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Torus-connected cycles: A simple and scalable topology for interconnection networks

Bossard A., Kaneko K.

International Journal of Applied Mathematics and Computer Science

2015

Vol. 25, no. 4

723--735

Supercomputers are today made up of hundreds of thousands of nodes. The interconnection network is responsible for connecting all these nodes to each other. Different interconnection networks have been proposed; high performance topologies have been introduced as a replacement for the conventional topologies of recent decades. A high order, a low degree and a small diameter are the usual properties aimed for by such topologies. However, this is not sufficient to lead to actual hardware implementations. Network scalability and topology simplicity are two critical parameters, and they are two of the reasons why modern supercomputers are often based on torus interconnection networks (e.g., Fujitsu K, IBM Sequoia). In this paper we first describe a new topology, torus-connected cycles (TCCs), realizing a combination of a torus and a ring, thus retaining interesting properties of torus networks in addition to those of hierarchical interconnection networks (HINs). Then, we formally establish the diameter of a TCC, and deduce a point-to-point routing algorithm. Next, we propose routing algorithms solving the Hamiltonian cycle problem, and, in a two dimensional TCC, the Hamiltonian path one. Correctness and complexities are formally proved. The proposed algorithms are time-optimal.

Nanorogi węglowe - modelowanie i właściwości adsorpcyjne

Terzyk A. P., Furmaniak S., Kaneko K., Gauden P. A., Kowalczyk P., Itoh T

Inżynieria i Ochrona Środowiska

2013

T. 16, nr 2

217--223

Nanorogi węglowe są obecnie jedną z najbardziej interesujących form węgla. W pracy przedstawiono pierwszy atomowy model nanorogów węglowych. Omówiono wyniki symulacji komputerowych adsorpcji Ar i ich porównanie z danymi doświadczalnymi. W dalszej części skonfrontowano teoretyczne i eksperymentalne wyniki rozdziału mieszaniny CH4/CO2. Uzyskane wyniki prowadzą do wniosku, że o ile podczas określania krzywej dystrybucji średnic nanorogów za pomocą badań adsorpcji Ar nanorogi można przybliżać modelem nieskończonej rurki (część stożkowa nie gra roli), o tyle w przypadku rozdziału mieszaniny CH4/CO2 obecność części stożkowej ma kluczowe znaczenie i decyduje o przewadze nanorogów nad nanorurkami węglowymi o tej samej średnicy.

Single Walled Carbon Nanohorn (SWNH) is one of the most interesting new forms of carbon. We present the first atomistic model of SWNH. Next we discuss the results of molecular simulations of Ar adsorption, and the comparison with experimental data. The application of SWNHs for CH4/CO2 mixture separation is also discussed. It is concluded that during calculation of the PSD curve the tip is not important. In the contrary, it plays a crucial role in the separation of considered mixture. In this way, SWNHs are more promising materials than carbon nanotubes and can be applied for CO2 capture from a biogas.

Freezing Behavior in Porous Materials : Theory and Experiment

Śliwińska-Bartkowiak M., Dudziak G., Sikorski R., Gras R., Gubbins K. E., Radhakrishnan R., Kaneko K.

Polish Journal of Chemistry

2001

Vol. 75, nr 4

547-555

We report both experimental measurements and molecular simulations of the melting and freezing behavior of simple fluids in porous media. Activated carbon fibers, having a mean pore width of 1.7 nm, were chosen as the porous medium. Differential scanning calorimetry (DSC) and dielectric relaxation spectroscopy (DS) were used to determine the melting point in these materials. The melting point was found to be very sensitive to the relative strength of the fluid-wall interaction compared to the fluid-fluid interaction. Monte Carlo simulations and Landau free energy formalism were used to determine the shift in the melting point, Tm, for simple fluids in pores having repulsive, weakly attractive and strongly attractive walls. The strength of the interaction of the fluid with the pore wall is shown to have a large effect on the shift in Tm, with Tm being reduced for weakly attracting walls. The theory of corresponding states is used to compare the experimental results for several systems to the simulation results. This approach also provides a unified approach in understanding the diverse freezing behavior in porous media.