designed for
use in sport consoles on their personal computer. consistent with one of the
authors Vladimir Kukulin, Head of Laboratory of Nuclear principle, the
processor was now not the most steeply-priced, of those that you may purchase
for $300-500.
the primary trouble in solving the scattering equations of
multiple quantum particles become the calculation of the vital kernel -- a
large -dimensional table, which includes tens or hundreds of lots of rows and
columns, with every element of one of these large matrix being the end result
of extraordinarily complex calculations. however this table seemed to look like
a display display screen with tens of billions of pixels, and with an amazing
GPU it become quite possible to calculate all of these. the usage of the
software advanced in Nvidia and having written their personal programs, the
researchers split their calculations on the various hundreds of streams and had
been able to clear up the problem brilliantly.
"We reached the rate we couldn't even dream of,"
Vladimir Kukulin said. "the program computes 260 million of complex double
integrals on a computing device laptop inside three seconds simplest. No
assessment with supercomputers! My colleague from the university of Bochum in
Germany (lately deceased, mournfully), whose lab did the identical, executed
the calculations with the aid of one in every of the largest supercomputers in
Germany with the famous blue gene structure this is simply very luxurious. And
what his institution is searching for for two or three days, we do in 15
minutes free of charge."
The most superb factor is that the preferred first-class of
images processors and a huge amount of software to them exist for ten years
already, but no person used them for such calculations, who prefer
supercomputers. anyway, our physicists amazed their Western opposite numbers
quite a great deal.
"This paintings, in our opinion, opens up absolutely
new ways to investigate nuclear and resonance chemical reactions," says
Vladimir Kukulin. "it is able to additionally be very beneficial for
fixing a huge range of computing responsibilities in plasma physics, electrodynamics,
geophysics, medication and lots of other regions of technological know-how. We
need to prepare a form of training path, wherein researchers from diverse
scientific regions of peripheral universities that don't have get right of
entry to to supercomputers may want to learn to do on their computers the equal
factor that we do."
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