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Synchronization of conservative parallel discrete event simulations on a small-world network.

Liliia Ziganurova¹, Lev N Shchur¹

¹Science Center in Chernogolovka, 142432 Chernogolovka, Russia and National Research University Higher School of Economics, 101000 Moscow, Russia.

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|September 27, 2018

Summary

Sparse long-range communications impact parallel discrete event simulations synchronization. Synchronization depends on network shortest paths, with critical exponents varying logarithmically with long-range links.

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Area of Science:

Computer Science
Physics

Background:

Parallel discrete event simulations (PDES) are crucial for complex system modeling.
Synchronization is a key challenge in PDES, especially with sparse communication patterns.

Purpose of the Study:

To investigate how sparse long-range communications affect synchronization in PDES.
To model the evolution of local virtual times in conservative PDES algorithms.

Main Methods:

Developed a model for local virtual time evolution in conservative PDES.
Utilized small-world network models for network realizations.
Applied statistical physics approaches, specifically analyzing surface profile growth dynamics.

Main Results:

Synchronization is directly influenced by the average shortest path length of the network.
Time profile dynamics exhibit similarities to surface profile growth.
Without long-range links, the model aligns with the Kardar-Parisi-Zhang universality class.
Critical exponents show a logarithmic dependence on the fraction of long-range links.

Conclusions:

Sparse long-range links in PDES networks can be analyzed using statistical physics and surface growth models.
The interplay between network topology and synchronization is critical for efficient PDES.
Understanding these dynamics can lead to improved synchronization strategies in large-scale simulations.