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Small-World Synchronized Computing Networks for Scalable Parallel Discrete-Event Simulations

  • Hasan Guclu
  • György Korniss
  • Zoltán Toroczkai
  • Mark A. Novotny
Part II Network Dynamics
Part of the Lecture Notes in Physics book series (LNP, volume 650)

Abstract

We study the scalability of parallel discrete-event simulations for arbitrary short-range interacting systems with asynchronous dynamics. When the synchronization topology mimics that of the short-range interacting underlying system, the virtual time horizon (corresponding to the progress of the processing elements) exhibits Kardar-Parisi-Zhang-like kinetic roughening. Although the virtual times, on average, progress at a nonzero rate, their statistical spread diverges with the number of processing elements, hindering efficient data collection. We show that when the synchronization topology is extended to include quenched random communication links between the processing elements, they make a close-to-uniform progress with a nonzero rate, without global synchronization. We discuss in detail a coarse-grained description for the small-world synchronized virtual time horizon and compare the findings to those obtained by “simulating the simulations” based on the exact algorithmic rules.

Keywords

Time Horizon Regular Lattice Local Slope Actual PDES Virtual Time 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Authors and Affiliations

  • Hasan Guclu
    • 1
  • György Korniss
    • 1
  • Zoltán Toroczkai
    • 2
  • Mark A. Novotny
    • 3
  1. 1.Department of Physics, Applied Physics, and Astronomy, Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY 12180USA
  2. 2.Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, MS B258 Los Alamos, NM 87545USA
  3. 3.Department of Physics and Astronomy and ERC Center for Computational Sciences, Mississippi State University, P.O. Box 5167, Mississippi State, MS 39762USA

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